Question

Prove that the product of three consecutive positive integers is divisible by 6.​

Answer 1

Step-by-step explanation:

when a number is divided by 3, the remainder obtained is 0 or 1 or 2. so, we can say that one of the numbers n, n + 1 and n + 2 is always divisible by 3. n (n + 1) (n + 2) is divisible by 3. ... n (n + 1) (n + 2) is divisible by 6.