VOCABULARY A composite number
written as the product of
prime factors is called the
of the
number. (p. 168)
prime factorization
2. VOCABULARY The greatest of the common
factors of two or more
numbers is the
(p. 171)
greatest common factor, or GCF
Tell whether each number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10. (pp. 164–165)
3. 42
2, 3, 6
7. 330
2, 3, 5, 6, 10
4. 64
5. 96
2, 4, 8
2, 3, 4, 6, 8
8. 963
9. 450
3, 9
2, 3, 5, 6, 9, 10
6. 225
3, 5, 9
10. 2,385
3, 5, 9
Write prime or composite. (pp. 166–167)
11. 23
prime
15. 72
composite
19. 17
prime
12. 27
composite
16. 89
prime
20. 97
prime
13. 13
prime
17. 14
composite
21. 46
composite
14. 40
composite
18. 49
composite
22. 107
prime
Use division or a factor tree to find the prime factorization.
Write the prime factorization in exponent form. (pp. 168–169)
23. 9
24. 8
32
23
27. 80
28. 12
24 × 5
31. 49
72
22 × 3
32. 98
2 × 72
25. 14
2×7
29. 33
3 × 11
33. 504
23 × 32 × 7
26. 18
2 × 32
30. 50
2 ×52
34. 891
34 × 11
Find the LCM and the GCF of each set of numbers. (pp. 170–173)
35. 3, 9
36. 2, 6
9; 3
6; 2
37. 4, 6
12; 2
38. 10, 15
30; 5
39. 8, 12
40. 9, 27
24; 4
27; 9
43. 56, 98
44. 6, 8, 12
392; 14
24; 2
41. 15, 25
42. 18, 48
75; 5
45. 6, 9, 12
144; 6
46. 8, 16, 20
36; 3
80; 4
Solve.
47. A number is between 60 and 70. It is divisible by 3 and 9. What is the
number? (pp. 164–165)
63
48. Meat patties are sold in packages of 12. Buns are sold in packages
of 8. What is the least number of meat patties and buns needed to
have the same number of each? (pp. 170–173)
24 patties and 24 buns
49. Cashews are sold in 8-oz jars, almonds in 12-oz jars, and peanuts in
16-oz jars. What is the least number of ounces you can buy of each
nut to make mixed nuts with equal amounts of the three nuts and
no nuts left over? How many jars of each nut will you need? (pp. 170–173)
48 oz; 6 jars of cashews, 4 jars of almonds, 3 jars of peanuts
50. Alissa jogs in the park every 3 days. Jocelyn jogs in the park once a
week on Saturday. If they met in the park on Saturday, April 30, when
will they meet in the park again? (pp. 174–175)
Saturday, May 21