GCF, LCM, Prime and Word Problems

Prime or Composite

100

26

What is composite as it ends in an even number

200

23

What is prime- only 1 and 23 as factors

300

41

What is prime- only divisble by 1 and 41

400

1,003,205

What is composite- Ends in 5 so divisible by 5?

500

441

What is composite- adds to 9 so divisible by 3

Prime Factorization

100

48

What is 2⁴ x 3

200

128

What is 2⁴ x 7

300

220

What is 2² x 5 x 11

400

648

What is 2³ x 3⁴

500

512

What is 2⁹

GCF

100

12, 36

What is 12

200

30, 48

What is 6.

300

128, 240

What is 16?

400

512, 648

What is 8?

500

72, 108

What is 12?

LCM

100

12, 36

What is 36?

200

26, 38

What is 494?

300

36, 54

What is 108?

400

60, 252

What is 1260?

500

512, 648

What is 41,472?

Word Problems

100

Malcolm and Riley are shelving books at a public library. Malcolm shelves 5 books at a time, whereas Riley shelves 6 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved ?

30

200

Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson on May 5, when will be the next date on which she has both swimming and diving lessons?

May 20th

300

Three pigs entered a race around a track. Piggly takes 6 minutes to run one lap. Piglet takes 3 minutes to run one lap and it takes Wiggly 5 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again?

30 minutes

400

Kiara baked 60 oatmeal cookies and 96 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?

12

500

Julianna 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. (x maroon, y white, z orange) What is the greatest number of arrangements that she can make if every balloon is used? How many of each colour will be in each arrangement?

8 arrangements- Each arrangement will have 4 maroon, 3 white, 2 orange