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Question
Find the cube root of the following number by the prime factorisation method.
64
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Solution
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
Prime factorisation of 64 = 2 × 2 × 2 × 2 × 2 × 2
= 23 × 23 = (2 × 2)3
∴ `root3 64` = 2 × 2 = 4
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