Name ________________________________________ Date __________________ Class __________________ LESSON 2-1 Greatest Common Factor Practice and Problem Solving: A/B List the factors of each number. 1. 5 ________________________ 4. 6 ________________________ 2. 15 3. 60 _______________________ 5. 12 ________________________ 6. 36 _______________________ ________________________ Find the greatest common factor (GCF) for each pair of numbers. 7. 6 and 9 ________________________ 10. 6 and 15 ________________________ 8. 4 and 8 9. 8 and 12 _______________________ 11. 10 and 15 ________________________ 12. 9 and 12 _______________________ ________________________ Write the sum of the numbers as the product of their GCF and another sum. 13. 44 + 40 = 14. 15 + 81 = ________________________________________ ________________________________________ 15. 13 + 52 = 16. 64 + 28 = ________________________________________ ________________________________________ Solve. 17. A jewelry maker has 24 jade beads and 30 teak beads. What is the greatest number of necklaces she can make? How many beads of each type are on each necklace? _________________________________________________________________________________________ 18. The marine-life store would like to set up fish tanks that contain equal numbers of angel fish, swordtails, and guppies. What is the greatest number of tanks that can be set up if the store has 12 angel fish, 24 swordtails, and 30 guppies? _________________________________________________________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 20 Reading Strategies MODULE 2 Factors and Multiples 1. above sea level, scored 2. loss, below sea level LESSON 2-1 3. rising 17 feet; 17 or +17 Practice and Problem Solving: A/B 4. 5 feet below the surface, −5 1. 1 and 5 5. losing 6 points; −6 2. 1, 3, 5, and 15 6. paying a fee of $35; −35 3. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 7. penalty of 5 yards; −5 4. 1, 2, 3, and 6 8. adding 32 MB; +32 or 32 5. 1, 2, 3, 4, 6, and 12 9. award of $50; +50 or 50 6. 1, 2, 3, 4, 6, 9, 12, 18, and 36 10. crediting $60; +60 or 60 7. 3 Success for English Learners 8. 4 1. −5, 5 9. 4 2. 6 10. 3 3. 4 11. 5 4. 3 12. 3 5. 0 13. 44 + 40 = 4 × (11 + 10) 6. 2 14. 15 + 81 = 3 × (5 + 27) 7. 2 15. 13 + 52 = 13 × (1 + 4) 8. They both have an absolute value of 2. 16. 64 + 28 = 4 × (16 + 7) 17. Since 6 × (4 + 5) = 24 + 30, she can make 6 necklaces with 4 jade beads and 5 teak beads. MODULE 1 Challenge 1. 18. Since 6 × (2 + 4 + 5) = 12 + 24 + 30, 6 tanks can be set up with 2 angel fish, 4 swordtails, and 5 guppies. Practice and Problem Solving: C 1. 250: 1, 2, 5, 10, 25, 540, 125, 250 45: 1, 3, 5, 9, 15, 45 The Celsius degree is larger, or the Fahrenheit degree is smaller. 30: 1, 2, 3, 5, 6, 10, 15, 30 GCF: 5 2. a. −3, −6, −6, −6, −7, −6, −4 2. 375: 1, 3, 5, 15, 25, 75, 125, 375 b. −7, −6, −6, −6, −6, −4, −3 66: 1, 2, 3, 6, 11, 22, 33, 66 c. 5, 9, 18, 8, 21, 12, 12 33: 1, 3, 11, 33 d. 5, 8, 9, 12, 12, 18, 21 GCF: 3 e. none 3. 76: 1, 2, 4, 19, 38, 76 21: 1, 3, 7, 21 14: 1, 2, 7, 14 GCF: 1 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 475