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Square numbers have an odd number of factors. 1, 4, 9, 16...

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Q: What two numbers of 24 32 48 45 60 and 72 have odd number of factors?
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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 sort of numbers have an odd number of factors why?

A perfect square has an odd number of distinct factors, because two of its factors are the same number.


Do odd numbers have an odd or even number of factors?

Both. 9 has three factors. 11 has two factors.


Do prime numbers have an odd number of factors?

A prime number has exactly two factors, 1 and the number itself.


Do odd numbers have a odd or even number of factors?

The number of factors can be either even or odd.


Is the GCF of any two numbers always odd and why?

The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even 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.


Will you get the same number of factors if you multiply a prime number and itself?

Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.


What is an odd prime number?

Odd numbers end in 1, 3, 5, 7 or 9. Prime numbers have only two factors. 47 is an odd prime number.


Are Every odd number is a prime number?

No because as for example 39 is an odd number but it is also a composite number because it has more than two factors and prime numbers have only two factors.


Is the greatest common factor of any 2 odd numbers odd?

Not only can they, but they must. An odd number cannot have an even factor. So none of the factors of either of the two odd numbers can be even and so the GCF is made up of only odd factors and so it must be odd.


What is the sum of two odd and even numbers?

The sum of two odd numbers or two even numbers is an even number. The sum of an odd number and an even number is an odd number.