Find the smallest number by which 8192 must be divided so that the quotient is a perfect cube.
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Prime Factorisation of 8192
8192=2×2×2×2×2×2×2×2×2×2×2×2×2
8192=2^3×2^3×2^3×2^3×2
To make it as a perfect cube We have to divide 2 by 8192
8192÷2= 4096
The perfect cube obtained on dividing 8192 by 2 is 4096
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