find the smallest number by which 27783 must be multiplied so that it becomes a perfect square
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27783÷3=9261 ;9261÷3=3087 ;3087÷3=1029 ;1029÷7=343 ;343÷7=49 ;49÷7=7
27783=(3×3)(3×3)(7×7)(7)
7 is left unpaired so multiply (7×7) on both sides
27783×7=(3×3)(3×3)(7×7)(7×7)
194481=3×3×7×7
Square root of 194481=441
Therefore 7 is the smallest number
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