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

3
4
6
7
Explanation:

Let the two consecutive even integers be 2$n $ and $\left(2 n + 2\right) $. Then,

$\left(2n + 2\right)$2 = $\left(2 n + 2 + 2 n\right )$$\left(2 n + 2 - 2 n \right)$

     = 2$\left(4 n + 2\right) $

     = 4$\left(2 n + 1\right)$, which is divisible by 4.

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