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Question
Find if the following number is a perfect cube?
24000
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Solution
24000
∵ 24000 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5
| 2 | 24000 |
| 2 | 12000 |
| 2 | 6000 |
| 2 | 3000 |
| 2 | 1500 |
| 2 | 750 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
= (2)3 x (2)3 x (5)3 x 3
∴ 24000 is not a perfect cube.
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