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The largest odd factor of 2011 is 2011.
No. Seven is odd, for example, and does not have three as a factor.
A square number has an odd number of factors, but a number with an odd number of factor pairs is nothing special.
2 cannot be a factor of an odd number, 2 must be a factor of an even number.
3 is a factor of 24 that is an odd number bigger than 1