Question

the product of three consecutive number is always divisible by 6 verify this statement with the help of some example​

Answer 1

Your Answer:

Verifying the statement by examples

Let the three consecutive numbers be 1,2,3

So,

product of their number is

$\tt 1 \times 2\times 3=6$

And the product of 1,2,3(6) is divisible by 6.

6/6=1

Verifying the statement with another example

Let three consecutive numbers be 4,5,6

So,

product of their numbers is

$\tt 4 \times 5\times 6=120$

And the product of 4,5,6(120) is divisible by 6.

120/6=20

Answer 2

Answer:

The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples. Answer: Among the three consecutive numbers, there must be one even number and one multiple of 3. Thus, the product must be multiple of 6.

Step-by-step explanation: