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What is the smallest number that 1568 should be multiplied by, so as to make it a perfect square?
1. 2
2. 3
3. 4
4. 6

1 Answer

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Best answer
Correct Answer - Option 1 : 2

Calculation:

Prime factors of 1568 = 2 × 2 × 2 × 2 × 2 × 7 × 7

Perfect square number pairs = (2 × 2) × (2 × 2) × 2 × (7 × 7)

Here 2 doesn't have pair

So, 2 should be multiplied by 1568 to make it a perfect square

∴ The smallest number to be multiplied with 1568 to make it a perfect square is 2

In these type of questions, firstly we have to make prime factors then make perfect square numbers. 

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