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NS - Factors

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Senior Manager
Senior Manager
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Joined: 15 Feb 2011
Posts: 263
Followers: 4

Kudos [?]: 12 [0], given: 9

GMAT Tests User
NS - Factors [#permalink] New post 02 Aug 2011, 03:08
The positive integer 200 has how many factors?

A) 2
B) 10
C) 12
D) 15
E) 24

IMO it should be 12 but the answer is 24.
Can somebody help me understand what am i missing?
Manager
Manager
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Joined: 24 Aug 2008
Posts: 233
Location: India
WE 1: 3.75 IT
WE 2: 1.0 IT
Followers: 2

Kudos [?]: 30 [0], given: 5

GMAT Tests User
Re: NS - Factors [#permalink] New post 02 Aug 2011, 03:27
The answer should be 12.

200 = 2^3 * 5^2

Using the logic for calculating factore, we can conclude that factore = (3+1) * (2+1) = 4*3 = 12

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Manager
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Status: Trying to survive
Joined: 29 Jun 2011
Posts: 186
GMAt Status: Quant section
Concentration: Finance, Real Estate
Schools: WBS (D)
GMAT Date: 12-30-2011
GPA: 3.2
Followers: 10

Kudos [?]: 88 [0], given: 94

GMAT Tests User
Re: NS - Factors [#permalink] New post 02 Aug 2011, 09:30
DeeptiM wrote:
The positive integer 200 has how many factors?

A) 2
B) 10
C) 12
D) 15
E) 24

IMO it should be 12 but the answer is 24.
Can somebody help me understand what am i missing?

the answer is 12
take 2000 which is a multiple of 200, thus 2000 must have more factors than 200 ( because 2000 have more prime factors) .
if 2000 have (4+1) * (3+1) = 20 factors
so 200 can't have 24 factors :-D

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How can i lose my faith in life's fairness when i know that the dreams of those who sleep on the feathers are not more beautiful than the dreams of those who sleep on the ground? - Jubran Khaleel Jubran

Re: NS - Factors   [#permalink] 02 Aug 2011, 09:30
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