These numbers between 1 and 40 have an odd number of factors: 4, 9, 16, 25, 36.
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There are 11 numbers between 1 and 130 that have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121.
Square numbers have an odd number of factors.
All square numbers have an odd number of factors.
Perfect squares are numbers with an odd number of factors.
Square numbers have an odd number of factors, but beyond that, any odd number can be a factor.