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Senior Manager
Joined: 21 Jun 2004
Posts: 340
Followers: 1

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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
_________________

510 on my first GMAT. 610 on second GMAT.!
The struggle continues.

Manager
Joined: 13 Oct 2004
Posts: 51
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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
Manager
Joined: 13 Oct 2004
Posts: 51
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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
Senior Manager
Joined: 21 Jun 2004
Posts: 340
Followers: 1

Kudos [?]: 2 [0], given: 0

Thanks Practice More..I got it.
_________________

510 on my first GMAT. 610 on second GMAT.!
The struggle continues.

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4312
Followers: 28

Kudos [?]: 219 [0], given: 0

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
_________________

Best Regards,

Paul

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