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육진법 - 위키백과, 우리 모두의 백과사전

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class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">주 메뉴</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">숨기기</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> 둘러보기 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EB%8C%80%EB%AC%B8" title="대문으로 가기 [z]" accesskey="z"><span>대문</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EC%B5%9C%EA%B7%BC%EB%B0%94%EB%80%9C" title="위키의 최근 바뀐 목록 [r]" accesskey="r"><span>최근 바뀜</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/%ED%8F%AC%ED%84%B8:%EC%9A%94%EC%A6%98_%ED%99%94%EC%A0%9C" title="최근의 소식 알아 보기"><span>요즘 화제</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EC%9E%84%EC%9D%98%EB%AC%B8%EC%84%9C" title="무작위로 선택된 문서 불러오기 [x]" accesskey="x"><span>임의의 문서로</span></a></li> </ul> </div> </div> <div id="p-사용자_모임" class="vector-menu mw-portlet mw-portlet-사용자_모임" > <div class="vector-menu-heading"> 사용자 모임 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-projectchat" class="mw-list-item"><a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EC%82%AC%EB%9E%91%EB%B0%A9"><span>사랑방</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EC%82%AC%EC%9A%A9%EC%9E%90_%EB%AA%A8%EC%9E%84" title="위키백과 참여자를 위한 토론/대화 공간입니다."><span>사용자 모임</span></a></li><li id="n-request" class="mw-list-item"><a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EC%9A%94%EC%B2%AD"><span>관리 요청</span></a></li> </ul> </div> </div> <div id="p-편집_안내" class="vector-menu mw-portlet mw-portlet-편집_안내" > <div class="vector-menu-heading"> 편집 안내 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-helpintro" class="mw-list-item"><a href="/wiki/%EB%8F%84%EC%9B%80%EB%A7%90:%EC%86%8C%EA%B0%9C"><span>소개</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EB%8F%84%EC%9B%80%EB%A7%90" title="도움말"><span>도움말</span></a></li><li id="n-policy" class="mw-list-item"><a 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vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%ED%8A%B9%EC%88%98:%EA%B2%80%EC%83%89" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="위키백과 검색 [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>검색</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="위키백과 검색" aria-label="위키백과 검색" autocapitalize="sentences" 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[o]" accesskey="o" class=""><span>로그인</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="더 많은 옵션" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="개인 도구" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">개인 도구</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="사용자 메뉴" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_ko.wikipedia.org&amp;uselang=ko"><span>기부</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%ED%8A%B9%EC%88%98:%EA%B3%84%EC%A0%95%EB%A7%8C%EB%93%A4%EA%B8%B0&amp;returnto=%EC%9C%A1%EC%A7%84%EB%B2%95" title="계정을 만들고 로그인하는 것이 좋습니다. 하지만 필수는 아닙니다"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>계정 만들기</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%ED%8A%B9%EC%88%98:%EB%A1%9C%EA%B7%B8%EC%9D%B8&amp;returnto=%EC%9C%A1%EC%A7%84%EB%B2%95" title="위키백과에 로그인하면 여러가지 편리한 기능을 사용할 수 있습니다. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>로그인</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 로그아웃한 편집자를 위한 문서 <a href="/wiki/%EB%8F%84%EC%9B%80%EB%A7%90:%EC%86%8C%EA%B0%9C" aria-label="편집에 관해 더 알아보기"><span>더 알아보기</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EA%B8%B0%EC%97%AC" title="이 IP 주소의 편집 목록 [y]" accesskey="y"><span>기여</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EC%82%AC%EC%9A%A9%EC%9E%90%ED%86%A0%EB%A1%A0" title="현재 사용하는 IP 주소에 대한 토론 문서 [n]" accesskey="n"><span>토론</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="사이트"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="목차" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">목차</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">숨기기</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">처음 위치</div> </a> </li> <li id="toc-기수법" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#기수법"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>기수법</span> </div> </a> <ul id="toc-기수법-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-멱_승수" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#멱_승수"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>멱 승수</span> </div> </a> <ul id="toc-멱_승수-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-분할_가능성" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#분할_가능성"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>분할 가능성</span> </div> </a> <button aria-controls="toc-분할_가능성-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>분할 가능성 하위섹션 토글하기</span> </button> <ul id="toc-분할_가능성-sublist" class="vector-toc-list"> <li id="toc-정수" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#정수"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>정수</span> </div> </a> <ul id="toc-정수-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-소수" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#소수"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>소수</span> </div> </a> <ul id="toc-소수-sublist" class="vector-toc-list"> <li id="toc-계산_예" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#계산_예"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.1</span> <span>계산 예</span> </div> </a> <ul id="toc-계산_예-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-손가락으로_세는_방법" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#손가락으로_세는_방법"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>손가락으로 세는 방법</span> </div> </a> <ul id="toc-손가락으로_세는_방법-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-소수_(수론)와_배수" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#소수_(수론)와_배수"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>소수 (수론)와 배수</span> </div> </a> <ul id="toc-소수_(수론)와_배수-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-같이_보기" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#같이_보기"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>같이 보기</span> </div> </a> <ul id="toc-같이_보기-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="목차" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="목차 토글" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">목차 토글</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">육진법</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="다른 언어로 문서를 방문합니다. 