Question

Is 3087 a perfect cube ? If not, find the smallest number by which it should be
multiplied to get a perfect cube.Also find the cube root of the number thus obtained.
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Answer 1

Answer:

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Step-by-step explanation:

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.

Answer 2

Step-by-step explanation:

By prime factorisation we get 3087 = 7×7×7×3×3 =

7

3

×

3

2

There are three 7’s but only two 3’s so 3087 is not a perfect cube.