A number that divides evenly into a larger number without a remainder Factor- A number that divides evenly into a larger number without a remainder Lesson 7 - Attachment A

For Example . . . Factors of 12 = 1,2,3,4,6,12 Lesson 7 - Attachment A

A whole number greater than 1 with only two factors – 1 and itself Prime Number- A whole number greater than 1 with only two factors – 1 and itself Lesson 7 - Attachment A

For Example . . . 3 is prime 17 is prime Lesson 7 - Attachment A

So what do you think PRIME FACTORIZATION means? Lesson 7 - Attachment A

Decomposing (breaking down) a composite number into the product of its prime factors Lesson 7 - Attachment A

Fundamental Theorem of Arithmetic – Every number greater than 1 can be represented only ONE WAY as a product of its prime numbers Lesson 7 - Attachment A

This means each number greater than one has only one prime factorization Lesson 7 - Attachment A

For Example . . . 12 12 6 4 2 3 3 2 2 2 3×2×2 = 3×22 3×2×2 = 3×22 Lesson 7 - Attachment A

For Example . . . 36 36 4 9 6 6 2 3 2 2 2 3 3 3 3×3×2×2 = 32×22 3×3×2×2 = 32×22 Lesson 7 - Attachment A

Lets Practice 1) 20 2) 8 3) 24 4) 50 5) 44 6) 100 Lesson 7 - Attachment A