Question

Question 3
The product of three consecutive positive integers is divisible by 6: Is this statement true or false? Justify your answer.

Answer 1

The statement is true.
Three consecutive integers can be n, (n + 1) and (n + 2).
So, one number of these three must be divisible by 2 and another one must be divisible by 3.
Hence, product of these numbers is divisible by 6.