The difference of the squares of two consecutive even integers is divisible by which of the following integers ? Choices:
A) 3
B) 4
C) 6
D) 7
E) 9
Let the two consecutive even integers be 2n and (2n + 2). Then,   (2n + 2)2 = (2n + 2 + 2n)(2n + 2 - 2n)   = 2(4n + 2)   = 4(2n + 1), which is divisible by 4.   ANSWER 4
<result>B</result>
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?