Question

prove that product of three consecutive positive integer is divisible by 6

Answer 1

Let three consecutive positive integers be, n, n + 1 and n + 2. When a number is divided by 3, the remainder obtained is either 0 or 1 or 2.

Answer 2

1×2×3=6
4×5×6=120
7×8×9=504
these all numbers are divided by 6