1. 5 Minute Check Complete in your notes.
Find all pairs of whole numbers that can be multiplied together to get the following. 42 24
Create a 10 term skip count list for the following numbers. 5 8

2. 5 Minute Check Complete in your notes.
Find all pairs of whole numbers that can be multiplied together to get the following. 42

3. 5 Minute Check Complete in your notes.
Find all pairs of whole numbers that can be multiplied together to get the following. 42
1 x 42, 2 x 21, 3 x14, 6 x 7
In order:
1, 2, 3, 6, 7, 14, 21, 42
42 has 8 factors

4. 5 Minute Check Complete in your notes.
Find all pairs of whole numbers that can be multiplied together to get the following.

5. 5 Minute Check Complete in your notes.
Find all pairs of whole numbers that can be multiplied together to get the following. 24
1 x 24, 2 x 12, 3 x 8, 4 x 6
In order
1, 2, 3, 4, 6, 8, 12, 24
24 has 8 factors

6. 5 Minute Check Complete in your notes.
Create a 10 term skip count list for the following numbers. 5

7. 5 Minute Check Complete in your notes.
Create a 10 term skip count list for the following numbers. 5
5, 10, 15, 20, 25, 30, 35, 40, 45, 50

8. 5 Minute Check Complete in your notes.
Create a 10 term skip count list for the following numbers.
4. 8

9. 5 Minute Check Complete in your notes.
Create a 10 term skip count list for the following numbers. 8
8, 16, 24, 32, 40, 48, 56, 64, 72, 80

10. Lesson 1.1 Factors and Multiples
Wednesday, Oct 12
Lesson 1.1 Factors and Multiples

11. Factors and Multiples
Objective: To find the Greatest Common Factor and the Least Common Multiple.

12. Factors and Multiples
A common factor is a number that is a factor of two or more numbers. e.g. A common factor of 12 and 10 is 2, because 2 x 6 = 12 and 2 x 5 = 10

13. Factors and Multiples
A common factor is a number that is a factor of two or more numbers. The greatest of the common factors of two or more numbers is called the greatest common factor (GCF).

14. Factors and Multiples
Greatest Common Factor would be the largest number that is in all factor rainbows of two or more numbers.

15. Factors and Multiples

16. Factors and Multiples
What is the GCF of 12 and 30?
How to Find the GCF
Step 1 – Make a factor rainbow for each number.
(Hint: The first factor in a factor rainbow will always be a 1)

17. Factors and Multiples
What is the GCF of 12 and 30?
How to Find the GCF
Step 1 – Make a factor rainbow for each number.
12:

18. Factors and Multiples
What is the GCF of 12 and 30?
How to Find the GCF
Step 1 – Make a factor rainbow for each number.
12: 1, 2, 3, 4, 6, 12

19. Factors and Multiples
What is the GCF of 12 and 30?
How to Find the GCF
Step 1 – Make a factor rainbow for each number.
12: 1, 2, 3, 4, 6, 12
30:

20. Factors and Multiples
What is the GCF of 12 and 30?
How to Find the GCF
Step 1 – Make a factor rainbow for each number.
12: 1, 2, 3, 4, 6, 12
30:1, 2, 3, 5, 6, 10, 15, 30

21. Factors and Multiples
What is the GCF of 12 and 30?
How to Find the GCF
Step 2 – Circle the greatest number that is in all lists.
12: 1, 2, 3, 4, 6, 12
30:1, 2, 3, 5, 6, 10, 15, 30

22. Factors and Multiples
What is the GCF of 12 and 30?
How to Find the GCF
Step 2 – Circle the greatest number that is in all lists.
12: 1, 2, 3, 4, 6, 12
30:1, 2, 3, 5, 6, 10, 15, 30
The GCF of 12 and 30 is 6.

23. Factors and Multiples
What is the GCF of 15 and 21? Step 1 – ?

24. Factors and Multiples
What is the GCF of 15 and 21?
15:1, 3, 5, 15
21: 1, 3, 7, 21
Step 2 – ?

25. Factors and Multiples
What is the GCF of 15 and 21? 15:1, 3, 5, 15 21: 1, 3, 7, 21 The GCF of 15 and 21 is 3.

26. Factors and Multiples
What is the GCF of 12 and 24? Do this on your own.

27. TRY THIS FIRST! Factors and Multiples What is the GCF of 12 and 24?
Mr. Avery’s GCF Rule – If the smaller number goes into the larger number, the smaller number is the GCF.
TRY THIS FIRST!

