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If we take two consecutive numbers then one of them is always even and other is odd.

And product of an even and an odd number is always even.

Reason:

Let us say the even number be m and the odd number be n.

The even number m can be expressed as 2 x p, where p is some natural number.

Now, a thing to remember!

"For two natural numbers q and r, q is divisible by r if we can express q as r x s where s is some natural number."

Product of m and n = m x n = 2 x p x n.

It can be seen that the result is divisible by 2. And if a product is divisible by 2 then it means the product is even.

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Q: How would you explain that the product of any two consecutive number is even?
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