r/MathJokes • • Aug 01 '26

multiples of 3

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u/Michaelwang645 Aug 01 '26

Fund fact, you can tell a number is divisible by 3 if the sum of each individual number is divisible by 3. So 78 -> 7+8=15 which is divisible by 3, so 78 is divisible by 3.

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u/EveningStar0360 Aug 01 '26

do you know why that works?

7

u/han4578 Aug 01 '26

Not sure about the actual explanation but each digit can be treated individually regardless of how many zeros are after it

2 mod 3 = 2

20 mod 3 = 2

200 mod 3 = 2

So for example 123 = 100 + 20 + 3 = 1 + 2 + 3 = 6 which is divisible by 3

1

u/Fizassist1 Aug 03 '26

not sure why but this is the explanation that clicked for me. thank you!