11. Twenty are how many times 2? How many times 10? How many times 5? How many times 4? What are the factors of 20? 12. Twenty-two are how many times 11? many times 2? 13. Twenty-four are how many times 12? How many times 2? How many times 8? How many times 3? 14. Twenty-six are how many times 2? How many times 13? What are the factors of 26 ? 15. Twenty-seven are how many times 9? many times 3? What are the factors of 27 ? 16. Twenty-eight are how many times 14? many times 2? What are the factors of 28? How How 17. Thirty are how many times 15? How many times 2? How many times 10? How many times What are the factors of 30? 3? 18. Thirty-three are how many times 11? How many times 3? 19. Thirty-four are how many times 2? How many times 17? 20. Thirty-six are how many times 18? How many times 12? How many times 9? How many times 6? How many times 4? How many times 3? How many times 2? What are the factors of 36 ? 21. Thirty-eight are how many times 19? How many times 2? What are the factors of 38? 5? 22. Forty are how many times 20? How many imes 10? How many times 8? How many times How many times 4? How many times 2? 23. Forty-two are how many times 21? How many times 2? How many times 6? How many times 7? What are the factors of 42 ? 24. Forty-four are how many times 22? many times 2? How many times 11? times 4? What are the factors of 44 ? How How many 25. Forty-six are how many times 23? many times 2? What are the factors of 46 ? How 26. Forty-eight are how many times 24? How many times 16? How many times 12? How many times 8? How many times 6? How many times 4 ? How many times 3? How many times 2? What are the factors of 48 ? 27. Forty-nine are how many times 7? What are the factors of 49? 28. Fifty are how many times 25? How many times 10? How many times 5? What are the factors of 50? 29. Fifty-four are how many times 9? How many times 6? How many times 27! What are the factors of 54? 30. Fifty-six are how many times 7? How many times 8? How many times 28? What are the factors? 31. Sixty are how many times 10? How many times 12? How many times 5? What are the factors? 32. Sixty-four are how many times 8? How many times 16? How many times 4? the factors? What are 33. Seventy are how many times 7? How many times 10? What are the factors? 34. Seventy-two are how many times 8? How many times 9? What are the factors? 35. Eighty-four are how many times 12? How many times 7 ? What are the factors? 36. Ninety-six many times 8? are how many times 12? How What are the factors? SECTION FOURTH. LESSON I. In which Divisors are used from 2 to 5.* 1. How many 2's are there in 2. in 2, how many times? 2. How many 2's are there in 4? many times? 3. How many 2's are there in 6? mary times? 4. How many 2's are there in 8? many times? 5. How many 2's are there in 10? many times? 6. How many 2's are there in 12? many times? 2 is contained 2 in 4, how 2 in 6, how 2 in 8, how 2 in 10, how 2 in 12, how 7. How many 3's are there in 3? 3 is contained in 3, how many times? 8. How many 3's are there in 6? 3 in 6, how many times? 9. How many 3's are there in 9? many? 10. How many 3's are there in 12? many? 11. How many 3's are there in 15? many times? 3 in 9, how 3 in 12, how 3 in 15, how *DIVISION is the process of finding how many times one num ber coutains another. The number to be divided is called the dividend. The number by which we divide is called the divisor. The number expressing how many times the dividend contains the divisor is called the quotient. In case there is a number left, it is called the remainder. The divisor and quotient are factors of the dividend. 12. How many 3's are there in 18? 3 in 18, how many times? 13. How many 4's are there in 4? 4 is contained in 4, how many times? 14. How many 4's are there in 8? 4 in 8, how many times? 15. How many 4's are there in twelve? 12, how many times? 16. How many 4's are there in 16? many times? 17. How many 4's are there in 20? many times? 4 in 4 in 16, how 4 in 20, how 18. How many 4's are there in 24? 4 in 24, how many times? 19. How many 5's are there in 5? ed in 5, how many times? 5 is contain 20. How many 5's are there in 10? 5 in 10, how many times? 21. How many 5's are there in 15? many times? 22. How many 5's are there in 20? many times? 23. How many 5's are there in 25? many times? 24. How many 5's are there in 30? many times? QUESTIONS. 5 in 15, how 5 in 20, how 5 ir. 25, how 5 in 30, how 1. *William has 8 apples, and divides them equally between two boys: how many does he give to each? 2. James has 12 peaches, and divides them equally between his two sisters: how many does he give to each? * ANALYSIS.-It will require 2 apples to give each boy 1; therefore, each boy will get 1 apple as often as 2 apples is contained times in 8 apples; 2 apples are contained in 8 apples 4 times-consequently, each boy will get 4 times 1 apple, which is 4 apples. 3. Charles has a basket containing 20 pears, and divides them equally between his father and mother: how many does he give to each ? 4. A father bought 28 fish-hooks, and divided them between John and Charles: how many had each ? 5. A mother has a dozen needles, and gives an equal number to Jane and Mary: how many will each have? 6. A lady having two parlors, bought 24 chairs, and put an equal number in each room: how many were there in each room? 7. There are 16 boys in a school-room, and but 2 benches: how many boys must sit on each seat? 8. * How many peaches, at 2 cents apiece, can you buy for 18 cents? 9. At 3 cents apiece, how many oranges can you buy for 9 cents? How many can you buy for 12 cents? How many can you buy for 30 cents? many can you buy for 24 cents? How 10. A boy has 12 cents, and finds that he must give 3 cents apiece for tops: how many can he buy? If he has 21 cents, how many can he buy? If he has 24 cents, how many can he buy? 11. If 5 barrels of flour cost 30 dollars, how much will 1 barrel cost?† * ANALYSIS. Since one peach costs 2 cents, you can buy as many peaches for 18 cents as 2 is contained times in 18: 2 is contained in 18, 9 times; therefore, you can buy 9 peaches at 2 cents apiece for 18 cents. + Since barrels of flour cost 30 dollars, one barrel will cost as many dol lars as 5 is contained times in 30: 5 is contained in 30, 6 times; therefore, If 5 barres of flour cost 30 dollars, one barrel will cost 6 dollars. NOTE.-The following rules result from the analysis of example, 1, 8 and 11: Ex. 1. Divide the whole number of things by the number of parts nto which they are to be divided; the quotient will be the number in each part. Ex. 8. Divide the entire cost by the cost of a single thing; and the quotient is the number of things. Ex. 11. Divided the entire cost by the number of things, and the quotient will be the cost of a single thing. |