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

The statement "The product of two consecutive positive integers is divisible by 2" is true.

Here's why:

Consecutive integers are numbers that follow each other in order. For example, 1, 2, 3, and so on, are consecutive integers.

In every pair of two consecutive integers, one of them is always even and the other is odd. This is because even and odd numbers alternate in the number system.

An even number is always divisible by 2. This is by definition of an even number.

Therefore, when you multiply an even number (which is one of the two consecutive integers) by any other number (in this case, the other consecutive integer), the product is also divisible by 2.

So, the product of two consecutive positive integers is always divisible by 2, making the statement true.