The product of three consecutive positive integers is divisible by 6; Is this statement true or false? Justify your answer.

Question

Philoid · Accepted Answer

True

Let the consecutive positive integers be n, (n + 1) and (n + 2).

One number of these three must be even i.e. divisible by 2. Hence, product of numbers is divisible by 2 and another one must be divisible by 3. Hence, product of numbers is divisible by 6