Question

By what smallest number should 12000 be multiplied so that the product becomes a perfect cube?​

Answer 1

Answer:

For a number to be a perfect cube, each of its prime factors has to have a power that is a multiple of 3. The prime factors that we need to "fix" then are 2 and 13, whose powers are 2. So we need to multiply by 2 × 13 = 26. The resulting perfect cube is 18252 × 26 = 2³ × 3³ × 13³ = 78³.

Answer 2

Answer:

18

Because,

12000*18

= 216000

216000 is Cube of 60

60*60*60

= 216000

So,

The correct Answer is 18

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