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Question

write the lowest number of six digit . b what smallest number should it be divided so that it becomes a perfect square?

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Solution

We know that,smallest six digit number = 100000Now, prime factorisation of 100000 is,100000 = 2×2×2×2×2×5×5×5×5×5Since the prime factor 2 and 5 do not occur in pair so it is not a perfect square.In order to make it a perfect square, it must be divided by 102×5.Now, 10000010 = 10000, that is a perfect square.Also, 10000 = 100

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