The difference of the squares of two consecutive odd integers is divisible by which of the following integers ? Choose the correct answer
A) 4
B) 6
C) 2
D) 8
E) 0
Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then,   (2n + 3)^2 - (2n + 1)^2 = (2n + 3 + 2n + 1) (2n + 3 - 2n - 1)   = (4n + 4) x 2   = 8(n + 1), which is divisible by 8.   ANSWER 8
<result>D</result>
The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?