What is the smallest number by which 3087 should be divided so that the new number is a perfect cube?

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Find the smallest number by which 3087,33275,120393 must be divided so that quotient is a perfect cube

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Text Solution

Solution : Given:<br> The prime factor of `3087` are<br> `=>3087=3xx3xx7xx7xx7`<br> Since, `3` does not occur in triplet.<br> So, `3087` is not a perfect cube.<br> In order to make a perfect cube .We have to divided by `9`<br>