#### Question

The following numbers are not perfect cubes?

100

#### Solution

The prime factorisation of 100 is as follows.

100 = 2 × 2 × 5 × 5

Here, each prime factor is not appearing as many times as a perfect multiple of 3. Two 2s and two 5s are remaining after grouping the triplets. Therefore, 100 is not a perfect cube

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The Following Numbers Are Not Perfect Cubes? 100 Concept: Some Interesting Patterns of Cube Numbers.

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