How many distinct positive factors does 30,030 have?

Scott@TargetTestPrep: GMAT Instructor; Posts: 7243; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: How many distinct positive factors does 30,030 have?

by Scott@TargetTestPrep » Sun Jul 05, 2020 1:52 pm

BTGModeratorVI wrote: ↑
Sat Jun 27, 2020 6:47 am
How many distinct positive factors does 30,030 have?

A. 16
B. 32
C. 64
D. 128
E. 256

Answer: C

Solution:

Let’s prime factorize 30,030:

30,030 = 30 x 1001 = 2 x 3 x 5 x 7 x 143 = 2 x 3 x 5 x 7 x 11 x 13

Since 30,030 has 6 distinct prime factors and each prime factor is only raised to the power of 1, then the number of factors that 30,030 has is (1 + 1)^6 = 2^6 = 64.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Quote

Post new topic Post Reply

• Page 1 of 1

5/5

5 Star (473 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review