If p and q are prime numbers, how many divisors does the product p^2 * q^5 have? Answers.
A) 8
B) 10
C) 12
D) 15
E) 18

Rationale: "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 e . 3 * 6 = 18"
Answer: E