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All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
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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.
Is 512 prime or composite?
512 is a composite number. Its prime factorization is 29.
Can a composite number have more than one prime factorization?
No, a composite number can't have more than one prime factorization.
Prime is writing a composite number as a product of prime numbers?
Prime factorization is writing a composite number as a product of prime numbers.
Why is 2 to the power of 3 a factorization of a prime number?
It's not. It's the prime factorization of the composite number 8.