27개 언어로 읽을 수 있습니다" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-27" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">27개 언어</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/%C5%A0estkov%C3%A1_soustava" title="Šestková soustava – 체코어" lang="cs" hreflang="cs" data-title="Šestková soustava" data-language-autonym="Čeština" data-language-local-name="체코어" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Sen%C3%A4r" title="Senär – 독일어" lang="de" hreflang="de" data-title="Senär" data-language-autonym="Deutsch" data-language-local-name="독일어" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CE%BE%CE%B1%CE%B4%CE%B9%CE%BA%CF%8C_%CF%83%CF%8D%CF%83%CF%84%CE%B7%CE%BC%CE%B1_%CE%B1%CF%81%CE%AF%CE%B8%CE%BC%CE%B7%CF%83%CE%B7%CF%82" title="Εξαδικό σύστημα αρίθμησης – 그리스어" lang="el" hreflang="el" data-title="Εξαδικό σύστημα αρίθμησης" data-language-autonym="Ελληνικά" data-language-local-name="그리스어" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Senary" title="Senary – 영어" lang="en" hreflang="en" data-title="Senary" data-language-autonym="English" data-language-local-name="영어" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Sesuma_nombrosistemo" title="Sesuma nombrosistemo – 에스페란토어" lang="eo" hreflang="eo" data-title="Sesuma nombrosistemo" data-language-autonym="Esperanto" data-language-local-name="에스페란토어" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Sistema_senario" title="Sistema senario – 스페인어" lang="es" hreflang="es" data-title="Sistema senario" data-language-autonym="Español" data-language-local-name="스페인어" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zenbaki-sistema_seitar" title="Zenbaki-sistema seitar – 바스크어" lang="eu" hreflang="eu" data-title="Zenbaki-sistema seitar" data-language-autonym="Euskara" data-language-local-name="바스크어" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AF%D8%B3%D8%AA%DA%AF%D8%A7%D9%87_%D8%A7%D8%B9%D8%AF%D8%A7%D8%AF_%D9%BE%D8%A7%DB%8C%D9%87_%DB%B3%DB%B6" title="دستگاه اعداد پایه ۳۶ – 페르시아어" lang="fa" hreflang="fa" data-title="دستگاه اعداد پایه ۳۶" data-language-autonym="فارسی" data-language-local-name="페르시아어" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Senaarij%C3%A4rjestelm%C3%A4" title="Senaarijärjestelmä – 핀란드어" lang="fi" hreflang="fi" data-title="Senaarijärjestelmä" data-language-autonym="Suomi" data-language-local-name="핀란드어" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Syst%C3%A8me_s%C3%A9naire" title="Système sénaire – 프랑스어" lang="fr" hreflang="fr" data-title="Système sénaire" data-language-autonym="Français" data-language-local-name="프랑스어" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Sist%C3%A8m_sen%C3%A8" title="Sistèm senè – 아이티어" lang="ht" hreflang="ht" data-title="Sistèm senè" data-language-autonym="Kreyòl ayisyen" data-language-local-name="아이티어" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Hatos_sz%C3%A1mrendszer" title="Hatos számrendszer – 헝가리어" lang="hu" hreflang="hu" data-title="Hatos számrendszer" data-language-autonym="Magyar" data-language-local-name="헝가리어" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Sistema_numerico_senario" title="Sistema numerico senario – 이탈리아어" lang="it" hreflang="it" data-title="Sistema numerico senario" data-language-autonym="Italiano" data-language-local-name="이탈리아어" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%85%AD%E9%80%B2%E6%B3%95" title="六進法 – 일본어" lang="ja" hreflang="ja" data-title="六進法" data-language-autonym="日本語" data-language-local-name="일본어" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Sz%C3%B3stkowy_system_liczbowy" title="Szóstkowy system liczbowy – 폴란드어" lang="pl" hreflang="pl" data-title="Szóstkowy system liczbowy" data-language-autonym="Polski" data-language-local-name="폴란드어" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Sistem_senar" title="Sistem senar – 루마니아어" lang="ro" hreflang="ro" data-title="Sistem senar" data-language-autonym="Română" data-language-local-name="루마니아어" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Senary" title="Senary – Simple English" lang="en-simple" hreflang="en-simple" data-title="Senary" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Senary" title="Senary – 소말리아어" lang="so" hreflang="so" data-title="Senary" data-language-autonym="Soomaaliga" data-language-local-name="소말리아어" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Sen%C3%A4ra_talsystemet" title="Senära talsystemet – 스웨덴어" lang="sv" hreflang="sv" data-title="Senära talsystemet" data-language-autonym="Svenska" data-language-local-name="스웨덴어" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%A5%E0%B8%82%E0%B8%90%E0%B8%B2%E0%B8%99%E0%B8%AB%E0%B8%81" title="เลขฐานหก – 태국어" lang="th" hreflang="th" data-title="เลขฐานหก" data-language-autonym="ไทย" data-language-local-name="태국어" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A8%D1%96%D1%81%D1%82%D0%BA%D0%BE%D0%B2%D0%B0_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F" title="Шісткова система числення – 우크라이나어" lang="uk" hreflang="uk" data-title="Шісткова система числення" data-language-autonym="Українська" data-language-local-name="우크라이나어" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Oltilik_sanoq_sistemasi" title="Oltilik sanoq sistemasi – 우즈베크어" lang="uz" hreflang="uz" data-title="Oltilik sanoq sistemasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="우즈베크어" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%E1%BB%87_l%E1%BB%A5c_ph%C3%A2n" title="Hệ lục phân – 베트남어" lang="vi" hreflang="vi" data-title="Hệ lục phân" data-language-autonym="Tiếng Việt" data-language-local-name="베트남어" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%85%AD%E8%BF%9B%E5%88%B6" title="六进制 – 중국어" lang="zh" hreflang="zh" data-title="六进制" data-language-autonym="中文" data-language-local-name="중국어" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%85%AD%E9%80%B2%E5%88%B6" title="六進制 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="六進制" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Lio%CC%8Dk-ch%C3%ACn-hoat" title="Lio̍k-chìn-hoat – 민난어" lang="nan" hreflang="nan" data-title="Lio̍k-chìn-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="민난어" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%85%AD%E9%80%B2%E5%88%B6" title="六進制 – 광둥어" lang="yue" hreflang="yue" data-title="六進制" data-language-autonym="粵語" data-language-local-name="광둥어" class="interlanguage-link-target"><span>粵語</span></a></li> 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href="/wiki/%EA%B8%B0%EC%88%98%EB%B2%95" title="기수법">기수법</a></th></tr><tr><th class="sidebar-heading"> 개념</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EB%B0%91_(%EC%88%98%ED%95%99)" title="밑 (수학)">밑</a></li> <li><a href="/wiki/%EC%9C%84%EC%B9%98_%EA%B8%B0%EC%88%98%EB%B2%95" title="위치 기수법">위치 기수법</a></li> <li><a href="/w/index.php?title=%EB%B9%84%EC%A0%95%EC%88%98_%EA%B8%B0%EC%88%98%EB%B2%95&amp;action=edit&amp;redlink=1" class="new" title="비정수 기수법 (없는 문서)">비정수 기수법</a></li></ul></td> </tr><tr><th class="sidebar-heading"> <a href="/wiki/%EC%88%AB%EC%9E%90" title="숫자">숫자</a></th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EB%B0%94%EB%B9%8C%EB%A1%9C%EB%8B%88%EC%95%84_%EC%88%AB%EC%9E%90" title="바빌로니아 숫자">바빌로니아 숫자</a></li> <li><a href="/wiki/%EC%9D%B4%EC%A7%91%ED%8A%B8_%EC%88%AB%EC%9E%90" title="이집트 숫자">이집트 숫자</a></li> <li><a href="/wiki/%EA%B7%B8%EB%A6%AC%EC%8A%A4_%EC%88%AB%EC%9E%90" title="그리스 숫자">그리스 숫자</a></li> <li><a href="/wiki/%EB%A1%9C%EB%A7%88_%EC%88%AB%EC%9E%90" title="로마 숫자">로마 숫자</a></li> <li><a href="/wiki/%EB%A7%88%EC%95%BC_%EC%88%AB%EC%9E%90" title="마야 숫자">마야 숫자</a></li> <li><a href="/wiki/%EC%95%84%EB%9D%BC%EB%B9%84%EC%95%84_%EC%88%AB%EC%9E%90" title="아라비아 숫자">아라비아 숫자</a></li> <li><a href="/wiki/%ED%95%9C%EC%9E%90_%EC%88%AB%EC%9E%90" class="mw-redirect" title="한자 숫자">한자 숫자</a></li></ul></td> </tr><tr><th class="sidebar-heading"> 진법</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EC%9D%BC%EC%A7%84%EB%B2%95" title="일진법">단항 기수법</a> (1)</li> <li><a href="/wiki/%EC%9D%B4%EC%A7%84%EB%B2%95" title="이진법">이진법</a> (2)</li> <li><a href="/wiki/%EC%82%BC%EC%A7%84%EB%B2%95" title="삼진법">삼진법</a> (3)</li> <li><a href="/wiki/%EC%82%AC%EC%A7%84%EB%B2%95" title="사진법">사진법</a> (4)</li> <li><a