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How can we use area models to find all the factor pairs of a number?
For example:Find all the factors pairs of 20.
In this lesson you will learn how to find all the factor pairs
of a number by using area models.
Let’s Review
Multiplication can be shown as an area model, also known as a
rectangular array.
= 6
x
2
3
Let’s Review
=x
2
3x
3
2
Let’s Review
Factor
Factor
1x6=6
6
1
Factors
A Common Mistake
When listing factor pairs, don’t forget to list the number as a factor of itself.
6= 1x6
Core Lesson
6: 1 x6
6
1
2
3
Find all the factor pairs for 6.
2 x3
Core Lesson
Find all the factor pairs for 20.
20: 1 x 20
1
20
2
10
4
5 2 x 10
4 x 5
In this lesson you have learned how to find all the factor pairs of a number by using an area
model.
Guided Practice
Find the factor pairs for 18.
1
18
2
9
3
6
18: 1 x 182 x 93 x 6
Extension Activities
Find the factor pairs for 15.
Find the factor pairs for 30.
What factors do they have in common? Why?
Extension Activities
Find all the factor pairs for 35.
Extension Activities
GAME: Factor Capture Materials: (1) Set of playing cards with the Kings, Queens, & Jacks removed.(2) Paper and pencil for each player
Directions: Place all the cards in a stack between the players. Flip over two cards and multiply the two cards by each other. Players have one minute to list as many factor pairs as they can for that product. When one minute is over, the student with the most correct factor pairs wins and places the cards in a ‘win stack’. If no one wins, leave the cards for the next round.
Quick Quiz
Find the factor pairs for 42.
Find the factor pairs for 28.