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Question
Express the following as a product of powers of their prime factors:
2025
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Solution
| 3 | 2025 |
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Using prime factorisation of 2025, we have
2025 = 3 × 3 × 3 × 3 × 5 × 5
∴ 2025 = 34 × 52
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