If n is an even natural number, then the largest number by which n(n + 1)(n + 2) is divisible is
a)24 ; b)6 ; c)12 ; d)9
Hi!
Here is the answer to your question.
n, n + 1 and n + 2 are three consecutive positive integers.
When n = 2,
n (n + 1) (n + 2) = 2 (2 + 1)(2 + 2) = 2 × 3 × 4 = 24.
Thus, n (n + 1) (n + 2) is divisible by 24.
Note: The product of three consecutive natural numbers, n (n + 1) (n + 2) is divisible by 6.
Cheers!