Factors, Multiples, and Number Patterns

Vocabulary

100

A number multiplied by another number to find a product.

Factor.

200

A number that is a factor of two or more numbers.

Common Factor.

300

Each number or object in a pattern.

Term.

400

The product of a given number and another factor multiplied together.

Common Multiple.

500

An ordered set of numbers or objects.

Pattern.

Factor/Greatest Common Factor

100

List the factors of 12 and 24. Find the Greatest Common Factor.

1 X 12                        1 X 24

2 X 6                          2 X 12

3 X 4                          3  X 8

GCF = 12

200

List the factors of 18 and 32. Find the Greatest Common Factor.

1 X 18                             1 X 32

2 X 9                               2 X 16

3 X 6                               4 X 8

GCF = 2

300

List the factors of 24 and 36. Find the Greatest Common Factor.

1 X 24                           1 X 36

2 X 12                           2 X 18

3 X 8                             3 X 12

4 X 6                             4 X 9

GCF = 12

400

List the factors of 15 and 25. Find the Greatest Common Factor.

1 X 15                         1 X 30

3 X 5                           2 X 15

                                  3 X 10

                                  5 X 6

GCF = 15

500

List the factors of 36 and 48. Find the Greatest Common Factor.

1 X 36                          1 X 48

2 X 18                          2 X 24

3 X 12                          3 X 16

4 X 9                            4 X 12

6 X 6                            6 X 8

GCF = 12

Multiple/Least Common Multiple

100

List the multiples 10 and 15. Find the Least Common Multiple. Stop after you have 6 numbers.

10, 20, 30, 40, 50, 60

15, 30, 45, 60, 75, 90

LCM = 30

200

List the multiples of 18 and 36. Find the Least Common Multiple. Stop after you have 6 numbers.

18, 36, 54, 72, 90, 108

36, 72, 108, 144, 180, 216

LCM = 36

300

List the multiples of 15 and 20. Find the Least Common Multiple. Stop when you have 6 numbers.

15, 30, 45, 60, 75, 90

20, 40, 60, 80, 100, 120

LCM = 60 

400

List the multiples of 9 and 15. Find the Least Common Multiple. Stop when you have 6 numbers.

9, 18, 27, 36, 45, 54

15, 30, 45, 60, 75, 90

LCM = 45

500

List the multiples of 30 and 40. Find the Least Common Multiple. Stop when you have 6 numbers.

30, 60, 90, 120, 150, 180

40, 80, 120, 160, 200, 240

LCM = 120

Number Patterns

100

Write the rule for the following pattern.

4, 8, 16, 20, 24, 28, 32...

Add 4, Adding 4, or + 4.

200

Write the rule for the following pattern.

5, 15, 25, 35, 45, 55, 65...

Add 10, Adding 10, or + 10.

300

Write the rule for the following pattern.

25, 50, 75, 100, 125, 150, 175

Add 25, Adding 25, or + 25.

400

Start at 6. Create a pattern that multiplies each number by 3 and adds 4. Stop when you have 5 numbers.

6, 22, 70, 214, 646

500

Start at 5. Create a pattern that multiples each number by 4 and adds 2. Stop when you have 5 numbers.

5, 22, 90, 362, 1450.