Question

If n is a natural number, than which of the following numbers ends with 0 example:(3*2)n,(5*2)n,(6*2)n,(4*2)n​

Answer 1

Answer:

Out of n and n+2, one is divisible by 2 and the other by 4, hence n(n+2) is divisible by 8.

Also n,n+1,n+2 are three consecutive numbers, hence one of them is divisible by 3.

Hence, n(n+1)(n+2) must be divisible by 24. This will be true for any even number n