Question

the product of three consecutive positive integer is divisible by 6 is the statement true or false? Justify your answer

Answer 1

true

$1 \times 2 \times 3$

Answer 2

product of three consecutive integers is divisible by 6 this is based on a theorem
the theorem states that product of N consecutive integers is divisible by n factorial so the product of three consecutive integers will be divisible by 3 factorial which is equal to 6