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Prime Factorization Prime Number: A prime number is a whole number, greater than 1 that can be evenly divided by 1 and itself. Examples of prime numbers: 2, 3, 5, 7, 11, 13,... Factors: The factors of a number are numbers that when you multiply them together you get the original number. Example: Two factors of 8 are 2 and 4. 2 x 4 = 8 Two factors of 10 are 2 and 5. 2 x 5 = 10 Three factors of 30 are 2, 5, and 3. 2 x 5 x 3 = 30 Prime Factorization: Is when you find all the factors of a number that are prime. Example: What is the prime factorization of 12. 12 2 x 6 2 2 x 2 x 3 = 12 x 3 or Discussion: Prime numbers may at first appear to be something that has no value, but in prime factorization, this will help you get the Greatest Common Factor (GCF), the Least Common Multiple (LCM), and other things in math. Prime Numbers: Below is a listing of the first 50 prime numbers 2 31 73 127 179 3 37 79 131 181 5 41 83 137 191 7 43 89 139 193 11 47 97 149 197 13 53 101 151 199 17 59 103 157 211 19 61 107 163 223 23 67 109 167 227 29 71 113 173 229