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# The greatest prime factor of 144 is x

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Senior Manager
Joined: 20 May 2014
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The greatest prime factor of 144 is x [#permalink]  26 Nov 2017, 09:15
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Question Stats:

56% (00:35) correct 43% (00:06) wrong based on 30 sessions
The greatest prime factor of 144 is x
The greatest prime factor of 96 is y

 Quantity A Quantity B x y

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

Kudos for correct solution.
[Reveal] Spoiler: OA
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Joined: 20 Apr 2016
Posts: 824
WE: Engineering (Energy and Utilities)
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Re: The greatest prime factor of 144 is x [#permalink]  30 Nov 2017, 05:54
Bunuel wrote:
The greatest prime factor of 144 is x
The greatest prime factor of 96 is y

 Quantity A Quantity B x y

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

144 can be written as =$$2^4 X 3^2$$

96 can be written as =$$3 X 2^5$$

In both the case the greatest prime factor is = 3 . SO option C
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Re: The greatest prime factor of 144 is x   [#permalink] 30 Nov 2017, 05:54
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