If x = 3y, where y is a prime number greater than 2, how many different positive even divisors does x have, including x?  Choose the correct choice from the following options:
A) 0  B) 1  C) 2  D) 3  E) It cannot be determined from the information given
For x to have even divisors, xx has to be an even number.   We know that x=3y, where yy is a prime number greater than 2. As 2 is the only even prime number, y has to be an odd prime number.   This means that x must also be an odd number, since odd x odd = odd.   As x is odd, it cannot have any even divisors.   Therefore, 0 is the correct answer.
<result>A</result>
If x = 3y, where y is a prime number greater than 2, how many different positive even divisors does x have, including x?