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Question
Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?
Solution
12748 = `bar(2xx2) xx 3187`
On grouping the prime factors of 12748 as shown; one factor i.e. 3187 is left which cannot be paired with equal factor.
| 2 | 12748 |
| 2 | 6374 |
| 3187 | 3187 |
| 1 |
The given number should be multiplied by 3187.
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