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Factors & Multiples

Factors & Multiples. Mrs. Walker 4 th grade math. Factor. Factors are numbers that are multiplied 8 X 8 = 64. What does “Find the factors” m ean?. …find all the numbers you can multiply together to get that number as the product.

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Factors & Multiples

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  1. Factors & Multiples Mrs. Walker 4th grade math

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

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

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

  5. 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

  6. practice Find the factors: • 18 • 24 • 21 • 52

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

  8. What are the common factors of 16 and 24? 16 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

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

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

  11. 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

  12. Practice Find the GCF: • 12 & 26 • 9 & 21

  13. 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

  14. Independent Practice Math Book Pg. 112 #s 11-18 And Pg. 113 #s 36-43

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

  16. Multiple Multiples form a skip counting pattern! 5: 5, 10, 15, 20, 25, 30…

  17. List the multiples of 7 up to 42 7: 21, 28, 35, 42… 7, 14,

  18. 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?

  19. Practice • Find the first 10 multiples of 3 • Find the first 6 multiples of 8 • Is 40 a multiple of 8? Why? • Is 63 a multiple of 5? Why?

  20. 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 9, 12, 15, 18… 3, 6, 3: 18, 24, 30, 36… 6, 12, 6:

  21. 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.

  22. 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

  23. 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 18, 24, 30, 36… 6, 12, 6: 24, 32, 40, 48… 8, 16, 8:

  24. 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.

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

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