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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.
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