Question

find the whether the product of three consecutive numbers is divisible by 6.give reason.​

Answer 1

Answer:

Prove that the product of 3 consecutive positive integers is divisible by 6. Answer: ... If n = 3p + 2, ⇒ n + 1 = 3p + 2 + 1 = 3p + 3 = 3(p + 1) is divisible by 3. So, we can say that one of the numbers among n, n + 1 and n + 2 is always divisible by 3.