What is the prime factorization?
Prime Factorization, definition:
Example: What are the prime factors of 6?
We write 6 as the product of 2 and 3:
Both 2 and 3 are prime numbers.
We have got the product of the two prime numbers. This means that the prime factorization of 6 is complete.
Example: What are the prime factors of 12?
We write 12 as the product of 3 and 4:
3 is a prime number.
But 4 is not a prime number.
4 can be written as the product of 2 and 2:
2 is a prime number.
Thus, the number 12 can be written as
Here all the factors of 12 are prime numbers.
The prime factorization of 12 is complete.