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Question
Find the cube root of the following number by the prime factorisation method.
15625
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Solution
| 5 | 15625 |
| 5 | 3125 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factorization of 15625 = 5 × 5 × 5 × 5 × 5 × 5
= 53 × 53 = (5 × 5)3
∴ `root3 15625` = 5 × 5 = 25
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