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A Prime number has exactly two factors, 1 and the number itself.
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What types of numbers has an odd number of factors?
Even powers of prime numbers. Square numbers have an odd number of factors.
Is the odd number are prime?
Not all of them because 39 is an odd number that is not a prime number because it has more than two factors whereas prime numbers have only two factors.
Why are all the prime numbers are odd numbers?
All prime numbers are not odd numbers. 2 is an even prime number, and it is the only even prime number because all other even numbers have 2 as one of their factors.
Can odd numbers be composite?
If an odd number has more than two factors then it is a composite number but if it has only two factors then it is a prime number. Although all prime numbers are odd except for 2 many more odd numbers are composite numbers having more than two factors as for example 21 is an odd number whose factors are 1, 3, 7 and 21.
What is an easy way to generate numbers with an odd number of factors?
Start with the factors. Multiply combinations of three prime factors, then combinations of five, then seven, etc. All generated numbers will be guaranteed to have an odd number of prime factors.
