If p and q are prime numbers, how many divisors does the product p^3 * q^7 have? Choose the correct choice from the following options:
A) 25 B) 30 C) 32 D) 35 E) 40
when a number N=a^x*b^y, where a and b are prime numbers, and x, y are positive integers, the number of divisors of N=(x+1)(y+1)   Therefore, the answer is C. 4*8=32
<result>C</result>
If p and q are prime numbers, how many divisors does the product p^3 * q^7 have?