Question

prove that the product of three consecutive positive integers is divisible by 6.

Answer 1

Let the integers be n, n+1,n+2

Let n=1
=n×(n+1)×(n+2)
=1×(1+1)×(1+2)
=1×2×3
=6
It is divisible by 6

U can verify this using any value for n... answer will be divisible by 6

Answer 2

Hi,

Here is your answer

Let the three positive consecutive integers are 1, 2, 3.
The product of these numbers = 1*2*3 = 6
6 is divisible by 6 ⇒ 6/6 = 1

Hence it is proved.

Hope it helps you.