BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

What is the range of the prime factors of \(x,\) where \(x\) is \(275?\)

This topic has expert replies
Source: — Problem Solving |

User avatar
GMAT Instructor
Posts: 8127
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members
Vincen wrote:
Wed Jul 22, 2020 12:18 pm
What is the range of the prime factors of \(x,\) where \(x\) is \(275?\)

(A) 5
(B) 6
(C) 11
(D) 30
(E) 55

[spoiler]OA=B[/spoiler]

Source: Magoosh
Solution:

Let’s prime factorize 275:

275 = 55 x 5 = 5 x 11 x 5

Therefore, the prime factors of 275 are 5, 5, 11, and their range 11 - 5 = 6.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

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

ImageImage

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770
Vincen wrote:
Wed Jul 22, 2020 12:18 pm
What is the range of the prime factors of \(x,\) where \(x\) is \(275?\)

(A) 5
(B) 6
(C) 11
(D) 30
(E) 55

[spoiler]OA=B[/spoiler]

Source: Magoosh
Let's first find the prime factorization of 275...

275 = (5)(5)(11)

Range = 11 - 5 = 6

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image