Question

Prove that the product of any three consecutive positiveintegersis divisible by 6

Answer 1

Hey

Assume that their is a number N !

Then, either 'N' or 'N+1' or 'N+2' is divisible by 3

Now, either of the three is going to be an even number, i.e. divisible by 2

Hence, the Product of the Three is divisible by 6