Cubes and Cube Roots

- A number is said to be a
**perfect cube**if each of its prime factors appears in group of three. - Prime factorization method can be used to check whether a number is a perfect cube or not.

For example, 5832 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3

Here, each of the prime factors occurs in groups of three. Hence, 5832 is a perfect cube.

- We can use the method of prime factorization to find the smallest number with which the given number must be multiplied with or divided by to obtain a perfect cube.

**E…**

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