28. Factors and Multiples
What is the GCF of 12 and 24? 12: 1, 2, 3, 4, 6, 12 24: 1, 2, 3, 4, 6, 8, 12, 24

29. Factors and Multiples
What is the GCF of 28, 42 and 56. Do this on your own.

30. Factors and Multiples
What is the GCF of 28, 42 and : 1, 2, 4, 5, 14, 29 42: 1, 2, 3, 6, 7, 14, 21, 42 56; 1, 2, 7, 8, 28, 56 The GCF of 28, 42 and 56 is 2.

31. Factors and Multiples
What is the GCF of 28, 42 and : 1, 2, 4, 5, 14, 29 42: 1, 2, 3, 6, 7, 14, 21, 42 56; 1, 2,4, 7, 8, 14, 28, 56 The GCF of 28, 42 and 56 is 14.

32. Factors and Multiples
What is the GCF of 6 and 12? Do this on your own.

33. Factors and Multiples
What is the GCF of 6 and 12? Mr. Avery’s Rule - Since 6 x 2 = 12 The GCF of 6 and 12 is 6. You can prove this by factor lists. 6; 1, 2,3, 6 12; 1, 2, 3, 4, 6, 12

34. Factors and Multiples
Why do some numbers have an odd number of factors?

35. Factors and Multiples
You are planting flowers in your garden in rows. The flowers must be put into rows so that each row contains the same number of flowers without mixing the flowers. What is the greatest number of flowers that can be put in a row?
Flowers
Number of Flowers
Lily 8
Begonia 16
Daisy 20

36. Factors and Multiples
You are planting flowers in your garden in rows. The flowers must be put into rows so that each row contains the same number of flowers without mixing the flowers. What is the greatest number of flowers that can be put in a row? L:1, 2,4,8 B: 1, 2, 4, 8, 16 D: 1, 2, 4, 5, 10, 20
Flowers
Number of Flowers
Lily 8
Begonia 16
Daisy 20

37. Factors and Multiples
You are planting flowers in your garden in rows. The flowers must be put into rows so that each row contains the same number of flowers without mixing the flowers. How many rows are needed for each type of flower?
Flowers
Number of Flowers
Lily 8
Begonia 16
Daisy 20

38. Factors and Multiples
You are planting flowers in your garden in rows. The flowers must be put into rows so that each row contains the same number of flowers without mixing the flowers. How many rows are needed for each type of flower? L: 8÷ 4 = 2 B: 16÷ 4 = 4 D: 20÷ 4 = 5
Flowers
Number of Flowers
Lily 8
Begonia 16
Daisy 20

39. Factors and Multiples
Lana earned $49 on Friday, $42 on Saturday, and $21 on Sunday selling bracelets. She sold each bracelet for the same amount. What is the most she could have charged for each bracelet? Do this on your own.

40. The most she could have charged for each bracelet was $7.
Factors and Multiples
Lana earned $49 on Friday, $42 on Saturday, and $21 on Sunday selling bracelets. She sold each bracelet for the same amount. What is the most she could have charged for each bracelet?
49: 1, 7, 49
42: 1, 2, 6, 7, 21, 42
21: 1, 3, 7, 21
The most she could have charged for each bracelet was $7.

41. Factors and Multiples
Lana earned $49 on Friday, $42 on Saturday, and $21 on Sunday selling bracelets. She sold each bracelet for the same amount. What is the most she could have charged for each bracelet? If she sold them for $7, how many did she sell on Friday?

42. Factors and Multiples
Lana earned $49 on Friday, $42 on Saturday, and $21 on Sunday selling bracelets. She sold each bracelet for the same amount. What is the most she could have charged for each bracelet? If she sold them for $7, how many did she sell on Friday? $49 ÷ $7 = 7 bracelets

43. Factors and Multiples
The GCF is also the largest number that can go into the numerator and denominator of a fraction to simplify.

