Is 9000 a perfect cube?


Given :

The given number is 9000.

To do :

We have to find whether 9000 is a perfect cube or not.

Solution :

Cube of a number is a product obtained by multiplying the number with itself three times.

For example, the cube of $a = a \times a \times a =a^3$

The cube root of a number can be found by the prime factorization method.

Prime factorisation of 9000 $= 2\times 2\times 2\times 3\times 3\times 5\times 5\times 5 = (2\times 2\times 2)\times (5\times 5 \times 5)\times (3\times 3)$

3 is multiplied only 2 times in the factorization.

Therefore, 9000 is not a perfect cube.


Updated on: 10-Oct-2022

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