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# The greatest even factor

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Founder
Joined: 18 Apr 2015
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Kudos [?]: 1266 [0], given: 5997

The greatest even factor [#permalink]  08 May 2018, 16:36
Expert's post
00:00

Question Stats:

82% (00:55) correct 17% (01:05) wrong based on 17 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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Manager
Joined: 26 Jan 2018
Posts: 185
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Kudos [?]: 114 [1] , given: 3

Re: The greatest even factor [#permalink]  09 May 2018, 08:32
1
KUDOS
60 vs 45, hence the answer.

Factoring the numbers would avoid silly mistakes.
GRE Instructor
Joined: 10 Apr 2015
Posts: 1784
Followers: 58

Kudos [?]: 1677 [1] , given: 8

Re: The greatest even factor [#permalink]  31 Mar 2019, 07:24
1
KUDOS
Expert's post
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

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Intern
Joined: 03 Apr 2019
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Kudos [?]: 1 [1] , given: 0

Re: The greatest even factor [#permalink]  03 Apr 2019, 02:49
1
KUDOS
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.
Re: The greatest even factor   [#permalink] 03 Apr 2019, 02:49
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