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# How many prime factors does N have? (1) N is a factor of 7200 (2) 180

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Math Expert
Joined: 02 Sep 2009
Posts: 60647
How many prime factors does N have? (1) N is a factor of 7200 (2) 180  [#permalink]

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06 Nov 2019, 02:03
00:00

Difficulty:

55% (hard)

Question Stats:

58% (01:39) correct 42% (01:37) wrong based on 24 sessions

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How many distinct prime factors does N have?

(1) N is a factor of 7200
(2) 180 is a factor of N

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Joined: 23 Nov 2018
Posts: 246
GMAT 1: 650 Q49 V28
GPA: 4
Re: How many prime factors does N have? (1) N is a factor of 7200 (2) 180  [#permalink]

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06 Nov 2019, 05:25
1) 7200= 3^2*2^5*5^2
The distinct prime factors are 3,2,5

N can have 1 or 2 or 3 distinct prime factors - insufficient

2) 180= 3^2* 2^2* 5

N can have 3 factors or more

Both the options together- N has 3 distinct prime factors 2,3 and 5

C is the correct option

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Re: How many prime factors does N have? (1) N is a factor of 7200 (2) 180   [#permalink] 06 Nov 2019, 05:25
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