The product of any three consecutive natural numbers is divisible by 6 (True/False).

Question

Philoid · Accepted Answer

True

Since n(n + 1)(n + 2) is divisible by 2 and 3, then it is divisible by 6.

Example: Let us take three consecutive numbers 10, 11, 12.

Product = 10 × 11 × 12 = 1320

∴ 1320 is divisible by 6.