If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be\nOptions:\n(A) 2\n(B) 5\n(C) 6\n(D) 7\n(E) 14 Now, let's think a bit. Some random thoughts:
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3150*y = A^2\n3 * 1050 * y = A^2\n3*5*210*y = A^2\n3*5*7*3*2*5*y = A^2\n2*3^2*5^2*7*y = A^2\nConcept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7\nHence 14 ;
The final answer: (E).
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