What is the minimum value of the positive integer n?

(1) 1250 × 2 × 3 × 5 × n is a perfect square.
(2) n! has only two zeroes as last digits.

(A) Statement (1) alone is sufficient, but statement (2) is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) is not sufficient.
(C) Statements (1) and (2) together are sufficient to answer the question.
(D) Either statement alone is sufficient to answer the question.
(E) Statements (1) and (2) taken together are NOT sufficient to answer the question