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

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by Vincen » Wed Jul 22, 2020 12:18 pm

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

by Scott@TargetTestPrep » Sat Jul 25, 2020 2:22 pm
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

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

by Brent@GMATPrepNow » Mon Jul 05, 2021 5:04 am
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
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