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Question
Using prime factorisation, find which of the following are perfect squares.
729
Solution
Prime factors of 729 = (3 × 3) × (3 × 3) × (3 × 3)
As grouping, there is no unpaired factor left over.
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
So, 729 is a perfect square.
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