Question

The product of three consecutive numbers is always divisible by 6.Explain this statement with the help of two examples.​

Answer 1

Yes.

Step-by-step explanation:

For eg:-

1) Suppose you take three number: 6,7,8

the product is 6×7=42; 42×8=336

so try to divide 336√6 =56-Answer

It is coming in Whole number and is divisible

2) Suppose one more set you take like :9,10,11

The product of the number is 9×10=90; 90×11=990.

so try to divide 990√6=165-Answer.

It is coming in Whole number and is divisible by 6.

So all these examples makes it clear that the product of 3 consecutive number is always divisible by 6.