Question

show that the product of three concicutive natural numbers is divisible by 6

Answer 1

Answer:

Step-by-step explanation:

Let three consecutive positive integers be, n, n + 1 and n + 2. When a number is divided by 3, the remainder obtained is either 0 or 1 or 2. ∴ n = 3p or 3p + 1 or 3p + 2, where p is some integer. If n = 3p, then n is divisible by 3.

Answer 2

Take any three consecutive natural mumbers.

Multiply them and find the product.

You will observe that the product is divisible by 6.