what is the smallest number by which 3087 may be multiplied so that the product is perfect cube
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We know, a perfect cube has multiples of 3 as powers of prime factors.
Here, number of 7's is 3 and number of 3's is 2.
So we need to multiply another 3 to the factorization to make 3087 a perfect cube.
Hence, the smallest number by which 3087 must be multiplied to obtain a perfect cube is 3.
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