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Question
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
1620
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Solution
1620 can be factorised as follows.
| 2 | 1620 |
| 2 | 810 |
| 3 | 405 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
1620 = 2 × 2 × 3 × 3 × 3 × 3 × 5
Here, prime factor 5 does not have its pair.
If we divide this number by 5, then the number will become a perfect square.
Therefore, 1620 has to be divided by 5 to obtain a perfect square.
1620 ÷ 5 = 324 is a perfect square.
324 = 2 × 2 × 3 × 3 × 3 × 3
∴ `sqrt324` = 2 × 3 × 3 = 18
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