Question

If n is even number,then the largest natural number by which n(n+1)(n+2) is divisible is
a.6, b.8, c .12,d.24
Give me answer with full explanation neither I report your answer​

Answer 1

Step-by-step explanation:

(d) 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 . )