Question

The product of two consecutive positive integers is divisible by 2: Is this statement true or false? Give reasons.

Answer 1

The statement is true.
Two consecutive integers can be n and (n + 1).
One of these two must be divisible by 2.
Hence, their product is divisible by 2.

Example : Let the two consecutive positive integers are $2,3.$

Product of $2,3=2\times 3=6$

So, $6$ is divisible by $2.$