Question

What is the smallest number that must be multiplied ?with 24696 to make it perfect cube ?

Answer 1

Answer:

First factorise 24696.Its factors are 2×2×2×3×3×7×7×7. Here 3 is coming only two times but for making perfect cube we need three numbers .So we will multiply 24696 with 3.Then we will get 74088 .It is a square of 42.

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Answer 2

The smallest number to be multiplied with 24696 to make it a perfect cube is 3.

Given:

A number is to be multiplied with 24696 to be a perfect cube.

To Find:

The smallest number is to be multiplied to make 24696 a perfect cube.

Solution:

By factorizing 24696 we get,

24696= 2×2×2×7×7×7×3×3 = 2³×7³×3²

We see that only a 3 is missing to make it a cube.

If 24696 is multiplied by 3 it will be 74088 which is cube of 42.

Hence, the smallest number to be multiplied with 24696 to make it a perfect cube is 3.

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