X, Y, and Z are different prime numbers. The product X^3*Y^2*Z^2 is divisible by how many different positive numbers? Choose the most appropriate option.
A) 24	B) 36	C) 48	D) 60	E) 72
The exponents of X^3*Y^2*Z^2 are 3, 2, and 2.   The number of factors is (3+1)(2+1)(2+1) = 36   The answer is 36.
<result>B</result>
X, Y, and Z are different prime numbers. The product X^3*Y^2*Z^2 is divisible by how many different positive numbers?