how many different positive prime factors?

[rd85]

If n is a positive integer less than 200 and 14n⁄60 is also an integer, then n has how many different positive prime factors?
a. 2
b. 3
c. 5
d. 6
e. 8

[shibal]

14n/60 is equal to (2*7*n)/(2*2*3*5) therefore, to 14n/60 to be an integer, n has to have 2 3 and 5. so answer is 3.

hope it helps

[rd85]

Hey, thanks a lot again. I realised that I couldnt even interpret the question correctly.