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Question
Find the cube root of the following number by the prime factorisation method.
10648
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Solution
| 2 | 10648 |
| 2 | 5324 |
| 2 | 2662 |
| 11 | 1331 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factorisation of 10648 = 2 × 2 × 2 × 11 × 11 × 11
= 23 × 113 = (2 × 11 )3
∴ `root3 (10648)` = 2 × 11
= 22
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