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Question
The following number is a perfect cube or not?
216
Sum
Solution
The prime factorisation of 216 is as follows:
| 2 | 216 |
| 2 | 108 |
| 2 | 54 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
216 = 2 × 2 × 2 × 3 × 3 × 3
= 23 × 33
Here, as each prime factor is appearing as many times as a perfect multiple of 3, therefore, 216 is a perfect cube.
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