## Product of three consecutive integers is divisible by 6 [Proof]

The product of three consecutive integers is divisible by 6. That is, for an integer n, the product n(n+1)(n+1) is always divisible by 6. Prove that the Product of 3 consecutive integers is divisible by 6 By division algorithm, every integer when divided by 3 leaves the remainder 0, 1, or 2. So an integer … Read more