this post was submitted on 08 Jan 2025
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[–] GrammarPolice@lemmy.world 13 points 2 months ago (11 children)

Is this a real divisibility rule?

[–] testfactor@lemmy.world 37 points 2 months ago (7 children)

Yep. If the sun of the numbers is divisible by 3, the number is divisible by three.

Works great for 6 too, as if it's divisible by 3 and even, the number is divisible by 6.

And 9 is the same thing, but the sum has to be divisible by 9 (e.g. 12384 is divisible by 9 because the sum of the digits is 18, which is divisible by 9)

There's also good rules for 4 and 8 as well. If the last 2 digits are divisible by 4, the whole number is (e.g. 127924 is divisible by 4 because 24 is) and if the last 3 numbers are divisible by 8, the whole number is (e.g. 12709832 is divisible by 8 because 832 is.)

[–] brian@lemmy.ca 8 points 2 months ago (1 children)

You just casually dropping in that 832 is divisible by 8 makes me feel as if there's a small gap in our abilities to do mental math

[–] sudo 9 points 2 months ago

832 is 800 + 32

800 is obviously divisible by 8, so it can also be negated like the first few digits. 32 is also divisible by 8.

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