Prime & Composite, GCF and LCM
1.
Saul is working on prime factorization. What did he find for the prime factorization of 96? a.
2 ∙ 3 ∙ 4² b. 2 ⁴ ∙ 3 c. 2 ⁵ ∙ 3 d. 3 ⁵ ∙2
2.
Which list shows numbers that are all multiples of 6? a.
2, 15, 42, 65 b. 7, 13, 24, 41 c. 9, 14, 17, 2 d. 12, 18, 24, 48
3.
Which expression shows the prime factorization of 98? a.
2 ∙ 7 b. 2 ∙ 49 c. 2 ⁵ ∙ 7 d. 2 ∙ 7²
4.
Animators of a 6 th grade math video want to make a video showing numbers marching in line to arrive at the prime factorization of 105. What is the prime factorization of 105? a.
3 × 5 × 7 b. 3³ × 5 c. 2 ⁵ × 3 d. 2³ × 3 × 5
5.
The 6 th grade is going on a picnic and Mrs. Moore is buying hot dogs and buns. Hot dogs are sold in packages of 10. Hot dog buns are sold in packages of 8. What are the least numbers of packages of hot dogs and buns that she could buy in order to have an equal number of both? a.
4 of hot dogs, 5 of buns b. 5 of hot dogs, 4 of buns c. 8 of hot dogs, 10 of buns d. 10 of hot dogs, 8 of buns
6.
Jose set his locker combination to be all the factors of 14. What is his locker combination? a.
1, 2, 3, 4, 6 b. 1, 2, 7 c. 1, 2, 7, 14 d. 14, 28, 42, 56
7.
What is the least common multiple (LCM) of this set of numbers? a.
21 b. 27 c. 42 d. 63
8. What are the prime factors for 50?

a. 5 × 10 c. 2 × 5 × 5
9. A whole number greater than 1 that has more than two factors must be -- a. composite c. odd b. 2 × 25 d. 2 × 3 × 5 b. even d. prime
10. What is the prime factorization of 360? a. 2 ∙ 3 ∙ 3 b. 2³ ∙3² ∙5 c. 2² ∙3 ∙ 5 d. 2³ ∙ 15
11. Chandra received a paycheck of $140 for two weeks of work. On her next paycheck, she received $170. What was the GCF of her two paychecks? a. $14 b. $30 c. $17 d. 10
12. Which number is divisible by 5? a. 182 b. 348 c. 560 d. 744
13. Find the LCM of 8 and 10. a. 40 c. 18 b. 80 d. 20
14. Julie, Alicia, and Megan visit their grandmother at the nursing home. Julie visits every
7 days, Alicia visits every 10 days, and Megan visits every 5 days. How often will all three girls visit on the same day? (Hint: find the LCM). a. every 50 days b. every 35 days d. every 22 days c. every 70 days
15. What is the prime factorization of 84? a. 2² ∙ 6 ∙ 7 b. 2² ∙ 3 ∙ 7 c. 2 ∙ 3² ∙ 7 d. 2 ∙ 3 ∙ 7