• Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

If n=2^4*3*5, how many factors of n are...

This topic has 1 expert reply and 0 member replies

If n=2^4*3*5, how many factors of n are...

Post Wed Nov 08, 2017 7:22 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If n=2^4*3*5, how many factors of n are greater than or equal to 8 and less than equal to 30?

    (A) 8
    (B) 9
    (C) 10
    (D) 12
    (E) 15

    The OA is A.

    Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Wed Nov 08, 2017 11:43 am
    There may be more formulaic strategies that you could use, but in this case (since it's a small-ish range), I'd just list out all the factors, then count:

    n=2^4*3*5

    Factors:
    1
    2
    3
    4
    5
    6
    8
    10
    12
    15
    16
    20
    24
    30


    There are 8 distinct factors in this range. The answer is A.

    Please list the source of your question!

    _________________


    Ceilidh Erickson
    Manhattan Prep GMAT & GRE instructor
    EdM in Mind, Brain, and Education
    Harvard Graduate School of Education


    Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience.
    Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry!

    Thanked by: swerve
    Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week.

    Best Conversation Starters

    1 LUANDATO 160 topics
    2 lheiannie07 87 topics
    3 Roland2rule 75 topics
    4 ardz24 60 topics
    5 AAPL 55 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description EconomistGMATTutor

    The Economist GMAT Tutor

    168 posts
    2 image description GMATGuruNY

    The Princeton Review Teacher

    130 posts
    3 image description Jay@ManhattanReview

    Manhattan Review

    128 posts
    4 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    117 posts
    5 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    103 posts
    See More Top Beat The GMAT Experts