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The number of distinct factors of 10

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Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1741 [1] , given: 397

The number of distinct factors of 10 [#permalink] New post 12 Aug 2018, 15:56
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Question Stats:

76% (00:25) correct 23% (00:45) wrong based on 13 sessions
Quantity A
Quantity B
The number of distinct factors of 10
The number of distinct prime factors of 210


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1741 [0], given: 397

Re: The number of distinct factors of 10 [#permalink] New post 15 Aug 2018, 05:09
Expert's post
Explanation

The factors of 10 are 1 & 10, and 2 & 5. Since there are four factors, Quantity A is 4.

The prime factors of 210 are 2, 3, 5, and 7:

Attachment:
Capture.PNG
Capture.PNG [ 63.82 KiB | Viewed 673 times ]


Because 210 has four prime factors, Quantity B is also 4. The two quantities are equal.
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Re: The number of distinct factors of 10 [#permalink] New post 15 Aug 2018, 17:01
Factorisation is the quickest way to solve it. Since after the factorisation of 10, we'll already have the prime factors of 10, we just need to factorize 21 to get the count for 210.
Re: The number of distinct factors of 10   [#permalink] 15 Aug 2018, 17:01
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The number of distinct factors of 10

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