Web Reference: That sum 33 is divisible by three and so is the original number 289752. This is not the case when dividing by 2, for example 12 is divisible by two but when its digits are summed (1+2=3) you receive 3 which is NOT divisible by 2. I have yet to be able to find a counter example for this phenomenon of division by 3. Why does this happen? Aug 19, 2011 · "What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?" Is it different from divisible? Sep 30, 2015 · Every term on the right other than the sum of the digits is divisible by $3$. So the remainder when dividing the original number by $3$ and the sum of the digits by $3$ must be the same.
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