42 can be divided exactly by 14 and 3. can be divided exactly by and. is a product of 12 and 3. is a product of 8 and 12. and are factors of.
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1 Worksheet 2 Factors Write the missing numbers can be divided exactly by 14 and can be divided exactly by 21 and can be divided exactly by and. Write the missing numbers is a product of 12 and and 3 are factors of is a product of 8 and 12. and are factors of. Whole numbers can be broken into factors. is a product of 26 and 4. and are factors of. Reteach 4A 23
2 Find the quotient. Then write the missing words Can 12 be divided exactly by 4? Yes 3 Is 4 a factor of 12? Yes When a number is divided exactly by another number, there is no remainder. 12 is divided exactly by 4. This means that 4 is a factor of Can 14 be divided exactly by 5? Is 5 a factor of 14? Can 18 be divided exactly by 6? Is 6 a factor of 18? Can 28 be divided exactly by 7? Is 7 a factor of 28? 24 Chapter 2 Lesson 2.2
3 Find the factors of each number The factors of 8 are 1, 2, 4, and 8. A whole number can be written as a product of factors The factors of 24 are,,,,,,, and The factors of 54 are,,,,,,, and. Reteach 4A 25
4 The factors of 72 are,,,,, ,,,,,, and. The factors of 108 are,,,,,,,,,,, and. 26 Chapter 2 Lesson 2.2
5 Divide. Then answer each question R 1 8 A common factor is a factor that is shared by two or more numbers. Is 2 a common factor of 15 and 16? No Is 3 a common factor of 48 and 52? Is 5 a common factor of 70 and 95? Is 8 a common factor of 45 and 96? Reteach 4A 27
6 Find the factors of each pair of numbers. Then circle the common factors. 12 and 21 12: 1, 2, 3, 4, 6, 12 21: 1, 3, 7, 21 Which of the circled common factors is the greatest? and 28 21: 28: Which of the circled common factors is greatest? and 42 32: 42: Which of the circled common factors is the greatest? and 72 48: 42: Which of the circled common factors is the greatest? 28 Chapter 2 Lesson 2.2
7 Find the greatest common factor of each pair of numbers. 16 and 24 Step 1 Divide 16 and 24 by a common factor. 2 16, 24 8, , Step 2 Divide until 16 and 24 cannot be divided by a common factor other than , , , 6 2, 3 2 and 3 have no common factor other than 1. Step 3 Multiply the common factors The greatest common factor is 8. Reteach 4A 29
8 and and , 24 36, 42,,,,, The greatest common factor is. The greatest common factor is and and 42 Answer the questions using these numbers Which of the numbers have 2 as a factor? 10, 24, 36, and Chapter 2 Lesson 2.2
9 22. Which of the numbers have 3 as a factor? 23. Which of the numbers have 5 as a factor? 24. Which of the numbers have 3 and 5 as factors? Find the factors of each number. Then decide whether the number is a prime number The factors of 17 are 1 and 17. So, 17 is a prime number A prime number has only 2 different factors, 1 and itself. Reteach 4A 31
10 The answer is reasonable. 17. An exact answer is needed. $111 $52 $33 $21 $5 left Ms. Katy has enough money to buy all these things. She will have $5 left. 18. An exact answer is needed. 784 ml 309 ml 475 ml They drink 475 milliliters of milk in the afternoon. 19. An estimate is needed. $14.99 is about $15. $ is about $5 2 $10. $8.99 is about $9. $15 $10 $9 $34 Caithlin spent about $34 in all. Worksheet ; 105, ; 105, 35, ; 96; 8, 12, ; 104; 26, 4, R 4; No; No 6. 3; Yes; Yes 7. 4; Yes; Yes The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, ; 17 R 1; No ; 19; Yes R 5; 12; No : 1, 3, 7, 21 28: 1, 2, 4, 7, 14, 28 The greatest common factor is : 1, 2, 4, 8, 16, 32 42: 1, 2, 3, 6, 7, 14, 21, 42 The greatest common factor is : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 The greatest common factor is , , , 6 1, The greatest common factor is , , 21 6, The greatest common factor is , , , 12 3, The greatest common factor is , 42 5, 14 The greatest common factor is , 24, 36, 54, and , 15 and and The factors of 5 are 1 and 5. So, 5 is a prime number. 196 Answers
11 The factors of 9 are 1, 3, and 9. So, 9 is not a prime number The factors of 11 are 1 and 11. So, 11 is a prime number The factors of 26 are 1, 2, 13, and 26. So, 26 is not a prime number The factors of 20 are 1, 2, 4, 5, 10, and 20. So, 20 is a composite number The factors of 13 are 1 and 13. So, 13 is not a composite number The factors of 63 are 1, 3, 7, 9, 21, and 63. So, 63 is a composite number The factors of 41 are 1 and 41. So, 41 is not a composite number , A prime number has only 2 different factors. 13 has only 2 different factors, 1 and 13. So, 13 is a prime number. 41 has only 2 different factors, 1 and 41. So, 41 is a prime number. Worksheet ; 12; 18; 24; 30; 36; 42; 48 6, 12, 18, 24, 30, 36, 42, and ; 16; 24; 32; 40; 48; 56; 64 8, 16, 24, 32, 40, 48, 56, and , , 47, 49, ) Yes, 24 is the eighth multiple of ) No, 45 is not a multiple of 6. It cannot be divided exactly by ) Yes, 96 is the twelfth multiple of ; , 48; : 2, 4, 6, 8, 10,12, 14, 16, 18, 20 5: 5, 10,15, 20 The least common multiple is : 6, 12, 18, 24, 30, 36 9: 9, 18, 27, 36, 42 The least common multiple is , , 6 1, , , 14 1, , , 15 1, , , 26 3, Chapter 3 Worksheet , , 4, , 2 Reteach 4A 197
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