Multiplication and Division Study Guide
Vocabulary
 Factor – a number that is being multiplied
5 x 4 = 20
5 and 4 are
both factors
 Product – the answer to a multiplication equation
5 x 4 = 20
20 is the
product
 Dividend – a number that is being divided into equal groups of
numbers
32/4 = 8
32 is the
dividend
 Divisor – the number of groups into which you are dividing the
dividend
32/4 = 8
4 is the
divisor
 Quotient – the answer to a division equation
32/4 = 8
8 is the
quotient
 Array – A set model having an equal number of rows and
columns representing a multiplication equation
 Multiplication and Division Fact Families – multiplication and
division equations using the same 3 numbers
Example: 5, 6, 30
5 x 6 = 30
6 x 5 = 30
30/5 = 6
30/6 = 5
Properties of Multiplication
 Commutative Property – I can change the order of the factors,
and the product will remain the same (flip facts)
Example: 4 x 3 = 12
and 3 x 4 = 12
 Identity Property – any number multiplied by 1 equals that
number
Examples: 6 x 1 = 6
1x9=9
1x1=1
12 x 1 = 12
Skills
 Multiplication and Division Facts – multiply factors 0-12 and
divide by numbers 0-12
 Anything multiplied by 0 equals 0
 Anything divided by 0 is impossible
 Multiply 2-digit numbers by a 1-digit number between 0 and 5
 Identify when a given property of multiplication is being used
 Solve story problems using multiplication and division
(determine which operation to use)
Practice, Practice, Practice!!
Find the product or quotient. Prove your answer (draw a picture, an array, a
number line, or use a fact family).
1. 7 x 12 =
2. 21/3 =
3. 6/3 =
4. 56/7 =
5. 2 x 8 =
6. 12/3 =
Use the numbers given to make fact families.
7. 3, 7, 21
8. 5, 9, 45
9. 6, 7, 42
______________________
______________________
______________________
______________________
______________________
______________________
______________________
______________________
______________________
______________________
______________________
______________________
Solve the word problems using multiplication or division. Show your work.
10. Mrs. Paquette had 12 butterfly stickers. She wanted to share them equally
with 3 students. How many stickers did each student receive?
11. There were 49 basketball players playing on 7 teams. How many players
were on each team?
12. Abbie invited 6 friends to her birthday party. Each friend got 4 lollipops. How
many lollipops did Abbie give in all?
13. Ms. Finkel wanted to make cookies for her students. She wanted each of her
25 students to have 2 cookies. How many cookies did Ms. Finkel make?
14. There were 72 legos. Nine friends wanted to play with them, and they all
wanted an equal share. How many legos did each friend get?
Identify the property of multiplication shown.
15. 2 x 3 = 3 x 2
16. 4 x 6 = 6 x 4
17. 10 x 1 = 10
_______________
_______________
_______________