if p is a positive integer greater than 8, which of the following must be divisible by 4?  Choose the correct choice from the following answers
A) p(p-1)(p+2)(p+3)	B) p(p-1)(p+3)(p+4)	C) p(p-3)(p+2)(p+4)	D) p(p-3)(p+2)(p+3)	E) p(p+1)(p+3)(p+4)
D.   For any integer p, D is the only answer choice which will always be divisible by 4.   A product of 4 consecutive integers will always be divisible by 4. Since, none of the answer choices are a product of 4 consecutive integers, we have to ensure at least one of the integers is always a multiple of 4. The best way to do that is to ensure the answer choice isp* [(p-1)OR(p+3)] * [(p-2)OR(p+2)] * [(p-3)OR(p+1)]. (answer p(p-3)(p+2)(p+3))
<result>D</result>
if p is a positive integer greater than 8, which of the following must be divisible by 4?