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:

Q. Does the integer K have at least three different positive prime factors?

1. K/15 is an integer 2. K/10 is an integer

Will post OA after some time.

C cannot be it. It should be E because K could be 0 or 30 or any multiple of 30.

But the question is "Does the integer K has at least three different positive prime factors?". And the answer is "Yes". 0 - infinitely number of factors. 30 - 2*3*5 (3 factors).

Am I right, GT or am I missing something here?

Not sure.

0 is divisible by any integer/number but not sure whether all numbers are factor of 0.

As said above, the question should clearly say whether K is +ve, -ve or 0 integer. _________________

I dare to say that when working with primes one should assume all integers to be positive. It seems that the primality of negative numbers is not really defined. Besides, as pointed by IanStewart above, GMAT divisibility questions are always about positive integers.

Finally, I was partially wrong in my prior post. Yes, it could be argued that if all numbers are factors of 0, all primes are factors of 0. But ... "Many authors assume 0 to be a natural number that has no prime factorization. Thus Theorem 1 of Hardy & Wright (1979) takes the form, "Every positive integer, except 1, is a product of primes,"" (taken from http://en.wikipedia.org/wiki/Fundamenta ... arithmetic) ... so, if not even the math world has decided regarding the prime factorization of 0, better to ignore it too ... GMAT would never ask about something like this. _________________

I'm sure the word "positive" is misplaced here. The question should read, "Does the positive integer k have at least three prime factors?" this gets rid of the option of having zero as an answer, and "positive prime" is redundant. TYPO!

I disagree with the previous poster. k could be 0. This doesn't change the answer. If k=0 then k has "at least three different positive prime factors", as every number is a factor of 0.

Totally agree with Powerka, 0=0*1*3*5*...., so 0 has at least 3 prime factors

If this were a real GMAT question, it would ask "Does the positive integer K have at least three different positive prime factors?" GMAT questions about divisibility are always restricted to positive integers only. That said, zero is not an exception here anyway, as has been pointed out above, but you won't need to worry about that on the real test.

great point by Ian here as I was thrown off by the possibility of K being a negative integer. But now that I know GMAT questions about divisibility are only positive numbers. Thanks for the heads up!

(S1): k is a multiple of 15. If k is 15, prime factors are 3 and 5 (i.e. <3). If k is 30, prime factors are 2,3, and 5 (i.e. =3). If k is 0, there are no prime factors. INSUFFICIENT (S2): k is multiple of 10. If k is 10, prime factors are 2 and 5 (i.e.<3), if k is 30, once again prime factors=3. If k is 0 there are no prime factors. INSUFFICIENT Combining S1 and S2: k must be a multiple of both 15 and 10. If k=0, there are no prime factors. If k is any other multiple of both 15 and 10 then prime factors at least include 2,3, and 5 so prime factors are > or = 3. INSUFFICIENT Therefore the answer should be E

However, OA is C. Can someone please explain to me where I'm going wrong or am I correct to assume that this is an error. _________________

The Brain Dump - From Low GPA to Top MBA(Updated September 1, 2013) - A Few of My Favorite Things--> http://cheetarah1980.blogspot.com

I did a search for this topic and didn't find anything, so if this is a repeat question then I apologize.

In the OG 12 diagnostic test I think I found an error in the DS section, question #42.

Does the integer k have at least three different positive prime factors? (S1) k/15 is an integer (S2) k/10 is an integer

cheetarah1980 wrote:

(S1): k is a multiple of 15. If k is 15, prime factors are 3 and 5 (i.e. <3). If k is 30, prime factors are 2,3, and 5 (i.e. =3). If k is 0, there are no prime factors. INSUFFICIENT (S2): k is multiple of 10. If k is 10, prime factors are 2 and 5 (i.e.<3), if k is 30, once again prime factors=3. If k is 0 there are no prime factors. INSUFFICIENT Combining S1 and S2: k must be a multiple of both 15 and 10. If k=0, there are no prime factors. If k is any other multiple of both 15 and 10 then prime factors at least include 2,3, and 5 so prime factors are > or = 3. INSUFFICIENT Therefore the answer should be E

However, OA is C. Can someone please explain to me where I'm going wrong or am I correct to assume that this is an error.

You are doing everything right till the last assumption about zero.

When we combine statements we have that 2, 3, and 5 are factors of k, so k has at least 3 different prime factors.

As for 0, question can be rephrased as follows: is k divisible by more than 3 different prime factors (is k a multiple of more than 3 prime factors). 0 is divisible by EVERY integer (except zero itself), so 0 is divisible by more than 3 prime factors.

So, my final tally is in. I applied to three b schools in total this season: INSEAD – admitted MIT Sloan – admitted Wharton – waitlisted and dinged No...

HBS alum talks about effective altruism and founding and ultimately closing MBAs Across America at TED: Casey Gerald speaks at TED2016 – Dream, February 15-19, 2016, Vancouver Convention Center...

By Libby Koerbel Engaging a room of more than 100 people for two straight hours is no easy task, but the Women’s Business Association (WBA), Professor Victoria Medvec...