# Prime Factorization Factors.     Numbers that are multiplied.         Example:    2 * 3 = 6      ( the 2 and the 3 are factors of 6)

Prime Number: is a number that has only two factors, itself and 1.

List of Prime Numbers up to 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

### Note: Two is the only even prime number.

Composite Numbers: Numbers that can be divided by more than two factors. Example: Factors of 12 = 1, 2, 3, 4, 6, 12 Composite Numbers =  4, 6, 8, 10, 12, 14, 16, 18, 20, …

Neutral number: 1 is a number that isn’t prime nor composite.

One is not Prime (because it does not have exactly two different factors).

One is not Composite (because it does not have more than 2 factors).

Prime Factorization: A way to write a composite number as the product of its prime factors. Example:  12 = 2 x 2 x 3 = 2² x 3

## Prime Factorization using the Ladder method:

Using the smallest primes, divide until you reach 1 ## Prime Factorization using the Factor Tree Method

2. Choose any two factors of this number and attach them to the original number with “branches.”

3. If one of these numbers is prime, circle it.

4. Continue decomposing numbers until only prime numbers are left. ### FA22 Greatest Common Factor (GCF) 2 Factors Help