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There are 31 numbers less than 1,000 which have an odd number of factors. They are: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,529,576,625,676,729,784,841,900,961.

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Q: From 1 to 1000 which numbers have a odd number of factors?
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How many numbers which are less than 1000 have an odd number of factors?

Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.


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