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\(X\) is the largest prime number less than positive integer \(N.\) \(P\) is an integer such that \(P = X - 16.\) Also, \(Z = 1\cdot 2\cdots \sqrt{P}.\) If \(N\) is the first non-zero perfect square whose tens digit and units digit are same, How many different prime factors does \(Z\) have?
A. 4
B. 5
C. 6
D. 160
E. 320
Answer: A
Source: e-GMAT
A. 4
B. 5
C. 6
D. 160
E. 320
Answer: A
Source: e-GMAT
