If N is a positive integer and 14N/60 is an integer, then N has how many different positive prime factors? Choose the correct answer:	A) 2	B) 3	C) 5	D) 6	E) cannot be determined
14N/60 = (2)(7)(N)/(2)(2)(3)(5)   = (7)(N)/(2)(3)(5)   For (7)(N)/(2)(3)(5) to be an integer, N must have a 2, 3 and 5 in its prime factorization (so the 2, 3 and 5 can cancel out in the denominator).   So, for example, if N = (2)(3)(5), then (7)(N)/(2)(3)(5) = (7)(2)(3)(5)/(2)(3)(5) = 7, which is an integer.   Likewise, if N = (2)(3)(5)(7), then (7)(N)/(2)(3)(5) = (7)(2)(3)(5)(7)/(2)(3)(5) = (7)(7) = 49, which is an integer.   Also, if N = (2)(3)(5)(7)(11), then (7)(N)/(2)(3)(5) = (7)(2)(3)(5)(7)(11)/(2)(3)(5) = (7)(7)(11), which will evaluate to be an integer.   If N = (2)(3)(5)(7)(11)(13), then (7)(N)/(2)(3)(5) = (7)(2)(3)(5)(7)(11)(13)/(2)(3)(5) = (7)(7)(11)(13), which will evaluate to be an integer.   And so on....   As we can see, we can continue this line of reasoning so that N has EVERY PRIME number in its prime factorization.   cannot be determined   ANSWcannot be determinedR:cannot be determined
<result>E</result>
If N is a positive integer and 14N/60 is an integer, then N has how many different positive prime factors?