44. Factors and Multiples
We found earlier the GCF of 12 and 16 is 4 That means with 𝟏𝟐 𝟏𝟔 we can divide both numbers by 4 to simplify. 𝟏𝟐÷𝟒 𝟏𝟔÷𝟒 = 𝟑 𝟒

45. Factors and Multiples
The least non-zero number that is a multiple of two or more whole numbers is the least common multiple (LCM) of those numbers.

46. Factors and Multiples
Least Common Multiple would be the smallest number that is in all multiple lists.

47. Factors and Multiples
Find the LCM of 2 and 3. Find the LCM Step 1 – Make a multiples list (skip counting) for each number. What is the multiples list of 2?

48. Factors and Multiples
Find the LCM of 2 and 3. Find the LCM Step 1 – Make a multiples list (skip counting) for each number. 2; 2, 4, 6, 8, 10….. What is the multiples list of 3?

49. Factors and Multiples
Find the LCM of 2 and 3. Find the LCM Step 1 – Make a multiples list (skip counting) for each number. 2; 2, 4, 6, 8, 10….. 3; 3, 6, 9, 12, 15…..

50. Factors and Multiples
Find the LCM of 2 and 3. Find the LCM Step 2 – Circle the smallest number that is in all lists. 2; 2, 4, 6, 8, 10….. 3; 3, 6, 9, 12, 15…..

51. Factors and Multiples
Find the LCM of 2 and 3. Find the LCM Step 2 – Circle the smallest number that is in all lists. 2; 2, 4, 6, 8, 10….. 3; 3, 6, 9, 12, 15….. The LCM of 2 and 3 is 6.

52. Factors and Multiples
Find the LCM of 2 and 3. The LCM of 2 and 3 is 6.

53. Factors and Multiples
Find the LCM of 3 and 5. Step 1 ?

54. Factors and Multiples
Find the LCM of 3 and 5. 3: 3, 6, 9, 12, 15, 18…… 5: 5, 10, 15, 20, 25, 30…….. Step 2?

55. Factors and Multiples
Find the LCM of 3 and 5. 3: 3, 6, 9, 12, 15, 18…… 5: 5, 10, 15, 20, 25, 30…….. The LCM of 3 and 5 is 15.

56. Factors and Multiples
Find the LCM of 3 and 12. Do this on your own.

57. Factors and Multiples
Find the LCM of 3 and 12. Mr. Avery’s LCM Rule – If the smaller number goes into the larger number(s), the larger number is the LCM.

58. Factors and Multiples
Find the LCM of 3 and 12. 3: 3, 6, 9, 12, 15, 18…… 12: 12, 24, 36, 48, 60,…….. The LCM of 3 and 12 is 12.

59. Factors and Multiples
Find the LCM of 4, 5 and 6. Do this on your own.

60. Factors and Multiples
Find the LCM of 4, 5 and 6. 4: 4, 8, 12, 16, 20 , 24, 30…. 5: 5, 10, 15, 20, 25, 30, 35….. 6: 6, 12, 18, 24, 30…… The LCM of 4, 5, and 6 is 30.

61. Factors and Multiples Find the LCM of 4, 5 and 6.
4: 4, 8, 12, 16, 20 , 24,28, 32,36,40,44,48,52,56,60...
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60…..
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60……
The LCM of 4, 5, and 6 is 60.

62. Factors and Multiples
Ernesto has painting class every 2 weeks. Kamala has a pottery class every 5 weeks. Ernesto and Kamala met at the art building for class this week. How many weeks will it be until they see each other again?

63. Factors and Multiples
Ernesto has painting class every 2 weeks. Kamala has a pottery class every 5 weeks. Ernesto and Kamala met at the art building for class this week. How many weeks will it be until they see each other again? E: 2, 4, 6, 8, 10, 12, 14……. K: 5, 10, 15, 20, 25……. They will meet again in 10 weeks.

64. Factors and Multiples
Agenda Notes Skills Practice 1.1 Due by the end of class Mid Chapter 1 Quiz Tuesday, Oct 25 Retakes Thursday after school All missing assignments are due tomorrow! You will also need your text book tomorrow!