Question

By which smallest number must 5400 be multiplied to make it a perfect cube ​

Answer 1

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Given,

To Find the smallest number of 5400 be multiplied to make it a perfect cube.

Now,

We have to find the factors of 5400

5400 = 2×2×2×3×3×3×5×5

$5400 = {2}^{3} \times {3}^{3} \times {5}^{2}$

Here,

2 occurs three times

3 occurs three times

5 occurs two times

When is 5 is multiplied by 5400, it will became

$27000 = {2}^{3} \times {3}^{3} \times {5}^{3}$

The factorization of 27000 contain the prime no. 5

So,

The smallest no. required for the perfect cube is 5.

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Answer 2

Answer:

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