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## Homework Statement

Prove that, for any integer a, 6 divides a(a+1)(2a+1)

## The Attempt at a Solution

Well, 6 divides something if 2 and 3 divide the same number, so I must show that that product is even, and that the sum of its digits is divisible by 3. However, I don't see any algebraic manipulation to do either.

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