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.

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:

Re: Does the integer k have at least three different positive [#permalink]
27 Mar 2012, 02:07

Expert's post

Does the integer k have at least three different positive prime factors?

(1) k/15 is an integer --> since k is divisible by 3*5=15, then it's divisible by 3 and 5, hence k has at least those two prime factors, though it might have more (consider k=30). Not sufficient.

(2) k/10 is an integer --> since k is divisible by 2*5=10, then it's divisible by 2 and 5, hence k has at least those two prime factors, though it might have more (consider k=30). Not sufficient.

(1)+(2) At least 3 primes are factors of k: 2, 3, and 5. Sufficient.

Re: Does the integer k have at least three different positive [#permalink]
24 Mar 2013, 07:42

hi I understand the example 1. since K is divisible by 15, 3 AND 5 are the factors but what about 1?can't it be considered as one of the factors? Or it is not considered as one of the factors because the question mentions prime factor and 1 is not a prime no.?

Bunuel wrote:

Does the integer k have at least three different positive prime factors?

(1) k/15 is an integer --> since k is divisible by 3*5=15, then it's divisible by 3 and 5, hence k has at least those two prime factors, though it might have more (consider k=30). Not sufficient.

(2) k/10 is an integer --> since k is divisible by 2*5=10, then it's divisible by 2 and 5, hence k has at least those two prime factors, though it might have more (consider k=30). Not sufficient.

(1)+(2) At least 3 primes are factors of k: 2, 3, and 5. Sufficient.

Re: Does the integer k have at least three different positive [#permalink]
24 Mar 2013, 10:49

4112019 wrote:

hi I understand the example 1. since K is divisible by 15, 3 AND 5 are the factors but what about 1?can't it be considered as one of the factors? Or it is not considered as one of the factors because the question mentions prime factor and 1 is not a prime no.?

1 is one of the factors of K, but we are looking for "different positive prime factors", so 1 cannot be considered as it is not a prime number. _________________

It is beyond a doubt that all our knowledge that begins with experience.

Re: Does the integer k have at least three different positive [#permalink]
25 Mar 2013, 00:28

Expert's post

dzodzo85 wrote:

Does the integer k have at least three different positive prime factors?

(1) k/15 is an integer. (2) k/10 is an integer.

Maybe it is just me but I feel the answer should be E.

The question stem asks whether integer k has atleast 3 different ..... SO it is either a Yes or a No.

Now, taking F.S 1, we have k/15 is an integer. Thus, for k=0, we have a NO for the question stem. But, for k=30, we have a YES. Insufficient.

From F.S 2 , we have k/10 is an integer. Just as above, Insufficient. Taking both fact statements together, we have for k=0, a NO. Again, taking both statements together, for k=30 we have a YES. Insufficient

Re: Does the integer k have at least three different positive [#permalink]
25 Mar 2013, 00:33

1

This post received KUDOS

Expert's post

vinaymimani wrote:

dzodzo85 wrote:

Does the integer k have at least three different positive prime factors?

(1) k/15 is an integer. (2) k/10 is an integer.

Maybe it is just me but I feel the answer should be E.

The question stem asks whether integer k has atleast 3 different ..... SO it is either a Yes or a No.

Now, taking F.S 1, we have k/15 is an integer. Thus, for k=0, we have a NO for the question stem. But, for k=30, we have a YES. Insufficient.

From F.S 2 , we have k/10 is an integer. Just as above, Insufficient. Taking both fact statements together, we have for k=0, a NO. Again, taking both statements together, for k=30 we have a YES. Insufficient

Might be a blonde moment.

If k=0, then k is a multiple of all prime numbers: zero is a multiple of every integer (except zero itself). _________________

Re: Does the integer k have at least three different positive [#permalink]
25 Mar 2013, 01:14

Expert's post

Bunuel wrote:

vinaymimani wrote:

dzodzo85 wrote:

Does the integer k have at least three different positive prime factors?

(1) k/15 is an integer. (2) k/10 is an integer.

Maybe it is just me but I feel the answer should be E.

The question stem asks whether integer k has atleast 3 different ..... SO it is either a Yes or a No.

Now, taking F.S 1, we have k/15 is an integer. Thus, for k=0, we have a NO for the question stem. But, for k=30, we have a YES. Insufficient.

From F.S 2 , we have k/10 is an integer. Just as above, Insufficient. Taking both fact statements together, we have for k=0, a NO. Again, taking both statements together, for k=30 we have a YES. Insufficient