If A is a positive integer, which of the following must be divisible by 6?
Pick one
A) A(A^2−2)  B) A^2*(A−5)  C) A(A+2)^3  D) A^2*(A−5)  E) (A−1)*A*(A+1)
option E) (A−1)*A*(A+1) which represents the product of three consecutive integers   the product of 3 consecutive integers is divisible by both 2 and 3 and so also divisible by 6.   Answer is (A−1)*A*(A+1)
<result>E</result>
If A is a positive integer, which of the following must be divisible by 6?