Answer : Option 4
Since , \(n\) is divisible by 2 , therefore \((n + 2 )\) is divisible by 4 , and hence \( n ( n + 2 )\) is divisible by 8
Also \( n , n + 1 , n + 2\) are three consecutive numbers and one of them is divisible by 3
hence , \( n(n + 1)(n + 2)\) must be divisible by 24