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3087 = 3 x 1029

1029 = 3 x 343

343 = 7 x 49

49 = 7 x 7

32 x 73

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13y ago

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What are the prime factors of 3087?

The prime factors are: 3,7


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To determine the smallest number by which 3087 must be multiplied to make it a perfect cube, we first need to find its prime factorization. The prime factorization of 3087 is (3^2 \times 7^1 \times 13^1). For a number to be a perfect cube, all the exponents in its prime factorization must be multiples of 3. Thus, we need to multiply by (3^1 \times 7^2 \times 13^2) to make the exponents of each prime factor a multiple of 3. Therefore, the smallest number to multiply is (3 \times 49 \times 169 = 2457).


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