href="/wiki/%EC%98%A4%EC%A7%84%EB%B2%95" title="오진법">오진법</a> (5)</li> <li><a class="mw-selflink selflink">육진법</a> (6)</li> <li><a href="/wiki/%ED%8C%94%EC%A7%84%EB%B2%95" title="팔진법">팔진법</a> (8)</li> <li><a href="/wiki/%EA%B5%AC%EC%A7%84%EB%B2%95" title="구진법">구진법</a> (9)</li> <li><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> (10)</li> <li><a href="/wiki/%EC%8B%AD%EC%9D%BC%EC%A7%84%EB%B2%95" title="십일진법">십일진법</a> (11)</li> <li><a href="/wiki/%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="십이진법">십이진법</a> (12)</li> <li><a href="/wiki/%EC%8B%AD%EC%98%A4%EC%A7%84%EB%B2%95" title="십오진법">십오진법</a> (15)</li> <li><a href="/wiki/%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="십육진법">십육진법</a> (16)</li> <li><a href="/wiki/%EC%8B%AD%ED%8C%94%EC%A7%84%EB%B2%95" title="십팔진법">십팔진법</a> (18)</li> <li><a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> (20)</li> <li><a href="/wiki/%EC%82%BC%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="삼십육진법">삼십육진법</a> (36)</li> <li><a href="/wiki/%EC%9C%A1%EC%8B%AD%EC%A7%84%EB%B2%95" title="육십진법">육십진법</a> (60)</li></ul></td> </tr></tbody></table> <p><b>육진법</b>(六進法, senary, heximal)은 <a href="/wiki/6" title="6">6</a>을 밑으로 하는 <a href="/wiki/%EA%B8%B0%EC%88%98%EB%B2%95" title="기수법">기수법</a>이다. 사용 <a href="/wiki/%EC%88%AB%EC%9E%90" title="숫자">숫자</a>는 <a href="/wiki/0" title="0">0</a>에서 <a href="/wiki/5" title="5">5</a>까지 총 6종류이다. <a href="/wiki/6" title="6">6</a>을 사용하는 N진법은 7진법부터다. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="기수법"><span id=".EA.B8.B0.EC.88.98.EB.B2.95"></span>기수법</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=1" title="부분 편집: 기수법"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable" style="text-align:right"> <tbody><tr> <th>육진법 </th> <td><b>0</b></td> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td><b>10</b></td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td><b>20</b></td> <td>21</td> <td>22</td> <td>23</td> <td>24</td> <td>25</td> <td><b>30</b></td> <td>31</td> <td>32 </td></tr> <tr> <th><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> </th> <td>0</td> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19</td> <td>20 </td></tr> <tr> <th><a href="/wiki/%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="십이진법">십이진법</a> </th> <td>0</td> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>B</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18 </td></tr> <tr> <th><a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> </th> <td>0</td> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>B</td> <td>C</td> <td>D</td> <td>E</td> <td>F</td> <td>G</td> <td>H</td> <td>I</td> <td>J</td> <td>10 </td></tr></tbody></table> <table class="wikitable" style="text-align:right"> <tbody><tr> <th>육진법 </th> <td>33</td> <td>34</td> <td>35</td> <td><b>40</b></td> <td>41</td> <td>42</td> <td>43</td> <td>44</td> <td>45</td> <td><b>50</b></td> <td>51</td> <td>52</td> <td>53</td> <td>54</td> <td>55</td> <td><b>100</b></td> <td>101</td> <td>102</td> <td>103</td> <td>104</td> <td>105 </td></tr> <tr> <th>십진법 </th> <td>21</td> <td>22</td> <td>23</td> <td>24</td> <td>25</td> <td>26</td> <td>27</td> <td>28</td> <td>29</td> <td>30</td> <td>31</td> <td>32</td> <td>33</td> <td>34</td> <td>35</td> <td>36</td> <td>37</td> <td>38</td> <td>39</td> <td>40</td> <td>41 </td></tr> <tr> <th>십이진법 </th> <td>19</td> <td>1A</td> <td>1B</td> <td>20</td> <td>21</td> <td>22</td> <td>23</td> <td>24</td> <td>25</td> <td>26</td> <td>27</td> <td>28</td> <td>29</td> <td>2A</td> <td>2B</td> <td>30</td> <td>31</td> <td>32</td> <td>33</td> <td>34</td> <td>35 </td></tr> <tr> <th>이십진법 </th> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19</td> <td>1A</td> <td>1B</td> <td>1C</td> <td>1D</td> <td>1E</td> <td>1F</td> <td>1G</td> <td>1H</td> <td>1I</td> <td>1J</td> <td>20</td> <td>21 </td></tr></tbody></table> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Backgammon_PrecisionDice.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Backgammon_PrecisionDice.jpg/216px-Backgammon_PrecisionDice.jpg" decoding="async" width="216" height="186" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Backgammon_PrecisionDice.jpg/324px-Backgammon_PrecisionDice.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/88/Backgammon_PrecisionDice.jpg/432px-Backgammon_PrecisionDice.jpg 2x" data-file-width="600" data-file-height="517" /></a><figcaption><a href="/wiki/%EC%A3%BC%EC%82%AC%EC%9C%84" title="주사위">주사위</a>. <a href="/wiki/6" title="6">6</a>의 측이 "10"이된다.</figcaption></figure> <p>육진법에 의한 기수법은 <a href="/wiki/5" title="5">5</a>의 다음이다 <a href="/wiki/6" title="6">6</a>을 "10"로 6 분의 1을 "0.1"로 표현한다. <a href="/wiki/%EC%A3%BC%EC%82%AC%EC%9C%84" title="주사위">주사위</a>과 같은 6개 세트의 물건 잘 사용되는 계산 방법이며, <a href="/wiki/9" title="9">9</a>를 "13"(1×6 + 3), <a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> <a href="/wiki/10" title="10">10</a>을 "14"(1×6 + 4), 십진법 <a href="/wiki/12" title="12">12</a>을 "20"(2×6), 십진법 <a href="/wiki/16" title="16">16</a>을 "24"(2×6 + 4)로 표현. </p><p><a href="/wiki/6" title="6">육</a>이 10이되므로, 육진법에서는 "10의 절반은 3"이된다. 따라서, 3의 <a href="/wiki/%EB%B0%B0%EC%88%98" title="배수">배수</a>는 <a href="/wiki/1" title="1">일</a>의 자리가 3 또는 0의 어떤 것인가가된다. 표기법도 십진법 21가 "33", 3의 3 승에 해당하는 십진법 27가 "43"가 3의 배수가 계산 쉬워진다. <a href="/wiki/%EC%88%98%EC%82%AC_(%ED%92%88%EC%82%AC)" title="수사 (품사)">수사 (품사)</a>역시 <a href="/wiki/12" title="12">십이</a>는 "<i>이육</i>"(2×6), <a href="/wiki/18" title="18">십팔</a>는 "<i>세육</i>"(3×6), <a href="/wiki/15" title="15">십오</a>는 "<i>이육삼</i>"(2×6 + 3), <a href="/wiki/21" title="21">이십일</a>는 "<i>삼육삼</i>"(3×6 + 3), <a href="/wiki/27" title="27">이십칠</a>는 "<i>사육삼</i>"(4×6 + 3) 라는 방법이된다. 반대로, 3으로 나뉘어 떨어지지 않는 개수도 <a href="/wiki/10" title="10">십</a>는 "<i>육사</i>"(6 + 4), <a href="/wiki/16" title="16">십육</a>는 "<i>이육사</i>"(2×6 + 4), <a href="/wiki/25" title="25">이십오</a>는 "<i>사육일</i>"(4×6 + 1)이되고, 일의 자리에 3의 배수가 오지 않는다. 정수의 용례도 십진법의 "24 시간" "이십사 시간"은 육진법에서는 "40 시간" "<i>사육</i> 시간"이된다. </p> <dl><dt>100 (십진법 36) 이후의 숫자</dt></dl> <p><a href="/wiki/%EC%A0%95%EC%88%98" title="정수">정수</a>의 <a href="/wiki/%EA%B1%B0%EB%93%AD%EC%A0%9C%EA%B3%B1" title="거듭제곱">승멱</a>는 십진법 <a href="/wiki/36" title="36">36</a> (6<sup>2</sup>)가 100, 십진법 <a href="/wiki/216" title="216">216</a> (6<sup>3</sup>)가 1000, 십진법 <a href="/wiki/1296" class="mw-redirect" title="1296">1296</a> (6<sup>4</sup>)이 10000 이된다. 100 (십진법 36)이후의 숫자도 다음과 같다. 