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The smallest number by which 2352 must be multiplied to make it a perfect square is:

Competition practiceNumber & Arithmetic

A2
B6
C7
D3

Step-by-Step Solution

2352 =

2^{4} \times 3 \times 7^{2}

. Only the prime 3 appears an odd number of times, so multiply by 3:

2352 \times 3 = 7056 = 8 4^{2}

.

Answer: D) 3

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