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**Mrs. Walker 4th grade math**

Factors & Multiples Mrs. Walker 4th grade math

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**Factors are numbers that are multiplied 8 X 8 = 64**

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What does “Find the factors” mean? …find all the numbers you can multiply together to get that number as the product.

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**EVERY number greater than 1 has the number 1 and itself as a factor.**

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**Always write factors from least to greatest.**

What are the factors of 27? Remember, you are being asked to find all the numbers that can be multiplied together to get the answer 27. 27: 1 X 27 3 X 9 HINT: Always write factors from least to greatest. 1, 3, 9, 27

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practice Find the factors: 18 24 21 52

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**Factors that two or more numbers have in common**

Common Factors What does COMMON mean? What does FACTORS mean? So….. COMMON FACTORS are: Factors that two or more numbers have in common

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**What are the common factors of 16 and 24?**

1 X 16 2 X 8 4 X 4 24 1 X 24 2 X 12 3 X 8 4 X 6 Hint: Once you repeat a number you’re done!! 16: 1, 2, 4, 8, 16 24: 1, 2, 3, 4, 6, 8, 12, 24 Common Factors: 1, 2, 4, 8

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Practice What are the common factors of: 6 & 9 24 & 48 25 & 45

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**Greatest Common Factor**

The greatest factor that both numbers have in common. GCF = Greatest Common Factor

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Find the GCF 9 1 x 9 3 x 3 9 : 1,3,9 12 1 x 12 2 x 6 3 x 4 12: 1,2,3,4,6,12

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Practice Find the GCF: 12 & 26 9 & 21

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**White board Practice List the factors: 36 18 27**

List the common factors: 18, 22 52, 36 14, 9 List the GCF: 25, 40 30, 42

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**Math Book Pg. 112 #s 11-18 And Pg. 113 #s 36-43**

Independent Practice Math Book Pg. 112 #s And Pg. 113 #s 36-43

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Multiples A multiple is the product of a given whole number and another whole number. 4: 4, 8, 12, 16, 20, 24…

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**Multiples form a skip counting pattern!**

5: 5, 10, 15, 20, 25, 30…

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**List the multiples of 7 up to 42**

7: 7, 14, 21, 28, 35, 42…

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**Example: Is 108 a multiple of 6? You use the INVERSE OPERATION**

of multiplication to see if a specific number is a multiple of the given number. Example: Is 108 a multiple of 6?

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**Practice Find the first 10 multiples of 3**

Is 40 a multiple of 8? Why? Is 63 a multiple of 5? Why?

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**A multiple that 2 or more numbers have in common.**

Common Multiple A multiple that 2 or more numbers have in common. Example: Find the first 3 common multiples of 3 and 6. CM: 6, 12, 18 3: 3, 6, 9, 12, 15, 18… 6: 6, 12, 18, 24, 30, 36…

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**Is 36 a common multiple of 6 and 9?**

What strategy would you use? That’s Right! Division 36 ÷ 6= ? 36 ÷ 9=? Yes! 36 is a common multiple of 6 and 9.

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Practice 1. Is 42 a common multiple of 6 and 9? List 10 multiples of each number and circle the common multiples. 2. 3 and 6 3. 4 and 12 4. 2 and 5

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Least Common Multiple The smallest multiple that 2 or more numbers have in common. LCM = Least Common Multiple Example: Find least common multiples of 6 and 8. LCM: 24 6: 6, 12, 18, 24, 30, 36… 8: 8, 16, 24, 32, 40, 48…

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**White board Practice List the first 5 multiples of each number. 2 4**

3. Name the LCM of the following numbers: 20 and 5 4. How many common multiples less than 50 do 8 and 9 have? Name them.

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Independent Practice MB pg. 112 #s And MB pg. 113 #s 44-52

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