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.
x
2
3
=6
Let’s Review
x
2
3
x
=
3
2
Let’s Review
Factor
Factor
6
1
Factors
1x6=6
A Common Mistake
When listing factor pairs, don’t
forget to list the number as a factor
of itself.
6= 1x6
Core Lesson
Find all the factor pairs for 6.
6
1
3
2
6:
1 x6
2 x3
Core Lesson
Find all the factor pairs for 20.
20
1
10
2
5
4
20:
1 x 20
2 x 10
4x5
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.
18
1
9
2
6
3
18: 1 x 18
2x9
3x6
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.