수치를 보더라도 십진법 500은 "5 × (2<sup>2</sup>×<b>5</b><sup>2</sup>) = 2<sup>2</sup>×5<sup>3</sup>" 에게 분해되는데, 육진법 500은 "5 × (2<sup>2</sup>×<b>3</b><sup>2</sup>)"에게 분해되어 십진법 <a href="/wiki/180" title="180">180</a>에 상당하는 수가된다. </p> <ul><li>십진법 <a href="/wiki/56" title="56">56</a> = 132 (1×6<sup>2</sup> + 3×6<sup>1</sup> + 2)</li> <li>십진법 <a href="/wiki/64" title="64">64</a> = 144 (1×6<sup>2</sup> + 4×6<sup>1</sup> + 4)</li> <li>십진법 <a href="/wiki/81" title="81">81</a> = 213 (2×6<sup>2</sup> + 1×6<sup>1</sup> + 3)</li> <li>십진법 <a href="/wiki/100" title="100">100</a> = 244 (2× 6<sup>2</sup> + 4× 6<sup>1</sup> + 4)</li> <li>십진법 <a href="/wiki/108" title="108">108</a> = 300 (5× 6<sup>2</sup>)</li> <li>십진법 <a href="/wiki/175" title="175">175</a> = 451 (4× 6<sup>2</sup> + 5× 6<sup>1</sup> + 1)</li> <li>십진법 <a href="/wiki/180" title="180">180</a> = 500 (5× 6<sup>2</sup>)</li> <li>십진법 <a href="/wiki/216" title="216">216</a> = 1000 (1× 6<sup>3</sup>)</li> <li>십진법 <a href="/wiki/256" title="256">256</a> = 1104 (1×6<sup>3</sup> + 1×6<sup>2</sup> + 0×6<sup>1</sup> + 4)</li> <li>십진법 <a href="/wiki/432" title="432">432</a> = 2000 (2×6<sup>3</sup>)</li> <li>십진법 <a href="/wiki/625" title="625">625</a> = 2521 (2×6<sup>3</sup> + 5×6<sup>2</sup> + 2×6<sup>1</sup> + 1)</li> <li>십진법 <a href="/wiki/729" title="729">729</a> = 3213 (3×6<sup>3</sup> + 2×6<sup>2</sup> + 1×6<sup>1</sup> + 3)</li> <li>십진법 <a href="/wiki/1000" title="1000">1000</a> = 4344 (4×6<sup>3</sup> + 3×6<sup>2</sup> + 4×6<sup>1</sup> + 4)</li> <li>십진법 1097 = 5025 (5×6<sup>3</sup> + 0×6<sup>2</sup> + 2×6<sup>1</sup> + 5)</li> <li>십진법 <a href="/wiki/1296" class="mw-redirect" title="1296">1296</a> = 10000 (1×6<sup>4</sup>)</li> <li>십진법 <a href="/wiki/1944" title="1944">1944</a> = 13000 (1×6<sup>4</sup> + 3×6<sup>3</sup>)</li> <li>십진법 <a href="/wiki/2000" title="2000">2000</a> = 13132 (1×6<sup>4</sup> + 3×6<sup>3</sup> + 1×6<sup>2</sup> + 3×6<sup>1</sup> + 2)</li> <li>십진법 5184 = 40000 (1×6<sup>4</sup> + 3×6<sup>3</sup> + 1×6<sup>2</sup> + 3×6<sup>1</sup> + 2)</li> <li>십진법 6561 = 50213 (5×6<sup>4</sup> + 0×6<sup>3</sup> + 2×6<sup>2</sup> + 1×6<sup>1</sup> + 3)</li> <li>십진법 <a href="/wiki/7776" class="mw-redirect" title="7776">7776</a> = 100000 (1×6<sup>5</sup>)</li> <li>십진법 8019 = 101043 (1×6<sup>5</sup> + 0×6<sup>4</sup> + 1×6<sup>3</sup> + 0×6<sup>2</sup> + 4×6<sup>1</sup> + 3)</li> <li>십진법 27216 = 330000 (3×6<sup>5</sup> + 3×6<sup>4</sup>)</li></ul> <dl><dt>소수의 자릿수</dt></dl> <p><a href="/wiki/%EC%86%8C%EC%88%98_(%EA%B8%B0%EC%88%98%EB%B2%95)" title="소수 (기수법)">소수 (기수법)</a>는 십진법 36 분의 1 (6<sup>-2</sup>)가 0.01, 십진법 216 분의 1 (6<sup>-3</sup>)가 0.001, 십진법 1296 분의 1 (6<sup>-4</sup>)이 0.0001 이된다. </p> <ul><li>십진법 <a href="/wiki/10" title="10">10</a>/36 = 0.14 (1 × 6<sup>-1</sup> + 4 × 6<sup>-2</sup>)</li> <li>십진법 <a href="/wiki/28" title="28">28</a>/36 (<a href="/wiki/%EC%95%BD%EB%B6%84" class="mw-redirect" title="약분">약분</a>하여 7/9) = 0.44 (2×6<sup>-1</sup> + 1×6<sup>-2</sup> + 3×6<sup>-3</sup>)</li> <li>십진법 81/216 (<a href="/wiki/%EC%95%BD%EB%B6%84" class="mw-redirect" title="약분">약분</a>하여 3/8) = 0.213 (2×6<sup>-1</sup> + 1×6<sup>-2</sup> + 3×6<sup>-3</sup>)</li> <li>십진법 <a href="/wiki/125" title="125">125</a>/216 = 0.325 (3×6<sup>-1</sup> + 2×6<sup>-2</sup> + 5×6<sup>-3</sup>)</li> <li>십진법 <a href="/wiki/567" class="mw-redirect" title="567">567</a>/1296 (십진법에서 약분하여 7/16) = 0.2343 (2×6<sup>-1</sup> + 3×6<sup>-2</sup> + 4×6<sup>-3</sup> + 3×6<sup>-4</sup>)</li> <li>십진법 <a href="/wiki/1024" title="1024">1024</a>/1296 (십진법에서 약분하여 64/81) = 0.4424 (4×6<sup>-1</sup> + 4×6<sup>-2</sup> + 2×6<sup>-3</sup> + 4×6<sup>-4</sup>)</li></ul> <dl><dt><a href="/wiki/%EC%82%AC%EC%B9%99_%EC%97%B0%EC%82%B0" class="mw-redirect" title="사칙 연산">사칙 연산</a>도 예를 들어</dt> <dd></dd></dl> <ul><li>십진법 "5 + 5 = 10"는 육진법에서는 "5 + 5 = 14"이된다.</li> <li>십진법 "21 + 9 = 30"는 육진법에서는 "33 + 13 = 50"이된다.</li> <li>십진법 "1944 + 56 = <a href="/wiki/2000" title="2000">2000</a>"는 육진법에서는 "13000 + 132 = 13132"이된다.</li> <li>십진법 "444 - 12 = 432"는 육진법에서는 "2020 - 20 = 2000"이된다.</li> <li>십진법 "81 × 16 = 1296"는 육진법에서는 "213 × 24 = 10000"이된다.</li> <li>십진법 "36 ÷ 4 = <a href="/wiki/9" title="9">9</a>"는 육진법에서는 "100 ÷ 4 = 13"이된다.</li> <li>십진법 "100 ÷ 4 = <a href="/wiki/25" title="25">25</a>"는 육진법에서는 "244 ÷ 4 = 41"이된다.</li></ul> <table class="wikitable" style="text-align:center; float:left"> <caption>육진 <a href="/wiki/%EB%8D%A7%EC%85%88" title="덧셈">덧셈</a>표 </caption> <tbody><tr> <th>+</th> <th>0</th> <th>1</th> <th>2</th> <th>3</th> <th>4</th> <th>5 </th></tr> <tr> <th>0 </th> <td>0</td> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5 </td></tr> <tr> <th>1 </th> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td>10 </td></tr> <tr> <th>2 </th> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td>10</td> <td>11 </td></tr> <tr> <th>3 </th> <td>3</td> <td>4</td> <td>5</td> <td>10</td> <td>11</td> <td>12 </td></tr> <tr> <th>4 </th> <td>4</td> <td>5</td> <td>10</td> <td>11</td> <td>12</td> <td>13 </td></tr> <tr> <th>5 </th> <td>5</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14 </td></tr></tbody></table> <table class="wikitable" style="text-align:center; float:left"> <caption>육진 <a href="/wiki/%EA%B3%B1%EC%85%88%ED%91%9C" class="mw-redirect" title="곱셈표">곱셈표</a> </caption> <tbody><tr> <th>×</th> <th>0</th> <th>1</th> <th>2</th> <th>3</th> <th>4</th> <th>5 </th></tr> <tr> <th>0 </th> <td>0</td> <td>0</td> <td>0</td> <td>0</td> <td>0</td> <td>0 </td></tr> <tr> <th>1 </th> <td>0</td> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5 </td></tr> <tr> <th>2 </th> <td>0</td> <td>2</td> <td>4</td> <td>10</td> <td>12</td> <td>14 </td></tr> <tr> <th>3 </th> <td>0</td> <td>3</td> <td>10</td> <td>13</td> <td>20</td> <td>23 </td></tr> <tr> <th>4 </th> <td>0</td> <td>4</td> <td>12</td> <td>20</td> <td>24</td> <td>32 </td></tr> <tr> <th>5 </th> <td>0</td> <td>5</td> <td>14</td> <td>23</td> <td>32</td> <td>41 </td></tr></tbody></table> <div style="clear:both;"></div> <div class="mw-heading mw-heading2"><h2 id="멱_승수"><span id=".EB.A9.B1_.EC.8A.B9.EC.88.98"></span>멱 승수</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=2" title="부분 편집: 멱 승수"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>숫자의 종류가 육 종류이므로 자리수의 증가는 빠르고, 십진법 7776이 육진법 100,000 가되어, 십진법 46,656이 육진법 1,000,000 (육진법 10<sup>10</sup> = 십진법 6<sup>6</sup>) 가된다. </p><p>육진법로는 "2 × 3 = 10"이되므로, 육의 멱 승수는 "2<sup>n</sup> × 3<sup>n</sup> = 10<sup>n</sup>" 로서 표현할 수 있다. 따라서, 2<sup>2</sup> × 3<sup>2</sup>가 100이되고, 2<sup>3</sup> × 3<sup>3</sup>가 1000이된다. 육(10)의 멱 승수 이외에 중요한 멱 수로는 2<sup>10</sup>에 해당하는 144 (십진법 2<sup>6</sup> = <a href="/wiki/64" title="64">64</a>)와 3<sup>10</sup>에 해당하는 3213 (십진법 3<sup>6</sup> = <a href="/wiki/729" title="729">729</a>)을들 수있다. </p><p>육진법 과 십진법은 "10이 두 가지 소수의 곱"이라는 공통점을 가지고 있기 때문에, 멱 승수의 접근이 비교적 많다. 특히 "십의 3n 제곱 (14<sup>3n</sup>)"과 "육의 4n 제곱 (10<sup>4n</sup>)"는 상당히 가까운 수치가됩니다. 육진수를 4 자리마다 콤마로 구분하면: </p> <ul><li><a href="/wiki/1000" title="1000">천</a> (14<sup>3</sup>, kilo)에 가장 가까운 멱 승수는 십진법 1,296 (육진법 1,0000 및 10<sup>4</sup>)</li> <li><a href="/wiki/1000000" class="mw-redirect" title="1000000">백만</a> (14<sup>10</sup>, mega)에 가장 가까운 멱 승수는 십진법 1,679,616 (육진법 1,0000,0000 및 10<sup>12</sup>)</li> <li><a href="/wiki/1000000000" class="mw-redirect" title="1000000000">십억</a> (14<sup>13</sup>, giga)에 가장 가까운 멱 승수는 십진법 2,176,782,336 (육진법 1,0000,0000,0000 및 10<sup>20</sup>)</li> <li><a href="/wiki/1000000000000" class="mw-redirect" title="1000000000000">일조</a> (14<sup>20</sup>, tera)에 가장 가까운 멱 승수는 십진법 2,821,109,907,456 (육진법 1,0000,0000,0000,0000 및 10<sup>24</sup>)</li></ul> <p>로 쉼표의 개수가 일치한다. 또한, 육진법 표기에는 천은 4,344에 백만은 33,233,344에 십억는 243,121,245,344에 <a href="/wiki/10000000000" class="mw-redirect" title="10000000000">백억</a> (십진법 10,000,000,000 및 10<sup>10</sup>)는 4,332,142,412,144에 일조는 2,043,221,010,301,344이된다. </p><p>이 외에도 <a href="/wiki/10000" class="mw-redirect" title="10000">일만</a>에 가장 가까운 멱 승수가 십진법 7776 (육진법 100,000), <a href="/wiki/50000" class="mw-redirect" title="50000">오만</a>에 가장 가까운 멱 수가 십진법 46656 (육진법 1,000,000 및 10<sup>10</sup>), 육과 십의 멱 승수가 가장 근접하는 수치가 십진법 10,077,696 = 육진법 1,000,000,000입니다 "십의 7n 제곱 (14<sup>11n</sup>)"과 "육의 9n 제곱 (10<sup>13n</sup>)"도 상당히 가까운 수치가된다. 