For prime numbers x and y, x^3*y^5=z^4. How many positive factors does positive integer z have?	Choose the most appropriate option: A) One B) Two C) Three D) Four E) Five
Solution: given x^3*y^5=z^4; here if x and y are two different prime numbers then z = x^3/4 * y^5/4   in this case z can not be and integer.   now to make z = (x^3*y^5)^1/4 an integer it is required to have x=y then equation will become z=x^2 or z=y^2   hence total positive factors will be 3.	ANSWER:Three
<result>C</result>
For prime numbers x and y, x^3*y^5=z^4. How many positive factors does positive integer z have?