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3 is the smallest number by which 3087 must be divided so that the quotient is a perfect cube.
Step-by-step explanation:
Given a number 3087
we have to find the smallest number by which 3087 must be divided so that the quotient is a perfect cube.
The prime factors of 3087 are
3087=3\times 3\times 7\times 7\times 73087=3×3×7×7×7
To find the cube root we need to write a number for a pair of 3
Since the number 3 has not triplet,
Therefore we need to multiply 3087 by 3 to make it a perfect cube.
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