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GMAT - Problem Solving - Prime numbers

If n is a prime number greater than 3, what is the remainder when n^2 is divided by 12 ?

If n is a prime number greater than 3, what is the remainder when n^2 is divided by 12 ?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 5

n is prime number greater than 3

n : {5, 7, 11, 13, 17, 19, 21, . . .}

n2 : {25, 49, 121, 169, . . .}

n2/12 : {1, 1, 1, . . .}

only possible value of n2/12 is 1