Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Prime Factorization GCF LCM Compare Round Fractions

Total questions: 61

Worksheet time: 3hrs 51mins

Name
Class
Date
1.
Which set lists all the factors of 24?
a)
1, 2, 3, 6, 7, 12, 24
b)
1, 2, 3, 4, 6, 8, 12, 24
c)
1, 2, 3, 4, 5, 6, 8, 12, 24
d)
1, 3, 4, 6, 8, 24
2.

Create a factor tree and find the prime factorization for 80

a)

24⋅5

b)

42⋅5

c)

2⋅2⋅2

d)

8⋅5⋅2

3.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x22x3
c)
3x24
d)
12x4
4.
What are the prime factors of 30? 
a)
3, 2, 5 
b)
1, 2, 3, 5, 6, 15, 30
c)
3, 30
d)
10, 3
5.
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)
4
b)
2
c)
48
d)
8
6.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
7.
What is the greatest common Factor between 28 and 35?
a)
1
b)
14
c)
7
d)
5
8.
Find the Greatest Common Factor (GCF) OF 12,  18 & 30
a)
1
b)
3
c)
6
d)
12
9.
Find the Greatest Common Factor (GCF) of 60 and 75
a)
1
b)
3
c)
5
d)
15
10.
Karen has 30 photos from a trip to Dallas and 48 photos from a trip to Austin. She wants to put all the photos in an album so that the photos from each trip are in separate sections. What is the greatest number of photos she can put on each page?
a)
18 photos
b)
6 photos
c)
240 photos
11.
Buses from 2 different bus routes each stop at the same corner at 9 a.m. One stops every 9 minutes, and the other stops every 12 minutes. What is the fewest number of minutes that will pass until the next time buses from both routes are there at the same time?
a)
9:03
b)
9:12
c)
9:36
12.
Morgan and her little brother receive stickers for doing their assignments at home each week. Morgan has 14 assignments due each week and her brother, Willie, has 8 assignments due. What is the lowest number of stickers each sibling will have?
a)
16
b)
56
c)
2
13.
In Science class, Mrs. Rollins told her class that the planets revolve around the Sun at different times. It takes Jupiter 12 "Earth years" , and Saturn takes 30 "Earth years". How often will Jupiter and Saturn align? (LCM)
a)
24
b)
60
c)
360
14.
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?
a)
16th customer
b)
150th customer
c)
300th customer
d)
180th customer
15.
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?
a)
7
b)
8
c)
9
d)
10
16.

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. How many baskets can you make with the most fruit in them?

a)
1
b)
2
c)
3
d)
4
17.
Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. On what date will she do both classes and go to the library?
a)
24 days
b)
36 days
c)
42 days
d)
52 days
18.

Farida is making activity baskets to donate to charity.  She has 100 coloring books and 360 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets? How many coloring books and crayons each basket contain?

a)

The greatest number of baskets she can make is 20, each basket contains 5 coloring books and 18 crayons

b)

20, 5, 18

c)

The greatest number of baskets she can make is 1800, each basket contains 50 coloring books and 180 crayons

d)

1800, 50, 180

19.

Find the GCF of 451 and 501

a)

14

b)

45

c)

1

d)

11

20.

List all the factors of 90

(a)  

21.

At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs.  The staff had to prepare platters for an office lunch.  If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?

Answer: The greatest number of plates they can make is (a)  

22.

Bella is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?

a)

The greatest number of arrangements that she can make is 8

b)

The greatest number of arrangements that she can make is 18

c)

The greatest number of arrangements that she can make is 48

d)

The greatest number of arrangements that she can make is 128

23.

Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?

a)

The signs will blink together again every 45 seconds

b)

The signs will blink together again every 35 seconds

c)

The signs will blink together again every 25 seconds

d)

The signs will blink together again every 15 seconds

24.

The pet shop is putting together goody bags to send to different shelters.  They have 36 chew toys, 24 dog bones and 18 chase toys for cats.  What is the maximum number of goody bags will they be able to make to send to shelters? 

a)

The maximum number of goody bags they will be able to make to send to shelters are 6

b)

The maximum number of goody bags they will be able to make to send to shelters are 8

c)

The maximum number of goody bags they will be able to make to send to shelters are 12

d)

The maximum number of goody bags they will be able to make to send to shelters are 4

25.

