Question

Find the smallest number by which 180 should be multiplied to get a perfect square

Answer 1

first let's factorise it
2_|108_
2|54
3|27
3|9
3|3
|1
factors of 108 are 2*2*3*3*3
as we can see 2-2, 2-2, 3-3, gets paired but 3 left unpaired. . so in order to make this no. a perfect square it should be multiplied by 3
hope it helps
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