The difference of the squares of two consecutive even integers is divisible by which of the following numbers?  Choose the correct choice from the following options:
A) 4
B) 3
C) 7
D) 6
E) 9
Let the consecutive even integers are n and (n + 2)   difference of the squares = (n + 2)^2 - n^2 = (n^2 + 4n + 4) - n^2 = 4n + 4 = 4(n + 1)   which is divisible by 4   4nswer is 4
<result>A</result>
The difference of the squares of two consecutive even integers is divisible by which of the following numbers?