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Het herkennen van priemgetallen en samengestelde getallen (video) | Image & Innovation

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[close]</h1> <div class="post-meta"> <div class="post-author"> <span>posted by: </span><a href="https://imagexinnovation.com/nl/author/admin/" title="Berichten van admin" rel="author">admin</a> </div> <div class="date-post"> <i class="far fa-clock"></i>november 28, 2020 </div> </div> </div> <div class="post-info"> <div class="post-content"> <p>bepaal of de volgende nummers priem, samengesteld of geen van beide zijn. Een priemgetal is een natuurlijk getal&#8211; dus een van de telnummers, 1, 2, 3, 4, 5, 6, enzovoort, enzovoort &#8212; dat heeft precies twee factoren. Dus zijn de factoren 1 en zichzelf. Dus een voorbeeld van aprime factor is 3. Er zijn maar twee natuurlijke getallen die deelbaar zijn in 3 &#8212; 1 en 3. Of een andere manier om erover te denken is, de enige manier om 3 te krijgen als een product van andere natuurlijke getallen is 1 keer 3., Dus het heeft maar 1 en zichzelf. Een samengesteld getal is een natuurlijk getal dat meer dan just1 en zichzelf als factoren heeft. We zullen daar voorbeelden van zien en geen van beide&#8211; we zullen daar een interessant geval van zien in dit probleem. Laten we eerst denken aan 24. Dus laten we denken aan alle &#8212; Ik denk dat je het zou kunnen zien als de natuurlijke getallen of de gehele getallen, hoewel 0 ook is opgenomen in hele getallen. Laten we denken aan alle natuurlijke telgetallen die we daadwerkelijk kunnen verdelen in 24 zonder enige rest. Dat zijn de factoren. Het is duidelijk deelbaar door 1 en 24., In feite is 1 keer24 gelijk aan 24. Maar het is ook deelbaar door 2. 2 keer 12 is 24. Dus het is ook deelbaar door 12. En het is ook deelbaar door 3. 3 keer 8 is ook gelijk aan 24. Zelfs op dit punt hoeven we niet alle factoren te vinden om te beseffen dat het geen priemgetal is. Het heeft duidelijk meer factoren dan alleen 1 en zichzelf. Dus dan is het duidelijk samengesteld. Dit wordt samengesteld. Nu, laten we het gewoon afrekenen sinds we begonnen zijn. Het is ook deelbaar door 4. En 4 keer 6 &#8212; had net genoeg ruimte om dat te doen. 4 keer 6 is ook 24., Dit zijn alle factoren van 24, duidelijk meer dan één en 24. Laten we nu nadenken over 2. Nou, de niet-nul hele getallen die deelbaar zijn in 2, nou ja, 1 keer 2 werkt definitief, 1 en 2. Maar er zijn echt geen anderen die deelbaar zijn in 2. En dus heeft het maar twee factoren, 1 en zichzelf, en dat is de definitievan een priemgetal. Dus 2 is priemgetal. En 2 is interessant omdat het het enige even priemgetal is. En dat word je misschien wel. Omdat een even getal per definitie deelbaar is door 2. Dus 2 is duidelijk deelbaar door 2. Dat maakt het gelijk., Maar het is alleen deelbaar door 2 en 1. Dus dat is wat het prime maakt. Maar alles wat elsethat is zal deelbaar zijn door 1, zichzelf, en 2. Elk ander getal dat even is, zal deelbaar zijn door 1, zichzelf en 2. Dus per definitie heeft het 1 en zichzelf en iets anders. Dus het wordt samengesteld. Dus 2 is priemgetal. Elk ander even getal anders dan 2 is samengesteld. Dit is een interessante zaak. 1 &#8212; 1 is alleen deelbaar door 1. Dus het is geen priemgetal,technisch gezien, omdat het slechts 1 als factor heeft. Het heeft geen twee factoren. 1 is zichzelf., Maar om prime te zijn, moet je precies twee factoren hebben. 1 heeft slechts één factor. Om composiet te zijn, moet je meer dan twee factoren hebben. Je moet 1 hebben, jezelf, en een aantal andere dingen. Dus het is geen composiet. Dus 1 is niet herprime noch composiet. En dan komen we uiteindelijk bij 17. 17 is deelbaar door 1 en 17. Het is niet deelbaar door 2, niet deelbaar door 3, 4, 5, 6. 7, 8, 9 10, 11, 12,13, 14, 15, of 16. Dus het heeft precies twee factoren &#8212; 1 en zichzelf. 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