따라서 무리수의 소수 부분의 환산으로는 십진 소수 7 자리를 육진 소수 9 자리로 변환하게 된다. </p> <table class="wikitable" style="text-align:right"> <caption>육의 멱승수 </caption> <tbody><tr> <th>멱 지수</th> <th>육진법</th> <th><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a></th> <th><a href="/wiki/%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="십이진법">십이진법</a></th> <th><a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> </th></tr> <tr> <th>1 </th> <td>10</td> <td>6</td> <td>6</td> <td>6 </td></tr> <tr> <th>2 </th> <td>100</td> <td>36</td> <td>30</td> <td>1G </td></tr> <tr> <th>3 </th> <td>1,000</td> <td>216</td> <td>160</td> <td>AG </td></tr> <tr> <th>4 </th> <td>10,000</td> <td>1,296</td> <td>900</td> <td>34G </td></tr> <tr> <th>5 </th> <td>100,000</td> <td>7,776</td> <td>4,600</td> <td>J8G </td></tr> <tr> <th>10 </th> <td>1,000,000</td> <td>46,656</td> <td>23,000</td> <td>5,GCG </td></tr> <tr> <th>11 </th> <td>10,000,000</td> <td>279,936</td> <td>116,000</td> <td>1E,JGG </td></tr> <tr> <th>12 </th> <td>100,000,000</td> <td>1,679,616</td> <td>690,000</td> <td>A9,J0G </td></tr> <tr> <th>13 </th> <td>1,000,000,000</td> <td>10,077,696</td> <td>3,460,000</td> <td>32J,E4G </td></tr> <tr> <th>14 </th> <td>10,000,000,000</td> <td>60,466,176</td> <td>18,300,000</td> <td>IHI,58G </td></tr> <tr> <th>15 </th> <td>100,000,000,000</td> <td>362,797,056</td> <td>A1,600,000</td> <td>5,D79,CCG </td></tr> <tr> <th>20 </th> <td>1,000,000,000,000</td> <td>2,176,782,336</td> <td>509,000,000</td> <td>1E,04H,FGG </td></tr> <tr> <th>21 </th> <td>10,000,000,000,000</td> <td>13,060,694,016</td> <td>2,646,000,000</td> <td>A4,196,F0G </td></tr> <tr> <th>22 </th> <td>100,000,000,000,000</td> <td>78,364,164,096</td> <td>13,230,000,000</td> <td>314,8G0,A4G </td></tr> <tr> <th>23 </th> <td>1,000,000,000,000,000</td> <td>470,184,984,576</td> <td>77,160,000,000</td> <td>I76,CG3,18G </td></tr> <tr> <th>24 </th> <td>10,000,000,000,000,000</td> <td>2,821,109,907,456</td> <td>396,900,000,000</td> <td>5,A3J,GGI,8CG </td></tr> <tr> <th>25 </th> <td>100,000,000,000,000,000</td> <td>16,926,659,444,736</td> <td>1,A94,600,000,000</td> <td>1D,13J,11A,BGG </td></tr> <tr> <th>30 </th> <td>1,000,000,000,000,000,000</td> <td>101,559,956,668,416</td> <td>B,483,000,000,000</td> <td>9I,73E,693,B0G </td></tr></tbody></table> <table class="wikitable"> <caption>멱승수 표 </caption> <tbody><tr align="center"> <th>지수 </th> <th>1</th> <th>2</th> <th>3</th> <th>4</th> <th>5</th> <th>10</th> <th>11</th> <th>12</th> <th>13</th> <th>14</th> <th>15</th> <th>20 </th></tr> <tr align="center"> <th>2 </th> <td>2</td> <td>4</td> <td>12</td> <td>24</td> <td>52</td> <td>144</td> <td>332</td> <td>1104</td> <td>2212</td> <td>4424</td> <td>13252</td> <td>30544 </td></tr> <tr align="center"> <th>3 </th> <td>3</td> <td>13</td> <td>43</td> <td>213</td> <td>1043</td> <td>3213</td> <td>14043</td> <td>50213</td> <td>231043</td> <td>1133213</td> <td>3444043</td> <td>15220213 </td></tr> <tr align="center"> <th>5 </th> <td>5</td> <td>41</td> <td>325</td> <td>2521</td> <td>22245</td> <td>200201</td> <td>1401405</td> <td>12212241</td> <td>105510125</td> <td>545151121</td> <td>4502320045</td> <td>40120440401 </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="분할_가능성"><span id=".EB.B6.84.ED.95.A0_.EA.B0.80.EB.8A.A5.EC.84.B1"></span>분할 가능성</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=3" title="부분 편집: 분할 가능성"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="정수"><span id=".EC.A0.95.EC.88.98"></span>정수</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=4" title="부분 편집: 정수"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>육진법에서는 6가 10이되므로, "10 ÷ 2 = 3" "10 ÷ 3 = 2"가되고, "100 ÷ 3"과 "1000 ÷ 3"도 나눌 수있다, "1000 ÷ 3 = 200" "10000 ÷ 3 = 2000"이된다. </p> <ul><li>멱 지수가 2 <ul><li>100 ÷ 2 = 30 (<a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a>에서는 <a href="/wiki/36" title="36">36</a> ÷ 2 = 18)</li> <li>100 ÷ 3 = 20 (십진법에서는 36 ÷ 3 = 12)</li> <li>100 ÷ <b>4</b> = 13 (십진법에서는 36 ÷ <a href="/wiki/4" title="4">4</a> = <a href="/wiki/9" title="9">9</a>, 6<sup>2</sup> ÷ 2<sup>2</sup> = 3<sup>2</sup>)</li> <li>100 ÷ 10 = 10 (십진법에서는 36 ÷ 6 = 6)</li> <li>100 ÷ <b>13</b> = 4 (십진법에서는 36 ÷ 9 = 4 , 6<sup>2</sup> ÷ 3<sup>2</sup> = 2<sup>2</sup>)</li></ul></li> <li>멱 지수가 3 <ul><li>1000 ÷ 2 = 300 (<a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a>에서는 <a href="/wiki/216" title="216">216</a> ÷ 2 = 108)</li> <li>1000 ÷ 3 = 200 (십진법에서는 216 ÷ 3 = 72)</li> <li>1000 ÷ 4 = 130 (십진법에서는 216 ÷ 4 = 54)</li> <li>1000 ÷ 10 = 100 (십진법에서는 216 ÷ 6 = 36)</li> <li>1000 ÷ <b>12</b> = 43 (십진법에서는 216 ÷ <a href="/wiki/8" title="8">8</a> = <a href="/wiki/27" title="27">27</a>, 6<sup>3</sup> ÷ 2<sup>3</sup> = 3<sup>3</sup>)</li> <li>1000 ÷ 13 = 40 (십진법에서는 216 ÷ 9 = 24)</li> <li>1000 ÷ <b>43</b> = 12 (십진법에서는 216 ÷ 27 = 8 , 6<sup>3</sup> ÷ 3<sup>3</sup> = 2<sup>3</sup>)</li></ul></li> <li>멱 지수가 4 <ul><li>10000 ÷ 2 = 3000 (십진법에서는 <a href="/wiki/1296" class="mw-redirect" title="1296">1296</a> ÷ 2 = 648)</li> <li>10000 ÷ 3 = 2000 (십진법에서는 1296 ÷ 3 = 432)</li> <li>10000 ÷ 4 = 1300 (십진법에서는 1296 ÷ 4 = 324)</li> <li>10000 ÷ 10 = 1000 (십진법에서는 1296 ÷ 6 = 216)</li> <li>10000 ÷ 12 = 430 (십진법에서는 1296 ÷ 8 = 162)</li> <li>10000 ÷ 13 = 400 (십진법에서는 1296 ÷ 9 = 144)</li> <li>10000 ÷ <b>24</b> = 213 (십진법에서는 1296 ÷ <a href="/wiki/16" title="16">16</a> = <a href="/wiki/81" title="81">81</a>, 6<sup>4</sup> ÷ 2<sup>4</sup> = 3<sup>4</sup>)</li> <li>10000 ÷ 43 = 120 (십진법에서는 1296 ÷ 27 = 48)</li> <li>10000 ÷ <b>213</b> = 24 (십진법에서는 1296 ÷ 81 = 16 , 6<sup>4</sup> ÷ 3<sup>4</sup> = 2<sup>4</sup>)</li></ul></li></ul> <div class="mw-heading mw-heading3"><h3 id="소수"><span id=".EC.86.8C.EC.88.98"></span>소수</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=5" title="부분 편집: 소수"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>육진법에서는 1/6은 "0.1"이므로, 1/2는 "0.3"에서 1/3는 "0.2"가되어, 1/3는 분할 수 있다 <a href="/wiki/%EC%86%8C%EC%88%98_(%EA%B8%B0%EC%88%98%EB%B2%95)" title="소수 (기수법)">소수 (기수법)</a>된다. </p><p><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a>에서는 "10"인 <a href="/wiki/10" title="10">십</a>은 <a href="/wiki/%EC%86%8C%EC%88%98_(%EC%88%98%EB%A1%A0)" title="소수 (수론)">소수 (수론)</a> <a href="/wiki/2" title="2">2</a>와 <a href="/wiki/5" title="5">5</a>의 곱이므로, 1/5은 나누어 떨어지는하지만, 1/3이 나누어 떨어지지 않다. 그러나 육진법의 "10"인 <a href="/wiki/6" title="6">육</a>은 소수 2와 <a href="/wiki/3" title="3">3</a>의 곱이므로 1/3은 나눌 수있는 한편, 1/5가 나누어 떨어지지 않는다. "5 + 1 = 10" "2×3 = 10"이므로, 2와 3이라는 기본적인 수치에 의한 연산이 매우 용이하게 된다. <a href="/wiki/%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="십이진법">십이진법</a> (3×4 = 10)와 <a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> (4×5 = 10)이 "자릿수의 절감"과 "<a href="/wiki/4" title="4">4</a>의 이슈"에 중점을두고있는 반면, 육진법은 "2와 3을 동등하게 취급" 과 "5의 이슈"에 중점을두고있는 것이 특징이다. </p><p>육은 2로 나누어 떨어지는 있지만 4에서는 나누어 떨어지지 않기 때문에, 1/4은 0.13이되고, 소수점 이하 2 자리에서 분자가 <a href="/wiki/9" title="9">9</a> (= 13)가된다. 마찬가지로, 1/9 (= 1/13)도 0.04 가된다. 2와 3의 멱 지수가 동일하므로 1/8 (= 1/12)는 0.043 와 같이 1/27<sub>(10)</sub> (= 1/43)는 0.012와 같이, 2<sup>n</sup>의 <a href="/wiki/%EC%97%AD%EC%88%98" class="mw-redirect" title="역수">역수</a>는 3<sup>n</sup>이되어, 3<sup>n</sup>의 역수는 2<sup>n</sup> 이된다. </p><p>또한, 육진법은 "10-1 = 5", 십진법은 "10-1 = 3<sup>2</sup>"이므로 양쪽 모두 나눌 수없는 소수 (육진법이라고 5 십진법이라고 3)의 <a href="/wiki/%EC%88%9C%ED%99%98_%EC%86%8C%EC%88%98" class="mw-redirect" title="순환 소수">순환 절</a>은 짧은. 