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) 36
Lets take an example: find the number of factors of 100   try to represent 100 in least possible prime numbers   100= 2^2 * 5^2=p^a*q^b   no of factors is given by the formula (a+1)* (b+1)=(2+1)(2+1)=9   similarly find the number of factors of p^3 * q^6---&gt;a=3,b=6   (3+1)(6+1)=28 Ans 28.
<result>D</result>
If p and q are prime numbers, how many divisors does the product p^3 * q^6 have?