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GRE Math Challenge #22- The number of odd positive factors

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GRE Math Challenge #22- The number of odd positive factors [#permalink] New post 07 Sep 2014, 07:02
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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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Re: GRE Math Challenge #22 [#permalink] New post 10 Sep 2014, 03:27
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
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Re: GRE Math Challenge #22- The number of odd positive factors [#permalink] New post 08 Mar 2018, 00:34
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.
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Re: GRE Math Challenge #22- The number of odd positive factors [#permalink] New post 29 Mar 2018, 08:30
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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Re: GRE Math Challenge #22- The number of odd positive factors   [#permalink] 29 Mar 2018, 08:30
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GRE Math Challenge #22- The number of odd positive factors

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