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What is the least number which, when multiplied by 28, forms a perfect square?
Question

What is the least number which, when multiplied by 28, forms a perfect square?

A.

14

B.

2

C.

7

D.

4

Correct option is C


Perform the prime factorization: 28 = 22.7 For a number to be a perfect square, all prime factors must have even powers.
28 = 22.7
The power of 2 is already even (22).
The power of 7 is odd (71). To make 28 a perfect square, the power of 7 must also be even.
Multiply 28 by 7:
28⋅7 = 196 = 22.72
The least number which when multiplied by 28 forms a perfect square is 7.

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