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NS 4.1 Understand that many whole numbers break down in different ways (e.g., 12 4 3 2 6 2 2 x 3). UNDERLYING SKILLS AND CONCEPTS: multiplication basic facts; meaning of multiplication Find the Factors of a Number E x am p l E E x am p l E a Every whole number greater than 1 has at least two factors, 1 and itself. Many whole numbers have more than two factors. 1 Find all the factors of 15. Remember the multiplication basic facts: 2 Find all the factors of 18. You can find factors on a multiplication table. Find all the 18s. Note the factors for each. 1 15 15 3 5 15 So, the factors of 15 are: 1, 3, 5, and 15 Factor Factor Product ltip Mu 0 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 7 8 9 10 2 0 2 4 6 8 10 12 14 16 18 20 3 0 3 6 9 12 15 18 21 24 27 30 4 0 4 8 12 16 20 24 28 32 36 40 5 0 5 10 15 20 25 30 35 40 45 50 6 0 6 12 18 24 30 36 42 48 54 60 7 0 7 14 21 28 35 42 49 56 63 70 8 0 8 16 24 32 40 48 56 64 72 80 9 0 9 18 27 36 45 54 63 72 81 90 0 ly 10 0 10 20 30 40 50 60 70 80 90 100 Multiply Mrs. Multiply page 98 1 12 12 and 2 6 12. So 1, 2, 3, 4, 6, and 12 are all factors of 12. 1 18, 2 9, 3 6 Factors of 18 are: 1, 2, 3, 6, 9, and 18. Chapter 9 – Lesson 1 D – © CSL Associates, Inc. All rights reserved. K The numbers that are multiplied together to ey Ide obtain a product are factors. 3 4 12 So, 3 and 4 are two factors of 12. Name P RAC T I C E D – © CSL Associates, Inc. All rights reserved. List all of the ways to factor each number. 1. 2 12 2. 3 13 3. 4 1 4; 2 2 4. 5 15 5. 6 1 6; 2 3 6. 8 1 8; 2 4 7. 10 1 10; 2 5 8. 14 1 14; 2 7 9. 16 1 16; 2 8; 4 4 10. 20 1 20; 2 10; 4 5 11. 22 1 22; 2 11 12. 24 1 24; 2 12; 3 8; 4 6 Answer Yes or No to the questions. Explain how you decided. 13. Does every number always have 1 as one of its factor? Yes 14. Does a number always have itself as a factor? Yes 15. Are there any numbers that do not have any factors? No 16. Can a number have only one factor (hint: try number 1)? Yes 17. Are there any numbers that have only 2 factors? Yes 18. Are there any numbers that have more than 5 factors? Yes Math Reasoning Mystery Number 19. I am the largest number that is a factor of both 12 and 18. Who am I? Chapter 9 – Lesson 1 MR 1.1 6 page 99 MCX94.HW.CL.G4.FM&Lesson.v211 8/2/04 19:16 Page 66 Name P RAC T I C E …at home! 1. 4 1 4; 2 2 2. 6 1 6; 2 3 3. 7 17 4. 8 1 8; 2 4 5. 9 1 9; 3 3 6. 10 1 10; 2 5 7. 12 1 12; 2 6; 3 4 8. 16 1 16; 2 8; 4 4 9. 20 1 20; 2 10; 4 5 10. 21 1 21; 3 7 11. 24 1 24; 2 12; 3 8; 4 6 12. 28 1 28; 2 14; 4 7 D – © CSL Associates, Inc. All rights reserved. List all of the ways to factor each number. Answer Yes or No to the questions. Explain how you decided. 13. Are there any numbers that have only 2 factors? 14. Can a number have only one factor (hint: try number 1)? 15. Are there any numbers that have more than 5 factors? Yes Yes; 1 Yes; 24 16. Does a number always have itself as a factor? Yes 17. Does every number always have 1 as one of its factor? Yes 18. Are there any numbers that do not have any factors? No Math Reasoning Mystery Number 19. I am the largest number that is a factor of both 18 and 27. Who am I? page 66 Home Resource and Homework MR 1.1 9 Chapter 9 Lesson 1