Question

the product of three consuecutive number is always divisible by 6 ?

Answer 1

Yes... For e. g. 2*3*4=24 Hope it helps

Answer 2

One number out of two consecutiveintegers is divisible by 2. One number out of three consecutive integers isdivisible by 3. Hence the product of 3 consecutive integers is divisible by both 2 and 3 and so also divisible by 6. Explanation: Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4is equal to 72.