# Get papers sit down get out homework &quietly work on bellringer Solve -4^2(-2)^3 (-3)^4.

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Get papers sit down get out homework &quietly work on bellringer Solve -4^2(-2)^3 (-3)^4

Solve -16 -8 81

Get papers sit down get out homework &quietly work on bellringer Solve -2^2(-2)^4 (-3)^3

Solve -4 16 -27

Prime Factorization 2-2

http://www.brainpop.com/math/n umbersandoperations/factoring/  Brainpop - Factoring video.. Answer the questions

http://www.brainpop.com/math/numbersandoperations/factoring/http://www.brainpop.com/math/numbersandoperations/factoring/quiz/ http://www.brainpop.com/math/numbersandoperations/factoring/ Answers: 1. C 2. D 3. B 4. A 5. A 6. D 7. C 8. B 9. C 10. A

Factor The numbers that are multiplied to get a product 15 = 3 x 5 3 and 5 are factors of 15 2 x 9 = 18 2 & 9 are factors of 18 3 x 2 =6 3 & 2 are factors of 6

Prime Number is a counting number that only has two factors, itself and one. One is not a prime 7 is a prime 5 is a prime

Composite Number Counting numbers which have more than two factors (such as six, whose factors are 1, 2, 3 and 6) One is not a composite 8 is a composite 55 is a composite

A Rhyme to Help Us Remember Prime number What do you see? I see no other factors Except for one and me. Composite number What do you see? I see at least three factors Including one and me.

12345678910 11121314151617181920 21222324252627282930 31323334353637383940 41424344454647484950 51525354555657585960 61626364656667686970 71727374757677787980 81828384858687888990 919293949596979899 100 All of the orange numbers on this chart are prime. Write them down. Refer to them so you don’t waste time trying to factor them.

Prime Factorization When a composite number is written as a product of all of its prime factors Using the Factor Tree 78 / \ 2 x 39 / / \ 2 x 3 x 13

Let’s Try a Factor Tree! 84 84 / \ / \ 2 x 42 2 x 42 / / \ / / \ 2 x 2 x 21 2 x 2 x 21 / / / \ / / / \ 2 x 2 3 x 7 2 x 2 3 x 7

Factor Trees do not look the same for the same number, but the final answer is the same. 72 72 / \ / \ 8 x 9 8 x 9 / \ / \ / \ / \ 2 x 4 x 3 x 3 2 x 4 x 3 x 3 / \ / \ 2 x 2 x 2 x 3 x 3 2 x 2 x 2 x 3 x 3 72 72 / \ / \ 2 x 36 2 x 36 / / \ / / \ 2 x 2 x 18 2 x 2 x 18 / / / \ / / / \ 2 x 2 x 2 x 9 2 x 2 x 2 x 9 / / / / \ / / / / \ 2 x 2 x 2 x 3 x 3 2 x 2 x 2 x 3 x 3

Greatest Common Factor The largest common factor of 2 or more numbers Use prime factorization or ladder to find GCF GCF of 24 and 36 Is 12 GCF of 72 and 84 Is 12

Prime Factorization is helpful for finding greatest common factors. 72 72 / \ / \ 8 x 9 8 x 9 / \ / \ / \ / \ 2 x 4 x 3 x 3 2 x 4 x 3 x 3 / \ / \ 2 x 2 x 2 x 3 x 3 2 x 2 x 2 x 3 x 3 Take the common prime factors of each number and multiply to find the greatest common factor. 84 84 / \ / \ 2 x 42 2 x 42 / / \ / / \ 2 x 2 x 21 2 x 2 x 21 / / / \ / / / \ 2 x 2 3 x 7 2 x 2 3 x 7 2 x 2 x 3 = 12

Least Common Multiple The smallest product that both numbers have in common LCM of 4 & 10 is 20 LCM of 5 & 7 Is 35 LCM of 12 & 15 Is 60

Use the Ladder for LCM, GCF and Simplifying Fractions WRITE  WRITE the two numbers on one line.  DRAW THE L SHAPE  DIVIDE out common prime numbers starting with the smallest 722 84 36242 18321 6 7  LCM makes an L: LCM = 2  2  3  6  7 = 504 GCF = 2  2  3 = 12 84 72 = 7 6 GCF is down the left side: Simplified fraction Simplified fraction is on the bottom

Use the Ladder for LCM, GCF and Simplifying Fractions WRITE  WRITE the two numbers on one line.  DRAW THE L SHAPE  DIVIDE out common prime numbers starting with the smallest 242 36 12218 639 2 3  LCM makes an L: LCM = 2  2  3  2  3 = 72 GCF = 2  2  3 = 12 36 24 = 3 2 GCF is down the left side: Simplified fraction Simplified fraction is on the bottom

Use the Ladder for LCM, GCF and Simplifying Fractions WRITE  WRITE the two numbers on one line.  DRAW THE L SHAPE  DIVIDE out common prime numbers starting with the smallest 6 3 9 23  LCM makes an L: LCM = 3  2  3 = 18 GCF = 3 9 6 = 3 2 GCF is down the left side: Simplified fraction Simplified fraction is on the bottom

Use the Ladder for LCM, GCF and Simplifying Fractions WRITE  WRITE the two numbers on one line.  DRAW THE L SHAPE  DIVIDE out common prime numbers starting with the smallest 5 7 57  LCM makes an L: LCM = 5 x 7 = 35 GCF = 1 7 5 = 7 5 GCF is down the left side: Simplified fraction Simplified fraction is on the bottom 1

HOMEWORK  PG 77 4 – 40 evens only 8-16 use ladder 26-32 use factor trees 34-40 use ladder method

HOMEWORK  Ps 2-2 evens only 2-14 ladder 20-26 factor tree use exponents 28-34 ladder

Resources  Brain Pop – Prime Factors Prime FactorsPrime Factors  Brain Pop - Prime Numbers Prime NumbersPrime Numbers  Brain Pop - Exponents Exponents

Interactive Practice for Factor Trees 1. Virtual Manipulatives Virtual Manipulatives Virtual Manipulatives 2. Interactive Practice 1 Interactive Practice 1 Interactive Practice 1 3. Interactive Practice from MathPlayground.com Interactive Practice from MathPlayground.com Interactive Practice from MathPlayground.com

The Birthday Cake Method a.k.a. The Box Method An alternative to factor trees A video from YouTube A video from YouTube

Challenge Problem  Use what you know about multiplying whole numbers by variables and exponents to make a factor tree for the following monomial 45x 3 4545 x3x3 xxx5 9 3 3