십진법에서는 3<sup>3</sup>의 역수가 순환 절은 3 (3<sup>1</sup>) 자리, 3<sup>4</sup>의 역수가 순환 절은 9 (3<sup>2</sup>)자리 대하여, 육진법 도 같이 5<sup>2</sup>의 역수는 순환 절은 5 (5<sup>1</sup>) 자리이다. 순환 절은 5<sup>2</sup>에 도달하기 역수는 육진법은 5<sup>3</sup>으로 5<sup>2</sup> (41<sub>(6)</sub>, 25<sub>(10)</sub>) 자리, 십진법은 3<sup>5</sup>으로 3<sup>3</sup> (43<sub>(6)</sub>, 27<sub>(10)</sub>) 자리이다. </p><p>나뉘어 떨어지지 않는 소수에 대해서도 십진법에서는 1/3, 1/9, 1/3<sup>3</sup>(= 1/27<sub>(10)</sub>)에서 101<sub>(6)</sub> = <a href="/wiki/37" title="37">37</a><sub>(10)</sub>의 배수가 나타나는 반면, 육진법에서는 1/5와 1/7 (= 1/11<sub>(6)</sub>)에서 101<sub>(6)</sub> = 37<sub>(10)</sub>의 배수가 나타난다. 실제로 십진법 999 (= 육진법 4343)와 육진법 5555 (= 십진법 1295)은 모두 101<sub>(6)</sub> = 37<sub>(10)</sub>의 배수이다. </p> <dl><dt>주요 <a href="/wiki/%EB%B6%84%EC%88%98_(%EC%88%98%ED%95%99)" title="분수 (수학)">분수</a></dt></dl> <ul><li>1/2 = 0.3</li> <li>1/3 = 0.2</li> <li>2/3 = 0.4</li> <li>1/4 = 0.13 (십진법로 환산 해 <a href="/wiki/9" title="9">9</a>/<a href="/wiki/36" title="36">36</a>)</li> <li>3/4 = 0.43 (십진법로 환산 해 <a href="/wiki/27" title="27">27</a>/36)</li> <li>1/5 = 0.<u>1</u>111…</li> <li>2/5 = 0.<u>2</u>222…</li> <li>3/5 = 0.<u>3</u>333…</li> <li>4/5 = 0.<u>4</u>444…</li> <li>1/9 = 1/13 = 0.04 (십진법로 환산 해 4/36)</li> <li>2/9 = 2/13 = 0.12 (십진법로 환산 해 <a href="/wiki/8" title="8">8</a>/36)</li> <li>4/9 = 4/13 = 0.24 (십진법로 환산 해 <a href="/wiki/16" title="16">16</a>/36)</li> <li>5/9 = 5/13 = 0.32 (십진법로 환산 해 <a href="/wiki/20" title="20">20</a>/36)</li> <li>7/9 = 11/13 = 0.44 (십진법로 환산 해 <a href="/wiki/28" title="28">28</a>/36)</li> <li>8/9 = 12/13 = 0.52 (십진법로 환산 해 <a href="/wiki/32" title="32">32</a>/36. 9/10<sub>(10)</sub> = 13/14 = 0.5<u>2</u>222…의 <a href="/wiki/%EA%B7%BC%EC%82%AC%EC%B9%98" class="mw-redirect" title="근사치">근사치</a>)</li></ul> <dl><dt>소수 2 자리가 될 분수</dt></dl> <ul><li>1/12<sub>(10)</sub> = 1/20 = 0.03 (십진법로 환산 해 3/36) <ul><li>5/12<sub>(10)</sub> = 5/20 = 0.23 (십진법로 환산 해 15/36)</li> <li>7/12<sub>(10)</sub> = 11/20 = 0.33 (십진법로 환산 해 21/36)</li> <li>11/12<sub>(10)</sub> = 15/20 = 0.53 (십진법로 환산 해 33/36)</li></ul></li> <li>1/18<sub>(10)</sub> = 1/30 = 0.02 (십진법로 환산 해 2/36) <ul><li>5/18<sub>(10)</sub> = 5/30 = 0.14 (십진법로 환산 해 10/36)</li> <li>11/18<sub>(10)</sub> = 15/30 = 0.34 (십진법로 환산 해 22/36)</li> <li>13/18<sub>(10)</sub> = 21/30 = 0.42 (십진법로 환산 해 26/36)</li></ul></li></ul> <dl><dt>소수 3 자리가 될 분수</dt></dl> <ul><li>1/8 = 1/12 = 0.043 (2<sup>-3</sup>, 십진법로 환산 해 27/<a href="/wiki/216" title="216">216</a>) <ul><li>3/8 = 3/12 = 0.213 (십진법로 환산 해 <a href="/wiki/81" title="81">81</a>/216)</li> <li>5/8 = 5/12 = 0.343 (십진법로 환산 해 <a href="/wiki/135" title="135">135</a>/216)</li> <li>7/8 = 11/12 = 0.513 (십진법로 환산 해 <a href="/wiki/189" title="189">189</a>/216)</li></ul></li> <li>1/27<sub>(10)</sub> = 1/43 = 0.012 (3<sup>-3</sup>, 십진법로 환산 해 8/216) <ul><li>8/27<sub>(10)</sub> = 12/43 = 0.144 (십진법로 환산 해 <a href="/wiki/64" title="64">64</a>/216. 3/10<sub>(10)</sub> = 3/14 = 0.1<u>4</u>444…의 <a href="/wiki/%EA%B7%BC%EC%82%AC%EC%B9%98" class="mw-redirect" title="근사치">근사치</a>)</li> <li>11/27<sub>(10)</sub> = 15/43 = 0.224 (십진법로 환산 해 <a href="/wiki/88" title="88">88</a>/216. 4/10<sub>(10)</sub> = 2/5 = 0.<u>2</u>222…의 근사치)</li> <li>16/27<sub>(10)</sub> = 24/43 = 0.332 (십진법로 환산 해 <a href="/wiki/128" title="128">128</a>/216. 6/10<sub>(10)</sub> = 3/5 = 0.<u>3</u>333…의 근사치)</li> <li>19/27<sub>(10)</sub> = 31/43 = 0.412 (십진법로 환산 해 <a href="/wiki/152" title="152">152</a>/216. 7/10<sub>(10)</sub> = 11/14 = 0.4<u>1</u>111…의 근사치)</li></ul></li></ul> <div class="mw-heading mw-heading4"><h4 id="계산_예"><span id=".EA.B3.84.EC.82.B0_.EC.98.88"></span>계산 예</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=6" title="부분 편집: 계산 예"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/7" title="7">7</a><sup>2</sup> ÷ <a href="/wiki/2" title="2">2</a> <ul><li>십진법&#160;: 49 ÷ 2 = 24.5</li> <li>육진법&#160;: 121 ÷ 2 = 40.3 {육진법 40.3 = 십진법로 환산 해 24 + (1/2) }</li> <li>육진법&#160;: 121 × 0.3 = 40.3</li></ul></li> <li>7<sup>2</sup> ÷ <a href="/wiki/4" title="4">4</a> (제수가 2<sup>2</sup>) <ul><li>십진법&#160;: 49 ÷ 4 = 12.25</li> <li>육진법&#160;: 121 ÷ 4 = 20.13 {육진법 20.13 = 십진법로 환산 해 12 + (9 / 36) = 12 + (1/4) }</li> <li>육진법&#160;: 121 × 0.13 = 20.13</li></ul></li> <li>7<sup>2</sup> ÷ <a href="/wiki/8" title="8">8</a> (제수가 2<sup>3</sup>) <ul><li>십진법&#160;: 49 ÷ 8 = 6.125</li> <li>육진법&#160;: 121 ÷ 12 = 10.043 {육진법 10.043 = 십진법로 환산 해 6 + (27 / 216) = 6 + (1/8) }</li> <li>육진법&#160;: 121 × 0.043 = 10.043</li></ul></li> <li><a href="/wiki/100" title="100">백</a>의 1/<a href="/wiki/3" title="3">3</a> (제수가 3) <ul><li>십진법&#160;: 100 ÷ 3 = 33.<u>3</u>333…</li> <li>육진법&#160;: 244 ÷ 3 = 53.2 {육진법 53.2 = 십진법로 환산 해 33 + (1/3) }</li> <li>육진법&#160;: 244 × 0.2 = 53.2</li></ul></li> <li><a href="/wiki/100" title="100">백</a>의 1/<a href="/wiki/9" title="9">9</a> (제수가 3<sup>2</sup>) <ul><li>십진법&#160;: 100 ÷ 9 = 11.<u>1</u>111…</li> <li>육진법&#160;: 244 ÷ 13 = 15.04 {육진법 53.2 = 십진법로 환산 해 11 + (4/36) = 11 + (1/9) }</li> <li>육진법&#160;: 244 × 0.04 = 15.04</li></ul></li> <li><a href="/wiki/100" title="100">백</a>의 1/<a href="/wiki/27" title="27">27</a><sub>(10)</sub> (제수가 3<sup>3</sup>) <ul><li>십진법&#160;: 100 ÷ 27 = 3.<u>703</u>…</li> <li>육진법&#160;: 244 ÷ 43 = 3.412 {육진법 3.412 = 십진법로 환산 해 3 + (152/216) = 3 + (19/27) }</li> <li>육진법&#160;: 244 × 0.012 = 3.412</li></ul></li> <li><a href="/wiki/1000" title="1000">천</a>의 2/3 <ul><li>십진법&#160;: 1000 × (2/3) = 666.<u>6</u>666…</li> <li>육진법&#160;: 4344 × 0.4 = 3030.4 {육진법 3030.4 = 십진법로 환산 해 666 + (4/6) = 666 + (2/3) }</li></ul></li> <li><a href="/wiki/1000" title="1000">천</a>의 4/<a href="/wiki/9" title="9">9</a> <ul><li>십진법&#160;: 1000 × (4/9) = 444.<u>4</u>444…</li> <li>육진법&#160;: 4344 × (4/13) = 2020.24 {육진법 2020.24 = 십진법로 환산 해 444 + (16/36) = 444 + (4/9) }</li> <li>육진법&#160;: 4344 × 0.24 = 2020.24</li></ul></li> <li>2<sup>6</sup> ÷ 3 (<a href="/wiki/64" title="64">육십사</a>의 1/3) <ul><li><a href="/wiki/%ED%8C%94%EC%A7%84%EB%B2%95" title="팔진법">팔진법</a>&#160;: 100 ÷ 3 = 25.<u>25</u>25…</li> <li>십진법&#160;: 64 ÷ 3 = 21.<u>3</u>333…</li> <li>육진법&#160;: 144 ÷ 3 = 33.2 {육진법 33.2 = 십진법로 환산 해 21 + (1/3) }</li></ul></li> <li>2<sup>6</sup> ÷ 5 (육십사의 1/5) <ul><li>팔진법&#160;: 100 ÷ 5 = 14.<u>6314</u>…</li> <li>십진법&#160;: 64 ÷ 5 = 12.8</li> <li>육진법&#160;: 144 ÷ 5 = 20.<u>4</u>444…</li></ul></li> <li>4<sup>4</sup> ÷ 3<sup>3</sup> (<a href="/wiki/256" title="256">이백 오십육</a>의 1/27<sub>(10)</sub>) <ul><li><a href="/wiki/%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="십육진법">십육진법</a>&#160;: 100 ÷ 1B = 9.<u>7B425ED09</u>…</li> <li>십진법&#160;: 256 ÷ 27 = 9.<u>481</u>…</li> <li>육진법&#160;: 1104 ÷ 43 = 13.252 {육진법 13.252 = 십진법로 환산 해 9 + (104/216) = 9 + (13/27) }</li></ul></li> <li>4<sup>4</sup> ÷ 5<sup>2</sup> (이백 오십육의 1/25<sub>(10)</sub>) <ul><li><a href="/wiki/%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="십육진법">십육진법</a>&#160;: 100 ÷ 19 = A.<u>3D70A</u>…</li> <li>십진법&#160;: 256 ÷ 25 = 10.24 {십진법 10.24 = 십진법로 환산 해 10 + (24/100) = 10 + (6/25) }</li> <li>육진법&#160;: 1104 ÷ 41 = 14.<u>12350</u>…</li></ul></li> <li>9<sup>3</sup> ÷ 4<sup>2</sup> (= 3<sup>6</sup> ÷ 2<sup>4</sup>) <ul><li>십진법&#160;: 729 ÷ 16 = 45.5625 {십진법 45 + (5625 / 10000) = 45 + (9/16) }</li> <li>육진법&#160;: 3213 ÷ 24 = 113.3213 {육진법 113.3213 = 십진법로 환산 해 45 + (729 / 1296) = 45 + (9/16) }</li></ul></li> <li>8<sup>2</sup> ÷ 9<sup>2</sup> (= 2<sup>6</sup> ÷ 3<sup>4</sup>) <ul><li>십진법&#160;: 64 ÷ 81 = 0.