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How many numbers less than 1000 have an odd number of factors? For example, 6 has 4 factors (1, 2, 3, 6) and 9 has 3 factors (1,3,9).

 Oct 28, 2020
 #1
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1   that has an odd number

2=2*1 that has 2 that is no good

In fact, all prime numbers have 2 so none of those match the criterior

 

4  has 1,2, and 4    That has an odd number

 

6 is no good either,    1*6,2*3

 

So at least one of the factors must be a squared number.

Think about that!

 Oct 29, 2020

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