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Question
Using prime factorisation, find which of the following are perfect squares.
11250
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Solution
Prime factors of 11250 = 2 × (3 × 3) × (5 × 5) × (5 × 5)
As grouping, 2 has no pair.
| 2 | 11250 |
| 3 | 5625 |
| 3 | 1875 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 5 | 1 |
So, 11250 is not a perfect square.
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