Question

Question 7

The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.

Answer 1

Among the three consecutive numbers, there must be one even number and one multiple of 3.
As 6 = 2 x 3, thus the product must be multiple of 6.
Example: (i) $2\times 3\times 4=24$
(ii) $4\times 5\times 6=120$