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Question

Divide the number $$26244$$ by the smallest number so that the quotient is a perfect cube. 


Solution

$$26244 = 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3 \times 2\times 2$$
$$\displaystyle 2\times 2\times 3\times 3=36$$ is the smallest number by which $$26244$$ must be divided so that the quotient is a perfect cube.


Mathematics

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