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Question
Express the following as a product of powers of their prime factors:
9000
Chart
Sum
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Solution
| 2 | 9000 |
| 2 | 4500 |
| 2 | 2250 |
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Using prime factorisation of 9000, we have
9000 = 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5
∴ 9000 = 22 × 32 × 53
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