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Question
Find the smallest number by which 27783 be multiplied to get a perfect cube number.
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Solution
| 3 | 27783 |
| 3 | 9261 |
| 3 | 3087 |
| 3 | 1029 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
= 3 × 3 × 3 × 3 × 7 × 7 × 7
= (3 × 3 × 3) × (7 × 7 × 7) × 3
Clearly, 27783 must be multiplied by 3 × 3
= 9
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