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100 is a perfect square. If you divide this into 2100 you are left with 21.

21 is 3 x 7. Three and seven are two different prime numbers.

You can't get a perfect square out of that, so the answer is :-

Dividing by 21 gives you a perfect square.

Dividing by any smaller number would leave an unpaired and unpairable Prime number in the quotient.

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Q: Write down the least whole number by which 2100 can be divided to make the result a perfect square?
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