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Question
Show that 1944 is not a perfect cube
Solution
| 2 | 1944 |
| 2 | 972 |
| 2 | 486 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
1944 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3
= `bar(2 xx 2 xx 2) xx bar(3 xx 3 xx 3) xx 3 xx 3`
= 23 × 33 × 3 × 3
There are two triplets to make further triplets we need one more 3.
∴ 1944 is not a perfect cube.
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