Question

The product of three consecutive positive integers is divisible by 6'. Is this statement true or false ? Justify your answer.

Answer 1

Yes this is true.
As
One number out of two consecutive integers is divisible by 2. One number out of three consecutive integers is divisible by 3. Hence the product of 3 consecutive integers is divisible by both 2 and 3 and so also divisible by 6.

Answer 2

Answer:

let the integer be=x,x+1,x+2

x(x+1)(x+2)=6

x(x+1)(x+2)=1×2×3

compare x=1,x+1=2

so numbers are 1,2,3

hence given statement is true

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