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Factors and Multiples

Factors and Multiples. Mrs. Carter 4 th grade math. Factor. Factors are numbers that are multiplied 8 X 8 = 64. All numbers greater than 1 has 1 and itself as a factor. What are the factors of 27?. 27 1 X 27 = 27 3 X 9 = 27 27: 1, 3, 9, 27 (Write the factors least to greatest).

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Factors and Multiples

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  1. Factors and Multiples Mrs. Carter 4th grade math

  2. Factor Factors are numbers that are multiplied 8 X 8 = 64

  3. All numbers greater than 1 has 1 and itself as a factor

  4. What are the factors of 27? 27 1 X 27 = 27 3 X 9 = 27 27: 1, 3, 9, 27 (Write the factors least to greatest)

  5. practice Find the factors. • 18 • 24 • 21 • 52

  6. Common Factor Factors that two or more numbers have in common

  7. What are the common factors of 16 and 24? 16 1 X 16 = 16 2 X 8 = 16 4 X 4 = 16 Once you repeat a number you’re done!! 24 1 X 24 = 24 2 X 12 = 24 3 X 8 = 24 4 X 6 = 24

  8. Practice What are the common factors of: • 6, 9 • 24, 48 • 25, 45

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

  10. Find the GCF 9 1 X 9 = 9 3 X 3 = 9 9 : 1,3,9 12 1 X 12 = 12 2 X 6 = 12 3 X 4 = 12 12: 1,2,3,4,6,12

  11. Practice Find the GCF • 12,26 • 9,21

  12. 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

  13. Independent Practice MB pg. 112 #s 11-18 And Pg. 113 #s 36-43

  14. Multiple Multiples form a skip counting pattern! • Ex. 15 is a multiple of 5 because it is made up of 3 groups of 5.

  15. Use the inverse operation of multiplication, Division To find multiples!

  16. List the multiples of 7 up to 42. 7: 0, 7, 14, 21, 28, 35, 42

  17. Is 108 a multiple of 6? Strategy:Use a division number sentence. 108 ÷ 6= (if the quotient is a whole number then 6 is a multiple.) Solution: Yes, 108 is a multiple of 6 because 108 ÷ 6= 18

  18. Practice Find 10 multiples of: • 3 • 8 • 11

  19. Common Multiple A multiple that 2 or more numbers have in common.

  20. 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.

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

  22. Least Common Multiple The lowest multiple that both numbers have in common. LCM EX. What is the LCM of 12 and 24? Strategy: List the multiples of 12 and 24. 12:12,24 24: 24

  23. 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

  24. Independent Practice MB pg. 112 #s 19-26 And MB pg. 113 #s 44-52

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