English, asked by anantkumardev, 7 months ago

Find the smallest number by which 8192 must be divided so that the quotient is a perfect cube.​

Answers

Answered by narenderyadav13781
10

Answer:

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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