X, Y, and Z are different prime numbers. The product X^2*Y^2*Z^2 is divisible by how many different positive numbers?  Choose the correct choice from the following options:	A) 9	B) 18	C) 27	D) 36	E) 45
The exponents of X^2*Y^2*Z^2 are 2, 2, and 2.   The number of factors is (2+1)(2+1)(2+1) = 27   The answer is 27.
<result>C</result>
X, Y, and Z are different prime numbers. The product X^2*Y^2*Z^2 is divisible by how many different positive numbers?