The difference of the squares of two consecutive even integers is divisible by which of the following integers ?

3

4

6

7

Let the two consecutive even integers be 2n and (2n + 2). Then, (2n + 2)2 -(2n)2 = (2n + 2 + 2n)(2n + 2 - 2n) = 2(4n + 2) = 4(2n + 1), which is divisible by 4.

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