![]() The copy-paste of the page "Divisors of a Number" or any of its results, is allowed as long as you cite dCode!Ĭite as source (bibliography): Divisors of a Number on dCode. Except explicit open source licence (indicated Creative Commons / free), the "Divisors of a Number" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Divisors of a Number" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Divisors of a Number" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app! Ask a new question Source codeĭCode retains ownership of the "Divisors of a Number" source code. Criterion of divisibility by $ 10 $: any number multiple of $ 10 $ has as last digit $ 0 $.Įxample: 2,4,10 has 20 for PPCM and thus 2, 4 and 10 are divisors of 20. Criterion of divisibility by $ 9 $: any number which is multiple of $ 9 $ has as its sum a number which is also a multiple of $ 9 $, and therefore the digital root of the number is $ 9 $. Criterion of divisibility by $ 8 $: any number which is multiple of $ 8 $ has for the sum of the units digit, the double of the tens digit and the quadruple of the hundreds digit a number also divisible by 8. Criterion of divisibility by $ 7 $: any number multiple of $ 7 $ has a sum of its total number of tens (all digits except the last) and of five times its units digit also divisible by 7 (criterion to be repeated in loop) Criterion of divisibility by $ 6 $: any number multiple of $ 6 $ validates the criteria of divisibility by $ 2 $ and by $ 3 $ Criterion of divisibility by $ 5 $: any number multiple of $ 5 $ has for digit of the units $ 0 $ or $ 5 $ (Variant) the last 2 digits (tens and ones) of any number multiple of $ 4 $ are divisible by $ 4 $ (so by $ 2 $ then again by $ 2 $) For 3136: Continue the process for another round. Youll place this remainder beside your whole number answer. When you’ve finished this problem, take note that there is a remainder (that is, a number left over at the end of your calculating). Criterion of divisibility by $ 4 $: any number multiple of $ 4 $ has as the sum of the units digit and the double of the tens digit a number also divisible by 4. Do another round of long division and get the remainder (sample problem 2). Criterion of divisibility by $ 3 $: any number multiple of $ 3 $ has for sum of digits a number which is also multiple of $ 3 $, and therefore the digital root of the number is $ 0 $ or $ 3 $ or $ 6 $ or $ 9 $ Criterion of divisibility by $ 2 $: any number multiple of $ 2 $ has an even digit for the units digit, so the last digit is either $ 0 $ or $ 2 $ or $ 4 $ or $ 6 $ or $ 8 $. Criterion of divisibility by $ 1 $: any integer number is divisible by $ 1 $ Here is a (non-exhaustive) list of the main divisibility criteria (in base 10): The divisibility criteria are a roundabout way to know if a number is divisible by another without directly doing the calculation. Another?: use the form on top of this page to get the list of divisors of any other number.
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