For prime numbers \(x\) and \(y,\) \(x^3\cdot y^5=z^4.\) How many positive factors does positive integer \(z\) have?

[M7MBA]

For prime numbers \(x\) and \(y,\) \(x^3\cdot y^5=z^4.\) How many positive factors does positive integer \(z\) have?

A. One
B. Two
C. Three
D. Four
E. Five

Answer: C

Source: GMAT Club Tests