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# If y is the smallest positive integer such that 3,150

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Joined: 03 Apr 2007
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If y is the smallest positive integer such that 3,150 [#permalink]  01 Jun 2008, 13:14
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If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then
y must be
A. 2
B. 5
C. 6
D. 7
E. 14
Senior Manager
Joined: 19 Apr 2008
Posts: 325
Followers: 3

Kudos [?]: 44 [0], given: 0

Re: PS -smallest int [#permalink]  01 Jun 2008, 13:24
E. 14

3150*y = 9*5*14*5*y

for this term to be perfect square y should be 14
Senior Manager
Joined: 23 May 2006
Posts: 328
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Re: PS -smallest int [#permalink]  01 Jun 2008, 15:19
goalsnr wrote:
If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then
y must be
A. 2
B. 5
C. 6
D. 7
E. 14

Break down 3150 into its prime factors
n^2 = 2,3,3,5,5,7 times y
To make this a perfect suquare you need one for 2 and a 7, which is 14 (2x7). Therefore y must be 14
Re: PS -smallest int   [#permalink] 01 Jun 2008, 15:19
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