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In response to "I was today years old when I realized that any number (unless a multiple of 7) divided by seven results in the same digit pattern" by znufrii

If the sum of the digits of a number is wholly divisible by 3, then that number is wholly divisible by 3.

12 is 1+2 = 3, which divides by 3
81 is 8+1 = 9, which divides by 3
921 is 9+2+1 = 12, which is 1+2 = 3, which divides by 3


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