smallest positive integer

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wishkaro: Junior | Next Rank: 30 Posts; Posts: 27; Joined: Wed Feb 18, 2009 3:13 am; Thanked: 3 times

by wishkaro » Tue May 05, 2009 9:09 am

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

OA E

Source: Beat The GMAT — Problem Solving | Tue May 05, 2009 9:09 am

Vemuri: Legendary Member; Posts: 682; Joined: Fri Jan 16, 2009 2:40 am; Thanked: 32 times; Followed by:1 members

by Vemuri » Tue May 05, 2009 9:19 am

Factors of 3150 = 2*3^2*5^2*7. So, we need 2*7=14 to make it a perfect square

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