Question

The product of any three consecutive numbers is always divisible by 6. Justify this statement with an example

Answer 1

Yes.

Because one of every two consecutive integers is even and so the product of three consecutive integers is even and divisible by 2.

Also one of every 3 consecutive integers is divisible by 3.

Product of any three consecutive integers is divisible by 6.

Example: 5 × 6 × 7

Answer 2

2 × 3 × 4 = 24, which is divisible by 6

9 × 10 × 11 = 990, which is divisible by 6

20 × 21 × 22 = 9240, which is divisible by 6.