X, Y, and Z are different prime numbers. The product X^2*Y*Z is divisible by how many different positive numbers?  Options:
A) 4  B) 6  C) 8  D) 9  E) 12
The exponents of X^2*Y*Z are 2, 1, and 1.   The number of factors is (2+1)(1+1)(1+1) = 12   The answer is 12.
<result>E</result>
X, Y, and Z are different prime numbers. The product X^2*Y*Z is divisible by how many different positive numbers?