1. 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

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

3. 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

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

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

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

7. 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

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

9. 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

10. 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

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