If p and q are prime numbers, how many divisors does the product p^3*q^6 have? Choose the correct choice from the following answers.
A) 9 B) 12 C) 18 D) 28 E) 363
, p^2, p^3 and q, q^1, q^2.... q^6 together   Essentially there are 18 different combinations you can make (3x6)   Also you have to include the different combinations the p and q exponents can be a divisor. There are 3 different p exponents and 6 different q exponents: p, p^2, p^3, q, q^2, q^3... q^6   Also add 1 since "1" can also be a divisor.   18+3+6+1= 
<gadget id="calculator">18+3+6+1</gadget>
<output>28</output>
28 , ANSWER:28
<result>D</result>
If p and q are prime numbers, how many divisors does the product p^3*q^6 have?