If x and y are both odd prime numbers and x < y, how many distinct positive integer factors does 2xy have? Choose the correct choice from the following answers
A) 3  B) 4  C) 6  D) 8  E) 12

Rationale: the solution should be the same for all numbers that fulfill the condition above . as x and y are odd prime numbers , they must be > 2 . also , they must be distinct as x < y . i choose x = 3 and y = 5 : how many factors does 2 x 3 x 5 = 30 have : 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30 = 8 distinct positive integer factors . hence , the correct answer is d .
Answer: D