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

Explanation

Let first integer is `2m` and second integer is `2m+1`.

Then, their product ` = 2m(2m+1) = 2(2m^2+m)`

It means product of two consecutive integers is a multiple of `2` and thus, divisible by `2`.

Also, out of two consecutive integers, one is even. It means, their product will be divisible by `2`.