X, Y, and Z are different prime numbers. The product X^2*Y^2*Z is divisible by how many different positive numbers?	Choose the most appropriate option.
A) 6	B) 8	C) 12	D) 18	E) 24
The exponents of X^2*Y^2*Z are 2, 2, and 1.   The number of factors is (2+1)(2+1)(1+1) = 18   The answer is 18.
<result>D</result>
X, Y, and Z are different prime numbers. The product X^2*Y^2*Z is divisible by how many different positive numbers?