<u>790123456</u>…</li> <li>육진법&#160;: 144 ÷ 213 = 0.4424 {육진법 0.4424 = 십진법로 환산 해 1024 / 1296 = 64 / 81}</li></ul></li> <li>십진법 79 <a href="/wiki/%EB%B0%B1%EB%B6%84%EC%9C%A8" title="백분율">%</a> <ul><li>십진법&#160;: 79 ÷ <a href="/wiki/100" title="100">100</a> = 0.79</li> <li>육진법&#160;: 211 ÷ 244 = 0.44<u>23501</u>…</li></ul></li> <li>육진법 35 "%<sub>6</sub>" (육진 백분율, 즉 삼십육 분의 몇개) <ul><li>십진법&#160;: 23 ÷ <a href="/wiki/36" title="36">36</a> = 0.63<u>8</u>888…</li> <li>육진법&#160;: 35 ÷ 100 = 0.35</li></ul></li> <li>5<sup>2</sup> ÷ 2<sup>6</sup> (육진법 5<sup>2</sup> ÷ 2<sup>10</sup>) <ul><li>십진법&#160;: 25 ÷ 64 = 0.390625 {십진법 390625 / 1000000 = 25 / 64}</li> <li>육진법&#160;: 41 ÷ 144 = 0.220213 {육진법 220213 / 1000000 = 십진법로 환산 해 18225 / 46656 = 25 / 64}</li></ul></li> <li>(5<sup>3</sup>×4) ÷ 3<sup>6</sup> (육진법 (5<sup>3</sup>×4) ÷ 3<sup>10</sup>) <ul><li>십진법&#160;: 500 ÷ 729 = 0.685871056241…</li> <li>육진법&#160;: 2152 ÷ 3213 = 0.404052 {육진법 404052 / 1000000 = 십진법로 환산 해 32000 / 46656 = 500 / 729 }</li></ul></li></ul> <table class="wikitable" style="text-align:left"> <caption>육진법 과 십진법의 <a href="/wiki/%EB%8B%A8%EC%9C%84_%EB%B6%84%EC%88%98" class="mw-redirect" title="단위 분수">단위 분수</a> </caption> <tbody><tr> <th><a href="/wiki/%EC%86%8C%EC%9D%B8%EC%88%98_%EB%B6%84%ED%95%B4" class="mw-redirect" title="소인수 분해">소인수 분해</a></th> <th>육진 <a href="/wiki/%EB%B6%84%EC%88%98" class="mw-disambig" title="분수">분수</a></th> <th>육진 소수</th> <th>십진 소수</th> <th>십진 분수 </th></tr> <tr> <td>2</td> <td>1/2</td> <td>0.3</td> <td>0.5</td> <td>1/2 </td></tr> <tr> <td>3</td> <td>1/3</td> <td>0.2</td> <td>0.<u>3</u>333…</td> <td>1/3 </td></tr> <tr> <td>2<sup>2</sup></td> <td>1/4</td> <td>0.13</td> <td>0.25</td> <td>1/4 </td></tr> <tr> <td>5</td> <td>1/5</td> <td>0.<u>1</u>111…</td> <td>0.2</td> <td>1/5 </td></tr> <tr> <td>2×3</td> <td>1/10</td> <td>0.1</td> <td>0.1<u>6</u>66…</td> <td>1/6 </td></tr> <tr> <td>11</td> <td>1/11</td> <td>0.<u>05</u>05…</td> <td>0.<u>142857</u>…</td> <td>1/7 </td></tr> <tr> <td>2<sup>3</sup></td> <td>1/12</td> <td>0.043</td> <td>0.125</td> <td>1/8 </td></tr> <tr> <td>3<sup>2</sup></td> <td>1/13</td> <td>0.04</td> <td>0.<u>1</u>111…</td> <td>1/9 </td></tr> <tr> <td>2×5</td> <td>1/14</td> <td>0.0<u>3</u>33…</td> <td>0.1</td> <td>1/10 </td></tr> <tr> <td>15</td> <td>1/15</td> <td>0.<u>0313452421</u>…</td> <td>0.<u>09</u>09…</td> <td>1/11 </td></tr> <tr> <td>2<sup>2</sup>×3</td> <td>1/20</td> <td>0.03</td> <td>0.08<u>3</u>33…</td> <td>1/12 </td></tr> <tr> <td>3×5</td> <td>1/23</td> <td>0.0<u>2</u>22…</td> <td>0.0<u>6</u>66…</td> <td>1/15 </td></tr> <tr> <td>2<sup>4</sup></td> <td>1/24</td> <td>0.0213</td> <td>0.0625</td> <td>1/16 </td></tr> <tr> <td>2×3<sup>2</sup></td> <td>1/30</td> <td>0.02</td> <td>0.0<u>5</u>55…</td> <td>1/18 </td></tr> <tr> <td>2<sup>2</sup>×5</td> <td>1/32</td> <td>0.01<u>4</u>44…</td> <td>0.05</td> <td>1/20 </td></tr> <tr> <td>2<sup>3</sup>×3</td> <td>1/40</td> <td>0.013</td> <td>0.041<u>6</u>66…</td> <td>1/24 </td></tr> <tr> <td>5<sup>2</sup></td> <td>1/41</td> <td>0.<u>01235</u>…</td> <td>0.04</td> <td>1/25 </td></tr> <tr> <td>3<sup>3</sup></td> <td>1/43</td> <td>0.012</td> <td>0.<u>037</u>…</td> <td>1/27 </td></tr> <tr> <td>2<sup>5</sup></td> <td>1/52</td> <td>0.01043</td> <td>0.03125</td> <td>1/32 </td></tr> <tr> <td>2<sup>2</sup>×3<sup>2</sup></td> <td>1/100</td> <td>0.01</td> <td>0.02<u>7</u>77…</td> <td>1/36 </td></tr> <tr> <td>2<sup>3</sup>×5</td> <td>1/104</td> <td>0.005<u>2</u>22…</td> <td>0.025</td> <td>1/40 </td></tr> <tr> <td>2<sup>4</sup>×3</td> <td>1/120</td> <td>0.0043</td> <td>0.0208<u>3</u>33…</td> <td>1/48 </td></tr> <tr> <td>2×5<sup>2</sup></td> <td>1/122</td> <td>0.0<u>04153</u>…</td> <td>0.02</td> <td>1/50 </td></tr> <tr> <td>2×3<sup>3</sup></td> <td>1/130</td> <td>0.004</td> <td>0.0<u>185</u>…</td> <td>1/54 </td></tr> <tr> <td>2<sup>10</sup></td> <td>1/144</td> <td>0.003213</td> <td>0.015625</td> <td>1/64 </td></tr> <tr> <td>2<sup>3</sup>×3<sup>2</sup></td> <td>1/200</td> <td>0.003</td> <td>0.013<u>8</u>88…</td> <td>1/72 </td></tr> <tr> <td>2<sup>4</sup>×5</td> <td>1/212</td> <td>0.0024<u>1</u>11…</td> <td>0.0125</td> <td>1/80 </td></tr> <tr> <td>3<sup>4</sup></td> <td>1/213</td> <td>0.0024</td> <td>0.<u>012345679</u>…</td> <td>1/81 </td></tr> <tr> <td>2<sup>5</sup>×3</td> <td>1/240</td> <td>0.00213</td> <td>0.01041<u>6</u>66…</td> <td>1/96 </td></tr> <tr> <td>2<sup>2</sup>×5<sup>2</sup></td> <td>1/244</td> <td>0.00<u>20543</u>…</td> <td>0.01</td> <td>1/100 </td></tr> <tr> <td>2<sup>2</sup>×3<sup>3</sup></td> <td>1/300</td> <td>0.002</td> <td>0.00<u>925</u>…</td> <td>1/108 </td></tr> <tr> <td>5<sup>3</sup></td> <td>1/325</td> <td>0.<u>0014211253224043351545031</u>…</td> <td>0.008</td> <td>1/125 </td></tr> <tr> <td>2<sup>11</sup></td> <td>1/332</td> <td>0.0014043</td> <td>0.0078125</td> <td>1/128 </td></tr> <tr> <td>2<sup>4</sup>×3<sup>2</sup></td> <td>1/400</td> <td>0.0013</td> <td>0.0069<u>4</u>44…</td> <td>1/144 </td></tr> <tr> <td>2<sup>5</sup>×5</td> <td>1/424</td> <td>0.00120<u>3</u>33…</td> <td>0.00625</td> <td>1/160 </td></tr> <tr> <td>2×3<sup>4</sup></td> <td>1/430</td> <td>0.0012</td> <td>0.0<u>061728395</u>…</td> <td>1/162 </td></tr> <tr> <td>2<sup>10</sup>×3</td> <td>1/520</td> <td>0.001043</td> <td>0.005208<u>3</u>33…</td> <td>1/192 </td></tr> <tr> <td>2<sup>3</sup>×5<sup>2</sup></td> <td>1/532</td> <td>0.001<u>02514</u>…</td> <td>0.005</td> <td>1/200 </td></tr> <tr> <td>2<sup>3</sup>×3<sup>3</sup></td> <td>1/1000</td> <td>0.001</td> <td>0.004<u>629</u>…</td> <td>1/216 </td></tr></tbody></table> <p>※ 소인수 분해는 육진수로 표기되어있다. </p> <div class="mw-heading mw-heading2"><h2 id="손가락으로_세는_방법"><span id=".EC.86.90.EA.B0.80.EB.9D.BD.EC.9C.BC.EB.A1.9C_.EC.84.B8.EB.8A.94_.EB.B0.A9.EB.B2.95"></span>손가락으로 세는 방법</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=7" title="부분 편집: 손가락으로 세는 방법"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r27642678/mw-parser-output/.tmulti">.mw-parser-output .tmulti .thumbinner{display:flex;flex-direction:column}.mw-parser-output .tmulti .trow{display:flex;flex-direction:row;clear:left;flex-wrap:wrap;width:100%;box-sizing:border-box}.mw-parser-output .tmulti .tsingle{margin:1px;float:left}.mw-parser-output .tmulti .theader{clear:both;font-weight:bold;text-align:center;align-self:center;background-color:transparent;width:100%}.mw-parser-output .tmulti .thumbcaption{background-color:transparent}.mw-parser-output .tmulti .text-align-left{text-align:left}.mw-parser-output .tmulti .text-align-right{text-align:right}.mw-parser-output .tmulti .text-align-center{text-align:center}@media all and (max-width:720px){.mw-parser-output .tmulti .thumbinner{width:100%!important;box-sizing:border-box;max-width:none!important;align-items:center}.mw-parser-output .tmulti .trow{justify-content:center}.mw-parser-output .tmulti .tsingle{float:none!important;max-width:100%!important;box-sizing:border-box}.mw-parser-output .tmulti .trow>.thumbcaption{text-align:center}}</style><div class="thumb tmulti tright"><div class="thumbinner" style="width:248px;max-width:248px"><div class="trow"><div class="tsingle" style="width:122px;max-width:122px"><div class="thumbimage"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Chinesische.Zahl.Vier.jpg" class="mw-file-description"><img alt="4" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5b/Chinesische.Zahl.Vier.jpg/120px-Chinesische.Zahl.Vier.jpg" decoding="async" width="120" height="121" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/5/5b/Chinesische.Zahl.Vier.jpg 1.5x" data-file-width="149" data-file-height="150" /></a></span></div></div><div class="tsingle" style="width:122px;max-width:122px"><div class="thumbimage"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Chinesische.Zahl.Drei.jpg" class="mw-file-description"><img alt="3" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Chinesische.Zahl.Drei.jpg/120px-Chinesische.Zahl.Drei.jpg" decoding="async" width="120" height="125" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/4/4b/Chinesische.Zahl.Drei.jpg 1.5x" data-file-width="144" data-file-height="150" /></a></span></div></div></div><div class="trow" style="display:flex"><div class="thumbcaption">육진법 43 = 십진법 <a href="/wiki/27" title="27">27</a></div></div></div></div> <p>육진법은 손가락으로 세는 방법이 쉽다. 