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Question
The following number is a perfect cube or not?
100
Sum
Solution
The prime factorisation of 100 is as follows:
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
100 = 2 × 2 × 5 × 5
Here in the prime factorisation of 100, the numbers 2 and 5 are not in groups of three.
Therefore, 100 is not a perfect cube.
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