C Numbers 28: Check whether a given number is a perfect cube [C Programming]

Write a program in C to check whether a given number is a perfect cube or not.

Expected Output :
Input a number : 125
The number is a perfect Cube of 5

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What is a Perfect Cube?

If the prime factors of a number are grouped in triples of equal factors, then that number is called a perfect cube.

Examples:

1. Resolving 250 as the product of prime factors

250 = 2 x 5x5x5

Since 2 does not exist in product of triples.
Therefore, 250 is not a perfect cube.

2. Resolving 5832 as the product of prime factors

5832 = 2x2x2 x 3x3x3 x 3x3x3

Since, they are grouped in triples.
Therefore, 5832 is a perfect cube

3. Resolving 1944 as the product of prime factors

1944 = 2x2x2 x 3x3x3 x 3x3

In order to make 1944 a perfect cube, it must be multiplied by 3.

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