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so i do not know how to solve this problem and is confused on a method to find odd number of factors. How can I find the odd number of factors for a number that high?

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    Factors usually come pairwise. What type of numbers have an odd number of factors? – Andrew Chin Jun 24 '20 at 16:13
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    @AndrewChin This qualifies as an answer. If you post it as an answer, I will upvote. – Peter Jun 24 '20 at 16:19
  • "Divisor" would be a better name than "factor". First, it could lead to a confusion with the prime factors and second , $1$ is usually not considered as a "factor" , sometimes neither the number itself. – Peter Jun 24 '20 at 16:32

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The number is $\lfloor \sqrt{100000}\rfloor^2$. Squares and only squares have odd number of divisors.

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