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Algebra 1 · Unit 1 · Micro-Lesson 1

Review Factors

I canidentify the factors of a whole number.
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Why should I care?

Connect the Math to Real Life

Factors help you arrange items into equal groups and recognize numbers that expressions have in common.

Stores pack items in equal groups. If 24 drinks are packed into 4 equal rows, each row has 6 drinks. The numbers 4 and 6 are a factor pair of 24.

4 rows × 6 drinks = 24 drinksEach row has the same number.

Important words

Build the Vocabulary

Read the meaning, then connect it to the example.

Factor

A number multiplied by another number to make a product.

Example4 is a factor of 24 because 4 · 6 = 24.

Factor pair

Two whole numbers that multiply to make a product.

Example4 and 6 are a factor pair of 24.

Product

The answer to a multiplication problem.

ExampleIn 4 · 6 = 24, the product is 24.

See the pattern

Worked Examples

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SNEAKER DISPLAY

3 rows of 8

3 · 8 = 24

The number of rows and the number in each row make the factor pair 3 and 8. The total, 24, is the product.

1 242 123 84 6
FACTOR PAIRS OF 24

Example: All Factor Pairs of 24

Each connected pair multiplies to 24. We stop after 4 · 6 because the next pairs repeat in reverse order.

Where would I use this?

Factors Help Us Make Equal Groups

Factors are useful whenever items, people, spaces, or time must be divided evenly.

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Buying Packages

A 24-pack can be arranged as 4 rows of 6 drinks.

🎮

Making Teams

Divide 32 players into 8 equal teams of 4.

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Arranging Seats

Arrange 45 seats in 5 rows of 9.

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Planning Time

Split 60 minutes into 4 equal activities of 15 minutes.

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Sharing Evenly

Share 24 slices among 6 people so each gets 4.

Future Math

Use common factors to simplify fractions and factor expressions.

Try it yourself

8-Question Practice

Choose an answer, check your thinking, and use the hint if you need another try.

0 correct
1

A store puts 18 hats into 3 equal rows. How many hats are in each row?

2

Which is a factor pair of 20?

3

Which number is NOT a factor of 24?

4

A game tournament has 32 players on 8 equal teams. Players per team?

5

Complete the factor pair: 7 · ___ = 42

6

Which list contains every factor of 12?

7

True or false: 9 is a factor of 36. Be ready to explain why.

8

A theater has 5 rows with 9 seats in each row. Which factor pair describes the seats?

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