Factors
Multiples
Common Factors
Vocabulary
Patterns
100

List all the factors of 36.

1, 2, 3, 4, 6, 9, 12, 18, 36

100

List the next 7 multiples of 6. 

12, 18, 24, 30, 36, 42, 48

100

List the common factors of 40, 32, and 56.

1, 2, 4, 8

100

What is a composite number? 

A number with more than two factors.

100

What is the next term in the pattern: 50, 45, 40, 35

30

200

Which of the following numbers have a factor of 4? 12, 2, 56, 22. 

12, 56

200

Darren paid $12 for two charms. The price of each charm was a multiple of $2. What are the possible prices of the charms? 

$6 and $6, $4 and $8, $10 and $2

200

Justin has  36 pencils, 27 erasers, and 18 paper clips. He organizes them into groups with the same number of items in each group. All the items in a group will be the same type. What is the greatest number of paper clips he can put in each group? 

9 paper clips

200

What is a prime number? 

A number with only two factors, 1 and itself. 

200

What are the next three terms in the pattern: 36, 30, 24, __, __, __

18, 12, 6

300

True or false: 27 is a factor of 9. 

False. The factors of 9 are 1, 3, 9

300

Jimmy has several packages of slime. Each package contains 6 containers of slime. Which could be the number of containers of slime Jimmy has? 12, 42, 3, 2, 14. 

12, 42

300

Simon is making wreaths to sell. He has 60 bows, 36 silk roses, and 48 silk carnations. He wants to put the same number of items on each wreath. All the times on a wreath will be the same type. What is the greatest number of flowers that could be in each wreath?

12 flowers

300

True or False: The number 45 is a multiple of 9. 

True

300

Use the rule to write the first five terms of the pattern. Rule: Add 4, subtract 5 

First term: 20

20, 19, 18, 17, 16

400

Monica arranged 12 plants in rows. Each row has the same number of plants. How many plants could be in each row? 

1, 2, 3, 4, 6, 12 

400

Veronica uses 1 box of candy and 1 envelope to make Valentine's. If the candy is sold in packs of 3 boxes and the envelopes come in packs of 4, what is the least number of Valentine's Veronica can make without any left over? 

12 (Must find the least common multiple)

400

Sophia works at a toy store. She will place 72 toy cars into display bins. She must use the same number of toy cars in each bin. The number of toy cars in each bin must be greater than 1 and less than 10. How many toy cars could be in each bin?

2, 3, 4, 6, 8, or 9 toy cars in each bin

400

True or False: The number 4 is a multiple of 28. 

False. 4 is a factor of 28. 

400

What are the next two terms in the pattern? 3, 8, 7, 12, 11, 16, 15, 20, 19

24, 23

500

Jack is arranging 30 tiles on his wall in a rectangular pattern. What are the possible dimensions for the rectangle? 

1 x 30, 2 x 15, 3 x 10, 5 x 6

500

Lily uses 1 roll of ribbon and 1 button to make bracelets. If the ribbon comes in rolls of 6 yards and the buttons come in packs of 8, what is the least number of bracelets Lily can make without any ribbon or buttons left over? 

24 bracelets

500

Mia works at a gift shop. She will arrange 56 ornaments into gift boxes. She must use the same number of ornaments in each box. The number of ornaments in each box must be greater than 1 and less than 10. How many ornaments could be in each box?

2, 4, 7, or 8 ornaments in each box

500

The number 37 is _________ (prime/composite) because it has ________ (more than/only) one pair of factors. 

prime; only

500

What are the next two terms in the pattern? 1, 3, 9, 27

81, 243