Question

If n is an even natural number, then the largest natural number by which n(n + 1) (n + 2) is divisible, is (a) 6 (b) 8 (c) 12 (d) 24​

Answer 1

Answer:

So Pn is divisible by 3. So Pn=Pm is divisible by 8×3=24. So the largest natural number that exactly divides n(n+1)(n+2) is 24 and the correct option is D.