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:

Not necessary. If 2,3,5,7 are the factors of p, p is not a product of 4 (since 4 is not a factor of p). However, if 2,3,5, and 7 are the only prime factors of p, then p may be a multiple of 4 if the power of 2 in the product is 2 or more.
_________________

Not necessary. If 2,3,5,7 are the factors of p, p is not a product of 4 (since 4 is not a factor of p). However, if 2,3,5, and 7 are the only prime factors of p, then p may be a multiple of 4 if the power of 2 in the product is 2 or more.

What if the question becomes, 2,3,5,7 are the only factor, not only prime factor. Is P then the product of the 4?

Not necessary. If 2,3,5,7 are the factors of p, p is not a product of 4 (since 4 is not a factor of p). However, if 2,3,5, and 7 are the only prime factors of p, then p may be a multiple of 4 if the power of 2 in the product is 2 or more.

What if the question becomes, 2,3,5,7 are the only factor, not only prime factor. Is P then the product of the 4?

Hi score780, I'm afraid this question doesn't really make sense. 2, 3, 5 and 7 cannot be the only factors of some number p, because the number 1 is a factor of all numbers, and so is the number p itself. In this case, the number needs to be, at a minimum, 2x3x5x7 which is 210. 210 has a lot more factors than these 4 numbers. I'm pretty sure the question should mention that these are the only prime factors of p. If that's the case, then p can be the product of these four numbers, or any multiple of that number (i.e. 210, 420, 630, etc). So no if they are the only prime factors then it doesn't guarantee anything.

Be careful with factors, they always come in pairs (special case for perfect squares ) The factors of a number that has 2, 3, 5 and 7 as factors are at a minimum:

1 and 210 2 and 105 3 and 70 5 and 42 6 and 35 7 and 30 10 and 21 14 and 15

Be careful with factors, they always come in pairs (special case for perfect squares ) The factors of a number that has 2, 3, 5 and 7 as factors are at a minimum:

1 and 210 2 and 105 3 and 70 5 and 42 6 and 35 7 and 30 10 and 21 14 and 15

Hope this helps! -Ron

Hi Ron, yes very clear. I am just confused about the pairs you mentioned at the end about perfect squares and pairs of factors. Can you please help me understand?

Hi Ron, yes very clear. I am just confused about the pairs you mentioned at the end about perfect squares and pairs of factors. Can you please help me understand?

Hi score780, yes of course. I only wanted to draw attention to the fact that factors always come in pairs, so if you want to find all the factors of 20 you go find 1 and 20, 2 and 10 and 4 and 5. These numbers all multiply together to produce 20. The factors of 20 are thus, in order: 1, 2, 4, 5, 10 and 20. Each number has a pair with which it produces the original number.

For perfect squares (say 36), then the multiples become: 1 and 36 2 and 18 3 and 12 4 and 9 6 and 6.

That is, all the factors are paired up, except for 6, which is paired up with itself. the factors of 36 are thus 1, 2, 3, 4, 6, 9, 12, 18 and 36. This is an odd number (nine factors) because it is a perfect square. 2 clearly pairs up with 18 to result in 36, and 9 pairs up with 4, but for perfect squares there will be one factor paired up with itself.

Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...

Post today is short and sweet for my MBA batchmates! We survived Foundations term, and tomorrow's the start of our Term 1! I'm sharing my pre-MBA notes...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...