Question

"The product of three Consecutive positive The

integers is divisible by 6". Is this statement true

or false ? Give reasons.​

Answer 1

Answer:

The statement is true that the product of any three consecutive positive numbers can be divisible by 6.

Solution:

Let us take any 3 consecutive integers, say 3,4,5.

Product of 3,4,5 = 3 × 4 × 5 = 60, which is divisible by six

( $\frac{60}{6} = 10$)

Taking another set of 3 consecutive integers, say 13, 14, 15

Product of 13, 14, 15 = 13 × 14 × 15 = 2730, which is divisible by six

($\frac{2730}{6} = 433$)

Thus, it can be observed that any 3 consecutive numbers chosen randomly has 1 or more even numbers (i.e. divisible by 2) and has 1 or more numbers that is divisible by three . This collectively leads to the product of the three consecutive integers to be divisible by six as (2 × 3 = 6).

Hope This Helps

Answer 2

Answer:

It is the correct answer.

Step-by-step explanation:

Hope this attachment helps you.