Grace and Laila are both factoring 320 into prime numbers.

Grace began with 320 = 32 × 10.

Laila began with 320 = 2 × 160.

Will they both end up with the same prime factorization?

a)

Yes

b)

No

26.

Malak is going to plant 128 oak trees and 432 pine trees. Malak would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Malak can have in each row?

Answer: The (a)  

27.

Hala's mom is buying burgers and Burgers buns for the family barbecue. Burgers come in packs of 30 and Burger buns come in packs of 18. The store does not sell parts of a pack and Hala's mom wants the same number of Burgers as Burger buns. What is the smallest total number of Burgers that Hala's mom can purchase?

a)

90

b)

6

c)

96

d)

69

28.

Find the LCM and GCF of 120, 240, 360

a)

LCM= 720, GCF= 120

b)

LCM= 120, GCF= 720

c)

LCM= 72, GCF= 12

d)

LCM= 220, GCF= 120

29.

Find the LCM and GCF of 36, 44, 64, 24

a)

LCM= 6336, GCF= 4

b)

LCM= 3663, GCF= 24

c)

LCM= 6330, GCF= 4

d)

LCM= 6336, GCF= 2

30.

Find the GCF of 72 and 90.

a)

12

b)

24

c)

36

d)

18

31.

Find the GCF of 56 and 84.

a)

14

b)

28

c)

42

d)

70

32.

Find the GCF of 63 and 81.

a)

7

b)

12

c)

15

d)

9

33.

What type of problem is this: Miss Friedman knows 92.5 plays a Shawn Mendes song every hour on the hour and 106.7 plays Shawn Mendes every 15 minutes. When is the next time both stations will play Shawn Mendes at the same time?

a)

LCM/Least Common Multiple

b)

GCF/ Greatest Common Factor

34.

What kind of problem is this: Miss Friedman needs to make math packets. Miss Friedman has 32 pencils and 24 pieces of paper. How many packets can she make with no left overs?

a)

LCM/Least Common Multiple

b)

GCF/Greatest Common Factor

35.
 Find the GCF of each set of numbers. 
28, 42, 56
a)
14
b)
4
c)
7
d)
8
36.
 Find the GCF of each set of numbers. 
14, 56, 63
a)
9
b)
4
c)
7
d)
8
37.

What is the GCF of 77, 91, and 143?

a)

182

b)

286

c)

154

d)

1

e)

no answer

38.

What is the LCM of 12, 18, and 81?

a)

224

b)

642

c)

423

d)

324

e)

no answer

39.
You have 18 red legos and 24 green legos.  You need to combine them into groups of the same size with the same number of red and green legos in each group.
A.  What is the greatest number of groups you can make?
B.  How many red and green legos will be in each group?
a)
A.  6 groups  B.  3 red and 4 green
b)
A.  72 groups  B.  6 red and 3 green
c)
A.  3 groups  B.  6 red and 8 green
40.
An art project requires rows with the same number of discs and same amount of red and blue discs in each row.  You have 40 red discs and 24 blue discs.
A.  What is the greatest number of discs you could put in each row?
B.  How many red discs and blue discs will be in each row?
a)
A.  120 discs  B.  3 red and 5 blue
b)
A.  8 discs  B.  5 red and 3 blue
c)
A.  4 discs  B.  10 red and 6 blue
41.
You have a set of 12 hearts, 16 diamonds, and 20 clubs that need to be put into equal groups.  Each group must be made up of the same number of hearts, diamonds, and clubs.  What is the greatest number of groups that can be made?
a)
6 groups
b)
2 groups
c)
4 groups
42.
You are watching a parade and observe cars going by in groups of 4 blue cars and 6 green cars at a time.  If you observe the same number of blue and green cars, what is the smallest number of each car you could have observed?
a)
2 cars
b)
12 cars
c)
24 cars
43.

Martin is creating snack bowls out of walnuts and cashews. He has 20 walnuts and 25 cashews, and he wants each bowl to have an identical number of walnuts and cashews, with no nuts left over. What is the greatest number of bowls Martin can create?

a)

5

b)

10

c)

20

d)

100

44.

What is the greatest common factor of 28, 70, and 42?

a)

14

b)

7

c)

28

d)

6

45.

What is the LCM of 2, 4, and 9?

a)

18

b)

36

c)

27

d)

40

46.

