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I have no clue how to go about this. If y is the smallest

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Senior Manager
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I have no clue how to go about this. If y is the smallest [#permalink] New post 06 Nov 2004, 09:25
I have no clue how to go about this.

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
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 [#permalink] New post 06 Nov 2004, 09:33
y*3150 to be square, lets factor 3150

3150 = 5 x 5 x 3 x 3 x 7 x 2 = (5 x 3)^2 x 14

so least value needed to make y a square will 14
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 [#permalink] New post 06 Nov 2004, 09:35
Quote:
so least value needed to make y a square will 14


Small correction : so least value of y needed to make y*3150 a square will 14
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 [#permalink] New post 06 Nov 2004, 09:37
Thanks Practice More..I got it.
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 [#permalink] New post 06 Nov 2004, 09:39
Also got 14 by prime factorization. About 1 min.
3150 = 2 * 3^2 * 5^2 * 7 = n^2
Put all primes to power 2. You are missing 2 * 7
You will get 2^2 * 3^2 * 5^2 * 7^2 = (2*3*5*7)^2 = 210^2 = n^2
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  [#permalink] 06 Nov 2004, 09:39
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I have no clue how to go about this. If y is the smallest

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