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Question

Find the least multiple of 1575 which is a perfect square.

A
11025
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B
10045
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C
6845
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D
8925
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Solution

The correct option is A 11025
Prime factorization of 1575:
5157553153633217

1575=5×5––––×3×3––––×7 In pair In pair Not in pair

So, in order to make it a perfect square, we need to multiply 1575 with 7.
Hence, the least multiple of 1575 which is a perfect square = 1575 × 7 = 11025.

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