Name
Prime Factorization
Class
Total questions: 30
Worksheet time: 45 mins
Date
1. What is the Prime Factorization of 144?
Ans.
2. What is the expanded form and standard form for 34?
Ans.
3. Find the missing factor for 112 = 24 x
Ans.
4. What is the Prime Factorization of 460?
Ans.
5. What is the standard form of 22 x 32 x 5
a) 140 b) 90
c) 120 d) 180
6. What is the second step to solving a prime factorization problem?
a) Order the Prime numbers from Greatest to b) Order the Prime numbers from Least to
Least Greatest
c) Simplify using exponents d) Break down a number using a Factor Tree
7. Which option is NOT a way to say 23?
a) Two squared b) Two to the Power of Three
c) Two Cubed d) Two to the third power
8. Find the prime factorization of 315: _____
Ans.
9. Find the prime factorization of 1080
Ans.
10. Find the prime factorization of 1470
Ans.
11. Find the prime factorization of 81
Ans.
12. Find the prime factorization of 108: _____
Ans.
13. Find the prime factorization of 528
Ans.
14. The number with the prime factorization of 23 • 11 is _____.
Ans.
15. Is 5 prime or composite?
a) Prime b) Composite
16. The prime factorization of 169 is _____.
Ans.
17. Using a Factor Tree, find the prime factorization of 75: _____
Ans.
18. If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a) 2²⋅3²⋅5⋅7 b) 8⋅9⋅35
c) 2⋅3⋅5⋅7 d) 2³⋅3²⋅5⋅7
19. The prime factorization for 308 is _____
Ans.
20. Which is the prime factorization of 12 ?
a) 2 x 6 b) 22 x 3
c) 2 + 2 + 2 + 2 + 2 + 2 d) 1 x 22 x 3
21. What is the prime factorization of 16 ?
a) 22x 4 b) 1 x 16
c) 22 + 22 d) 24
22. Find the prime factorization of 72
a) 22 x 62 b) 2 x 32 x 4
c) 24 x 33 d) 23 x 32
23. A prime number includes numbers that are only divisible by 1 and itself.
a) True b) False
24. Which of the following is a correct factor tree?
a) b)
25. There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If each team must
have the same number of girls and the same number of boys. What is the greatest number of teams
that can participate in intramurals?
a) 6 b) 8
c) 4 d) 2
26. Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?
a) 8 b) 4
c) 2 d) 6
27. Sara had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of
each color flower in each bouquet. What is the greatest number of bouquets that she can make?
a) 48 b) 2
c) 8 d) 4
28. Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each
fruit in each basket. What is the greatest number of baskets he can make?
a) 3 b) 18
c) 27 d) 9
29. Two clocks are turned on at the same time. One chimes every 15 minutes. The other chimes every
25 minutes. In how many minutes will they chime together?
a) 15 b) 5
c) 75 d) 25
30. The school cafeteria serves tacos every sixth day and cheeseburgers every eighth day. If tacos and
cheeseburgers are both on today's menu, in how many days will they both be on the menu again?
a) 12 b) 6
c) 24 d) 2