주먹을 <a href="/wiki/0" title="0">0</a>로서 0에서 <a href="/wiki/5" title="5">5</a>까지의 6 개의 숫자를 한손으로 표현할 수 있기 때문이다. 2 자리로 계산하여 정수는 오른손을 "1의 자리수", 왼손을 "<b>6의 자리수</b>"로서 표시한다. 소수는 왼손으로 "1의 자리수"고 오른손으로 "6 분의 1의 자리수", 왼손으로 "6 분의 1의 자리수"라고 오른손으로 "36<sub>(10)</sub> 분의 1의 자리수"를 표현한다. </p><p>예를 들어, 왼손으로 "4"오른손으로 "3"이 표시되면 (1) 육진법 <b>43</b> = 십진법 <a href="/wiki/27" title="27">27</a> (<i>사<b>육</b>삼</i>, 4×6 + 3) , (2) 육진 소수 <b>4.3</b> = 4와 3/6 = 4와 1/2 , (3) 육진 소수 <b>0.43</b> = 십진법 27/36 = 3/4, 에 위치한 3 종류를 표현할 수 있다. </p><p>손가락으로 계산 <a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a>은 양손으로 십진법 10까지 = 육진법 14 (<i>육사</i>)까지 밖에 표현하지 못하고, 1.1 및 1.2 등 띠소수와 가분수도 표현할 수 없다. 그러나 손가락으로 계산 육진법은 6가 "10"이되므로 양손으로 십진법 <a href="/wiki/35" title="35">35</a>까지 = 육진법 55 (<i>오육오</i>)까지 표현할 수 있어, 1.1 (7/6) 및 1.2 (8/6 = 4/3) 등 띠 소수와 가분수도 표현할 수 있다. 더욱이 <a href="/wiki/10" title="10">십</a>은 <a href="/wiki/3" title="3">3</a>든지 <a href="/wiki/4" title="4">4</a>든지 분할 할 수 없지만, <a href="/wiki/6" title="6">육</a>은 3 분할 수 있고, 양손에 펼치면 분모를 <a href="/wiki/36" title="36">삼십육</a> (십진법 36 = 육진법 100)으로하고 4든지 <a href="/wiki/9" title="9">9</a> (육진법 13)든지 분할 할 수 있다. </p> <div class="mw-heading mw-heading2"><h2 id="소수_(수론)와_배수"><span id=".EC.86.8C.EC.88.98_.28.EC.88.98.EB.A1.A0.29.EC.99.80_.EB.B0.B0.EC.88.98"></span>소수 (수론)와 배수</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=8" title="부분 편집: 소수 (수론)와 배수"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a>과 육진법은 <a href="/wiki/3" title="3">3</a>과 <a href="/wiki/5" title="5">5</a>의 입장이 역전하기 때문에 육진법에서 11 (<a href="/wiki/7" title="7">칠</a>) 이후의 소수(수론)는 일의 자리가 1 또는 5 중 하나가된다. 일의 자리가 3이라면 3의 배수이며, 3 빼고 소수에 안된다. </p><p><a href="/wiki/%EB%B0%B0%EC%88%98" title="배수">배수</a> 판정도 십진법과 같은 방법으로 가능하며, 육진법에서는 3<sup>n</sup>와 3<sup>n</sup>×5가 판정 할 수 있다. 또한 십진법에서는 2<sup>n</sup>와 2<sup>n</sup>×5는 5<sup>n</sup> 종류에 증가 해 버리지 만, 육진법에서는 2<sup>n</sup>와 2<sup>n</sup>×5는 3<sup>n</sup> 종류로 족하다. </p> <dl><dt>한 자리</dt></dl> <ul><li>일의 자리가 <a href="/wiki/0" title="0">0</a> → 2와 3로 나누어 떨어지는 (<a href="/wiki/6" title="6">육</a>의 배수).</li> <li>일의 자리가 <a href="/wiki/2" title="2">2</a> 또는 <a href="/wiki/4" title="4">4</a> → 2로 나누어 떨어지는 있지만, 3으로 나뉘어 떨어지지 않는.</li> <li>일의 자리가 <a href="/wiki/3" title="3">3</a> → 2로 나뉘어 떨어지지 않는 않지만, 3로 나누어 떨어지는.</li> <li>일의 자리가 <a href="/wiki/1" title="1">1</a> 또는 <a href="/wiki/5" title="5">5</a> → 2라도 3라도 나누어 떨어지지 않다.</li></ul> <dl><dt>육진법의 <a href="/wiki/%EC%86%8C%EC%88%98_(%EC%88%98%EB%A1%A0)" title="소수 (수론)">소수 (수론)</a></dt></dl> <ul><li>100 (십진수 36)까지의 소수 <dl><dd>2, 3, 5, 11, 15, 21, 25, 31, 35, 45, 51</dd></dl></li> <li>101 (십진수 <a href="/wiki/37" title="37">37</a>)에서 1000 (십진수 <a href="/wiki/216" title="216">216</a>)까지의 소수 <dl><dd>101, 105, 111, 115, 125, 135, 141, 151, 155, 201, 211, 215, 225, 241, 245, 251, 255, 301, 305, 331, 335, 345, 351, 405, 411, 421, 431, 435, 445, 455, 501, 515, 521, 525, 531, 551 (<a href="/wiki/%EC%98%A8%EB%9D%BC%EC%9D%B8_%EC%A0%95%EC%88%98%EC%97%B4_%EC%82%AC%EC%A0%84" title="온라인 정수열 사전">OEIS</a>의 수열 <a href="//oeis.org/A004680" class="extiw" title="oeis:A004680">A004680</a>)</dd></dl></li></ul> <dl><dt>기본적인 배수 판정법</dt></dl> <ul><li>2의 배수 → 일의 자리가 2 또는 4 또는 0.</li> <li>3의 배수 → 일의 자리가 3 또는 0.</li> <li>4의 배수 → 아래 2 자리가 {04, 12, 20, 24, 32, 40, 44, 52, 00} 중 하나. (총 9 종류 = 3<sup>2</sup> 종류)</li> <li>5의 배수 → 각 자리 숫자의 합이 5의 배수.</li> <li>10 (6)의 배수 → 일의 자리가 0.</li> <li>13 (<a href="/wiki/9" title="9">9</a>)의 배수 → 아래 2 자리가 {13, 30, 43, 00} 중 하나. (총 4 종류 = 2<sup>2</sup> 종류)</li> <li>14 (십진수 <a href="/wiki/10" title="10">10</a>)의 배수 → 각 자리 숫자의 합이 5의 배수로, 한편 일의 자리가 2 또는 4 또는 0의 어떤 것인가.</li> <li>23 (십진수 <a href="/wiki/15" title="15">15</a>)의 배수 → 각 자리 숫자의 합이 5의 배수로, 한편 일의 자리가 3 또는 0의 어떤 것인가.</li> <li>100 (십진수 <a href="/wiki/36" title="36">36</a>)의 배수 → 아래 2 자리가 00.</li></ul> <dl><dt>그 외의 숫자의 배수 판정법</dt></dl> <ul><li>11 (<a href="/wiki/7" title="7">7</a>)의 배수 → 2 자리 렙 디지트.</li> <li>12 (<a href="/wiki/8" title="8">8</a>)의 배수 → 아래 3 자리가 12의 배수 {012, 024, 040 … 532, 544, 000}. (총 43<sub>(6)</sub> 종류 = 3<sup>3</sup> 종류)</li> <li>20 (십진수 <a href="/wiki/12" title="12">12</a>)의 배수 → 아래 2 자리가 20 또는 40 또는 00의 어떤 것인가.</li> <li>30 (십진수 <a href="/wiki/18" title="18">18</a>)의 배수 → 아래 2 자리가 30 또는 00의 어떤 것인가.</li> <li>32 (십진수 <a href="/wiki/20" title="20">20</a>)의 배수 → 각 자리 숫자의 합이 5의 배수로, 한편 아래 2 자리가 {04, 12, 20, 24, 32, 40, 44, 52, 00} 중 하나.</li> <li>41 (십진수 <a href="/wiki/25" title="25">25</a>)의 배수 → 일의 자리 이외의 수에서 일의 자리의 4 배를 뺀 다음, 그 차이를 41로 나눈 나머지가 0.</li> <li>43 (십진수 <a href="/wiki/27" title="27">27</a>)의 배수 → 아래 3 자리가 {043, 130, 213, 300, 343, 430, 513, 000} 중 하나. (총 8 종류 = 2<sup>3</sup> 종류)</li> <li>50 (십진수 <a href="/wiki/30" title="30">30</a>)의 배수 → 각 자리 숫자의 합이 5의 배수로, 한편 일의 자리가 0.</li> <li>140 (십진수 <a href="/wiki/60" title="60">60</a>)의 배수 → 각 자리 숫자의 합이 5의 배수로, 한편 아래 2 자리가 20 또는 40 또는 00의 어떤 것인가.</li></ul> <div class="mw-heading mw-heading2"><h2 id="같이_보기"><span id=".EA.B0.99.EC.9D.B4_.EB.B3.B4.EA.B8.B0"></span>같이 보기</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9C%A1%EC%A7%84%EB%B2%95&amp;action=edit&amp;section=9" title="부분 편집: 같이 보기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%EC%98%A4%EC%A7%84%EB%B2%95" title="오진법">오진법</a> (5가 10)</li> <li><a href="/wiki/%EA%B5%AC%EC%A7%84%EB%B2%95" title="구진법">구진법</a> (3<sup>2</sup> = 10. 2<sup>-n</sup>의 순환 절이 최단)</li> <li><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> (5+5 = 10. 3<sup>-n</sup>의 순환 절이 최단)</li></ul> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐7b9f8c9d65‐rx9zf Cached time: 20241108013703 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.293 seconds Real time usage: 0.406 seconds Preprocessor visited node count: 730/1000000 Post‐expand include size: 4903/2097152 bytes Template argument size: 14/2097152 bytes Highest expansion depth: 4/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 6306/5000000 bytes Lua time usage: 0.092/10.000 seconds Lua memory usage: 741017/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 301.590 1 -total 56.08% 169.121 1 틀:위키데이터_속성_추적 35.18% 106.112 1 틀:기수법 33.92% 102.291 1 틀:Sidebar 6.28% 18.942 1 틀:Multiple_image 1.42% 4.281 1 틀:Clear 0.77% 2.308 1 틀:OEIS --> <!-- Saved in parser cache with key kowiki:pcache:idhash:903434-0!canonical and timestamp 20241108013703 and revision id 37751664. 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