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A Prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.

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Why do you only need the common prime factors when finding the greatest common factor?

All numbers (except 0 and 1) are either prime or composite. All composite numbers can be expressed as the product of prime factors. So the GCF will either be a single prime number or a combination of prime numbers. Of course, if there are no common prime numbers, the GCF is 1.


Are prime numbers greater than 2 composite?

No. Prime numbers cannot be composite and composite numbers cannot be prime!


What are the uses of prime and composite numbers?

All composite numbers have prime factors and these are used to find the highest common factor of 2 or more numbers and they are also used in finding the lowest common multiple of 2 or more numbers. Composite numbers have 2 or more factors while prime numbers have only 2 factors which are themselves and one


Does prime factorization of composite numbers include prime and composite numbers?

No, prime factorizations consist entirely of prime numbers.


Which numbers are prime numbers and which are composite numbers from 1 to 100?

1 is special 2 prime 3 prime 4 composite 5 prime 6 composite 7 prime 8 composite 9 composite 10 composite 11 prime 12 composite ext.


Is the product of two prime numbers composite or prime?

The product of two prime numbers will be composite.


Is it true that prime numbers have to be prime and composite?

Prime numbers can not composite as - Prime number has only 2 factors whereas composite have more than 2


What is the name for the numbers that are not prime numbers?

Numbers other than prime prime numbers are composite numbers. Only whole numbers should be considered for prime & composite numbers. However, '1' is an exceptional case because it is neither prime nor composite.


Does the prime factorization of any composite number include prime and composite numbers?

Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.


Are there more composite or prime numbers?

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What numbers are prime numbers and what numbers are composite?

Prime numbers have two factors, composite numbers have more than two.


Composite relatively prime numbers mean?

Relatively prime numbers share no common factors other than 1.