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The given number is 25200.Prime factorization of 25200 is given by,25200=2×2×2×2×3×3×5×5×7Since the primefactor 7,does not occur in pair,so the given number is not a perfect square.In order to make it a perfect square,we must divide it by7.So,required number=7.
3 5 3

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                             2|  6300
                             2|  3150
                             3|  1575
                             5|    525
                             3|    105
                             5|       35


Here only the number 7 is not paired up.So,
Also 3600 is a perfect square=√3600=60 and 60²=3600.
1 5 1
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