If x and y are both odd prime numbers and x < y, how many distinct positive integer factors does 2xy have?	Pick one:
A) 3  B) 4  C) 6  D) 8  E) 12
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 &gt; 2. Also, they must be distinct as x&lt;y.   I choose x=3 and y=5:   How many factors does 2x3x5=30 have:   1, 2, 3, 5, 6, 10, 15, 30 = 8 distinct positive integer factors.   Hence, the correct answer is 8.
<result>D</result>
If x and y are both odd prime numbers and x < y, how many distinct positive integer factors does 2xy have?