Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

First I chose E because I was of the opinion we need to get the count of the different prime factors and I did not know how many times the prime factors would be repeated. Then reworked to come to the opinion that "C" should be right answer.

Statement 1 : N is a factor of 7200. Could be 360, 180, 24, 3, 2, 5 etc... There could be different combination of prime factors possible. Statement 2 : 180 is a factor of N. Could be again 180, 360, 1260 etc...There could be different number of prime factors possible.

Statement 1 + Statement 2 = i)N is less than or equal to 7200 and greater than or equal to 180. ii)In order to satisfy both statements the number "N" when factorized will contain only 3 prime factors - (2^n)*(3^m)*(5^p)
_________________

I will rather do nothing than be busy doing nothing - Zen saying

Last edited by Pansi on 06 Oct 2012, 01:58, edited 2 times in total.

(1) 7200 has plenty of divisors, 1, 2, 3, 4, 6, ... Not sufficient.

(2) There are many multiples of 180, so N can be 180, 360, 540,..., 7*180,... Not sufficient.

(1) and (2): We can deduce that 7200 = AN, for some integer A. Also, N = 180B, for some integer B. In conclusion, 7200 = 180AB, from which AB = 40. B must be a factor of 40. The prime factors of 180 are 2, 3, and 5. The prime factors of 40 are 2 and 5. In conclusion, the prime factors of N = 180B are 2, 3 and 5 only. Sufficient.

Answer C.
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: How many prime factors does N have? [#permalink]

Show Tags

06 Oct 2012, 02:27

Zinsch123 wrote:

Wouldn't a real gmat question state that we are looking for the number of distinct prime factors?

On the GMAT yes, I think so. They are quite pedantic, so almost sure, they would explicitly stress "distinct". But, for example, there is no particular reason to count how many prime factors 32 has. You are either interested in how many (distinct) prime factors a number has, or how many distinct factors it has. I don't think you would count 5 prime factors of 32...
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

(1) 7200 has plenty of divisors, 1, 2, 3, 4, 6, ... Not sufficient.

(2) There are many multiples of 180, so N can be 180, 360, 540,..., 7*180,... Not sufficient.

(1) and (2): We can deduce that 7200 = AN, for some integer A. Also, N = 180B, for some integer B. In conclusion, 7200 = 180AB, from which AB = 40. B must be a factor of 40. The prime factors of 180 are 2, 3, and 5. The prime factors of 40 are 2 and 5. In conclusion, the prime factors of N = 180B are 2, 3 and 5 only. Sufficient.

Answer C.

It just occurred to me that I could summarize the the above reasoning for (1) and (2) in the following way:

N is a divisor of 7200, which has prime factors 2, 3, and 5. Therefore, N can have at most three prime divisors: 2, 3, and 5. N must not have all of them. Since 180 is a factor of N and has prime factors 2, 3, and 5, necessarily N must have at least the same prime factors, and ALL of them. Therefore, in conclusion, N must have exactly three prime factor: 2, 3, and 5.
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: How many prime factors does N have? [#permalink]

Show Tags

14 Jan 2014, 23:18

shivanigs wrote:

How many prime factors does N have?

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

Sol: As per St 1, we have 7200/N= I where I is some integer Factorizing 3600, we get : 7200= (2^5*3^2*5^2)/ I = N Now if I is 1 then N will have 2,3 and 5 as prime factors But I =25 then N will have only 2 and 3 as prime factors

Thus at the most N can have 3 prime factors but it can have less as well So A and D ruled out. This statement basically says the number of Prime factors of N will be less than or equal to 3

St2 N= 180 *A where A is some Integer N= 2^2*3^2*5 *A Thus N will surely have at 2,3 and 5 as prime factors but Integer A can take any value ie. It can be 6 or some other prime say 11 or multiple of 2 primes say 11 and 13.

So B ruled out. This statement tells us that number of prime factors of N will be greater than or equal to 3.

Combining we get we N has 3 factors only

Ans C
_________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Re: How many prime factors does N have? [#permalink]

Show Tags

27 Sep 2015, 08:13

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...