Question

Prove that the product of two consecutive positive integers is divisible by 2.
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Answer 1

Answer:

Yes.

Explanation:

Let n be the number

Let the integers be n and n+1

We have either n is even, or n is odd

If n is even, we have n+1 is odd.

Now, we know that if c divides a, then c divides ab.

Since 2 divides n, we have 2 divides n(n+1).

Hence n(n+1) is divisible.