Question

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

Answer 1

Let, three consecutive no. be x,x+1,x+2. If we put a no. at the place of x then the product of these numbers is completely divisible by 6.Take an example ,Let x=7 then x+1 and x+2 equal to 8 and 9 respectively . Now 7*8*9=504 and504÷6= 84.