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Find the smallest number by which 252 must be mutiplied to make it a perfect square.
Solution :
252=2×2×3×3×7252=2×2×3×3×7
We observe that 2 and 3 are grouped in pairs and the 7 is left un paired.
If we multiply 252252 by the factor 7 then
252×7=2×2×3×3×7×7252×7=2×2×3×3×7×7
1764=2×××3×3×7×71764=2×××3×3×7×7
Which is a perfect square.
