Unit 1; Part 2: Using Factors for Fractions and Solving Problems You need to be able to find the GCF, LCM and solve problems using them.

Advanced Homework Answers – pp (3 x 17)16. Composite 5. Prime17. Composite 6. Composite18. Prime 7. Prime19. Prime 13. Composite20. Prime 14. Composite42. False; 2 is prime. 15. Prime51. Composite

Unit 1, Lesson 8 – Advanced Prime Factorization Assignment – pp ; #3, odd, 39-41,

Review Prime Numbers- A Prime number is a whole number with only 2 factors, one and itself. A Composite number is a number that has more than two factors. Examples: 2, 3, 5, 7, 11, 13, 17, 19… Composite Numbers- Example: 4, 6, 8, 9, 10, 12, 14, 15…

Prime Factorization Prime Factorization is the unique set of prime numbers whose product equals a given composite number. To find the prime factorization, the number must be split up using a factor ladder. No factor trees allowed!

Factor Ladders Use primes IN ORDER.

 Write the number to be factored with an upside down division sign.  Begin with 2. Divide until the number is odd.  Move on to 3, then 5, then 7, etc.  When you get to 1, you are through.  The numbers down the side are the prime factorization.  They are already in order.

) ) 2 ) ) x 3

2 3 x ) ) 2 ) ) 5 2 ) 5

2 x 3 3 x ) ) 3 ) ) 5 3 ) 3

3 x 5 x 7 x ) ) 5 ) ) 7

Factor Ladders Find the prime factorization of 24. The prime factorization is 2 3 x 3

Factor Ladders Find the prime factorization of 50. The prime factorization is 2 x 5 2

Factor Ladders Find the prime factorization of 252. The prime factorization is 2 2 x 3 2 x 7

Factor Ladders Find the prime factorization of 144. The prime factorization is 2 4 x 3 2

Factor Ladders Find the prime factorization of The prime factorization is 3 x 5 x 7 x 11

Example 1-3a Find the prime factorization of 100. Answer: The prime factorization of 100 is

Example 1-3b Find the prime factorization of 72. Answer:

Factor Ladders To finish a factorization: 2 x x 5 = 270 Divide by the numbers you have. 270 ÷ 2 = 135 ÷ 5 = 27 Write using primes. 27 = 3 3

Find the value of the. x 5 x 11 = ÷ 5 = 88 ÷ 11 = 8 8 = 2 3

Factor Ladders If you are asked to factor an algebraic expression, write the number in primes, then include the variables one at a time. Example: 24ab 2 c = a b b c

Example 1-4a ALGEBRA Factor Answer:

Example 1-4b ALGEBRA Factor Answer:

Note Cards for Unit 1-Lesson Prime Factorization A unique set of prime numbers whose product equals a given composite number. Example: 24 = 2 3 x 3

End of Slide Show

Advanced Homework Answers pp is not prime · · · 3 · 5 · ft · 3 2 · · 3 · Composite46. 2 by 3 or 2 by · 2 · 5 · p · q x3’s or 12 2x5’s · 7 · y · y48. Prime if n = 1; ·2 ·2 ·2 ·3 ·a ·a ·b ·b Composite if n > 1 since 2 is a factor of each.