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GRE Math Challenge #31- The greatest even factor of 180 that

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GRE Math Challenge #31- The greatest even factor of 180 that [#permalink] New post 19 Sep 2014, 02:58
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Question Stats:

83% (00:46) correct 16% (00:58) wrong based on 62 sessions
Quantity A
Quantity B
The greatest even factor of 180 that is less than 90
The greatest odd factor of 180



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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Re: GRE Math Challenge #31 [#permalink] New post 18 May 2015, 14:51
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sandy wrote:
Column A: The greatest even factor of 180 that is less than 90
Column B: The greatest odd factor of 180


Let's list ALL positive factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Column A: The greatest even factor of 180 that is less than 90 = 60
Column B: The greatest odd factor of 180 = 45

Answer:
[Reveal] Spoiler:
A


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Re: GRE Math Challenge #31- The greatest even factor of 180 that [#permalink] New post 30 May 2016, 12:11
how come !
180 can be factorized to 2,2,5,3 and 3
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Re: GRE Math Challenge #31- The greatest even factor of 180 that [#permalink] New post 31 May 2016, 23:48
180 can be factorized to 2,2,5,3 and 3

The greatest even factor less than 90 is 2*2*5*3 = 60
The greatest odd factor is 5*3*3 = 45

Hence A
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Re: GRE Math Challenge #31- The greatest even factor of 180 that [#permalink] New post 01 Jun 2016, 14:39
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awamy wrote:
how come !
180 can be factorized to 2,2,5,3 and 3


2, 3 and 5 are the PRIME factors of 180
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180 are the positive factors of 180

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Re: GRE Math Challenge #31- The greatest even factor of 180 that [#permalink] New post 02 Jun 2016, 03:16
yeah yeah, i got it (Y)
thanks a lottttt
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The greatest even factor [#permalink] New post 08 May 2018, 16:36
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Quantity A
Quantity B
The greatest even factor of 180 that is less than 90
The greatest odd factor of 180



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.
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Re: The greatest even factor [#permalink] New post 09 May 2018, 08:32
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60 vs 45, hence the answer.

Factoring the numbers would avoid silly mistakes.
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Re: The greatest even factor [#permalink] New post 31 Mar 2019, 07:24
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Carcass wrote:
Quantity A
Quantity B
The greatest even factor of 180 that is less than 90
The greatest odd factor of 180



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.


Factors of 180: 1, 2, 3, 4, 5, 6, 10, 12, 15 18, 30, 36, 45, 60, 90, 180
So, 60 = the greatest EVEN factor of 180 that is less than 90
And 45 = the greatest ODD factor of 180

We get:
QUANTITY A: 60
QUANTITY B: 45

Answer: B

Cheers,
Brent
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Re: The greatest even factor [#permalink] New post 03 Apr 2019, 02:49
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To find even factors, just find the total number of factors - in this case (4+1)(1+1)(2+1) = 30 total factors - and then subtract the number of odd factors 30 total - 6 odd = 24 even factors. (Also, kudos to your teacher.
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Re: GRE Math Challenge #31- The greatest even factor of 180 that [#permalink] New post 14 Feb 2020, 06:29
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Prime Factorize 180.
180 = 2*2*3*3*5
So, the greatest even factor less than 90 will be = 2*2*3*5 = 60
The greatest odd factor of 180 will be = 3*3*5 = 45
[Here we need to apply the multiplication rule of even and odd]
Ans: A
Re: GRE Math Challenge #31- The greatest even factor of 180 that   [#permalink] 14 Feb 2020, 06:29
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