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TAGS: GRE Prep Club Legend  Joined: 07 Jun 2014
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GRE Math Challenge #22- The number of odd positive factors [#permalink]
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Expert's post 00:00

Question Stats: 70% (00:21) correct 29% (00:31) wrong based on 17 sessions
Quantity A: The number of odd positive factors of 30
Quantity B: The number of even positive factors of 30

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

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Sandy
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Intern Joined: 18 Jun 2014
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Re: GRE Math Challenge #22 [#permalink]
Use prime factorization method to calculate total no. of positive factors = 8
no. of odd factors = 4
no. of even factors = total factors - no. of odd factors = 8-4 = 4
Correct ans is C
Manager Joined: 27 Sep 2017
Posts: 112
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Kudos [?]: 30 , given: 4

Re: GRE Math Challenge #22- The number of odd positive factors [#permalink]
sandy wrote:
Quantity A: The number of odd positive factors of 30
Quantity B: The number of even positive factors of 30

A)The quantity in Column A is greater
B)The quantity in Column B is greater
C)Both are Equal.
D)The relationship cannot be determined from the information given

To know the factors of a number, we shopuld know the prime factorization of a number.

Thus, 30=2*3*5 whose total factors would (1+1)(1+1)(1+1)=8

To obtain the odd factors, we should exclude the even factors, thus, we got (1+1)(1+1)=4

We can get the number of even factors. That is 8-4=4

Thus, the answer is C.
Manager  Joined: 26 Jun 2017
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Re: GRE Math Challenge #22- The number of odd positive factors [#permalink]
when the number is an even, as in 30's case, from the 1 to that EVEN, the number of even and odd integers are equal.
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What you think, you become. Re: GRE Math Challenge #22- The number of odd positive factors   [#permalink] 29 Mar 2018, 08:30
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