1. August 14, 2013
Homework:
Computation Sheet Column H & Addison Sheet p. 28 #’s 13-23
Warm-up:
Identify whether the numbers given are prime or composite 19 9 20 37

2. Prime Factorization, Greatest Common Factor, & Least Common Multiple
Take Notes on pg 15

3. The Essential Question
How can I determine the prime factorization for a number? 2 3 5 10 6
180 18

4. Factors
Factors are numbers you can multiply together to get another number.
A number can have many factors
Characteristics
Requires at least two numbers
They create numbers
Examples
2 x 3 = 6 2 & 3 are factors

5. Factors http://www.mathsisfun.com/definitions/factor.html
Non-Examples:
2 x 3 = 6
6 is a multiple not a factor
3 x 4 = 12
12 is a multiple not a factor

6. Prime Factorization
Definition: is finding which prime numbers multiply together to make the original number.
Characteristics:
Can only be a prime number
Can only be a factor
Examples:
Prime factorization of 12: 2x2x3

7. Prime Factorization
Non-Example:
8x5
3x3x4x5

8. Solving for Prime Factorization, GCF, and LCM.
There are 2 Ways determine the prime factors
Factor Tree Method
Stacked Method
Determining the GCF and LCM
GCF
LCM

9. Determining the Prime Factors using the Factor Tree Method
Lesson #1

10. Factor Tree Method 96 × 12 The CORRECT answer: 4 × 2 2 × 6 2 × 2 2 × 3
× 12
4 × × 6
2 × × 3
2×2×2×2×2×3 = 96
The CORRECT answer:
must be only PRIME numbers
must multiply to give the specified quantity

11. Factor Tree Method cont.
There is more than one way to solve the same problem 96
× 12
4 × × 6
2 × × 3
96= 2×2×2×2×2×3 96
4 × 24
2 × × 4
2 × × 2
96= 2×2×2×2×2×3

12. Your Turn!! 14 7 ? 2 50 25 5 2 ? Prime Factorization for 14

13. Determining the Prime Factors using The Stacked Method
Lesson #2

14. The Stacked Method
Begin by dividing the specified quantity by any PRIME number that divides equally, (hint; if it is even try dividing by 2)
Reduce the quotient, dividing again by a PRIME number
Continue reducing the quotient until both the divisor and the quotient are prime numbers.
Re-write the prime numbers as a multiplication problem. (if the final quotient is 1 it doesn’t need included in the answer)
The CORRECT answer:
must be only prime numbers
must multiply to give the specified quantity

15. Stacked Method Find the Prime Factorization for 62

16. Exit Ticket Write Inman Style on the card
Complete Prime Factorization for 72

17. Determining the Least Common Multiple Of Two Composite Numbers
Lesson #3

18. Solving for the Least Common Multiple36
3 × 12
3 × 4
2 × 2
2 × 2 × 3 × 3 = 36 54
6 × 9
2 × × 3
2 × 3 × 3 × 3 = 54

19. Determining the Greatest Common Factor Of Two Composite Numbers
Lesson #4

20. Solving for the Greatest Common Factor
Find the prime factorization of the given quantities
Determine what factors they have in common.
36 3 × 12 3 × 4 2 × 2 2 × 2 × 3 × 3 = 36
54 6 × 9 3 × 2 3 × 3 2 × 3 × 3 × 3 = 54

21. Activities for Your Portfolio
Assessment
Activities for Your Portfolio