Mathematics
Find the prime factorisation of the following numbers:
(i) 168
(ii) 2304
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Answer
(i) 168
| 2 | 168 |
|---|---|
| 2 | 84 |
| 2 | 42 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Hence, 168 = 2 × 2 × 2 × 3 × 7.
(ii) 2304
| 2 | 2304 |
|---|---|
| 2 | 1152 |
| 2 | 576 |
| 2 | 288 |
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Hence, 2304 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3.
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