how many different positive prime factors?

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

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shibal: Master | Next Rank: 500 Posts; Posts: 345; Joined: Wed Mar 18, 2009 6:53 pm; Location: Sao Paulo-Brazil; Thanked: 12 times; GMAT Score:660

by shibal » Thu Jul 16, 2009 4:28 am

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

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rd85: Senior | Next Rank: 100 Posts; Posts: 39; Joined: Mon May 19, 2008 4:43 am

by rd85 » Thu Jul 16, 2009 5:05 am

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

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