Question:
The least number by which 125 be multiplied to make it a perfect square, is________
Solution:
5
Resolving 125 into prime factors, we get
$125=5 \times 5 \times 5$
Grouping the factors in triplets of equal factors, we get
$125=(5 \times 5) \times 5$
We observe that 5 is without a pair.
Thus, we must multiply the number by 5 , so that the product is a perfect square.
Hence, the least number, which should be multiplied with 125 to make it a perfect square, is 5 .
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