Find the GCF of 24 and 56.

(a)  

47.

Josh and Eva are packing first-aid supplies. It takes Josh 12 minutes to fill a box with bandages. It takes Eva 8 minutes to fill a box with antibiotics. If they start packing boxes at the same time, how long will it be before they start filling a new box at the same time?

a)

24

b)

9

c)

96

d)

36

48.

A video game has 3 villains who appear on screen at different intervals. One villain appears every 5 seconds, a second villain appears every 10 seconds, and a third villain appears every 16 seconds. how much time passes between occasions when all three villains appear at the same time?

a)

32 seconds

b)

80 seconds

c)

125 seconds

d)

60 seconds

49.

Pencils come in packages of 10. Erasers come in packages of 12. Dean wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Dean buy?

a)

5 packages of pencils and 4 packages of erasers.

b)

4 packages of pencils and 3 packages of erasers.

c)

6 packages of pencils and 5 packages of erasers.

d)

12 packages of pencils and 10 packages of erasers.

50.
An art project requires rows with the same number of discs and same amount of red and blue discs in each row.  You have 40 red discs and 24 blue discs.
A.  What is the greatest number of discs you could put in each row?
B.  How many red discs and blue discs will be in each row?
a)
A.  120 discs  B.  3 red and 5 blue
b)
A.  8 discs  B.  5 red and 3 blue
c)
A.  4 discs  B.  10 red and 6 blue
51.

54 is not the same as _______.

a)

52 x 52

b)

252

c)

5 x 5 x 5 x 5

d)

53 x 52

52.

Find the GCF and LCM of 48 and 36?

a)

GCF=8/LCM=56

b)

GCF=7/LCM=49

c)

GCF=12/LCM=144

d)

GCF=3/LCM=36

53.

By coincidence, Farid's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 10-liter containers while blue paint is sold in containers of 5 liter. What is the smallest amount of each paint color the store must have sold?

Do you need to find the GCF or LCM?

a)

GCF

b)

LCM

54.

Matthew and Polly are each assigned a paper for a class they share. Matthew decides to write 9 pages at a time while Polly decides to write 12 pages at a time. If they end up writing the same number of pages, what is the smallest number of pages that the papers could have had?

Do you need to find the GCF or LCM?

a)

GCF

b)

LCM

55.

Elise wishes to advertise her business, so she gives packs of 4 red flyers to each restaurant owner and sets of 12 blue flyers to each clothing store owner. At the end of the day, Elise realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color?

Do you need to find the GCF or LCM?

a)

GCF

b)

LCM

56.

Hugo is putting together first-aid kits. He has 32 large bandages and 48 small bandages, and he wants each kit to be identical, with no bandages left over. What is the greatest number of first-aid kits Hugo could put together?

Do you need to find the GCF or LCM?

a)

GCF

b)

LCM

57.

Find the prime factorization of 81.

a)

34

b)

23 • 5 • 7

c)

43

d)

22 • 7

58.

Find the prime factorization of 108.

a)

23 * 32

b)

22 • 33

c)

25 • 3

d)

2 • 3 • 7 • 11

59.
The following prime factorization represents which number:  22 x 3 x 7
a)
14
b)
84
c)
42
d)
70
60.
Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct. 
a)
4⋅2⋅5
b)
2⋅32⋅7
c)
152⋅7
d)
7²⋅4²
61.

What is the prime factorization of 192 ? 

a)

3 ⋅ 62

b)

26 ⋅ 3

c)

28 ⋅ 3

d)

3 ⋅ 82 

Similar Resources on Wayground

Review of 5th grade math

60 questions

Review of 5th grade math

quiz

Worksheet

•

6th Grade

Rockin' Review Vocab - 6th Grade

62 questions

Rockin' Review Vocab - 6th Grade

quiz

Worksheet

•

8th Grade

Integer Operations

60 questions

Integer Operations

quiz

Worksheet

•

6th Grade

fraction class 6th

60 questions

fraction class 6th

quiz

Worksheet

•

6th Grade

Primary 6 Mathematics finals Review

57 questions

Primary 6 Mathematics finals Review

quiz

Worksheet

•

6th Grade

[G6] Final Exam

60 questions

[G6] Final Exam

quiz

Worksheet

•

6th Grade

Slope Review

56 questions

Slope Review

quiz

Worksheet

•

8th Grade