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Prime and Composite Numbers

Fourth graders learn that a prime number has exactly two factors while a composite number has more, and sort numbers into the two groups by finding their factors.

Grade 4Prime and Composite Numbers30 minutes1 class periodPlay-BasedExplicit teaching4 StandardsCommon Core
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Define prime & composite.
  • ✓Find factor pairs.
  • ✓Use factors to decide.
  • ✓Sort numbers by type.
Essential Question

Some numbers can be split into equal groups many ways, and some refuse to split at all. What makes a number prime, and how can you tell?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Sort It · Interactive

Sort Prime & Composite

Project this and sort each number into prime or composite — tap a number, then tap which group it belongs in.

🔢 Sort each number: prime or composite?Try it
🔹 Prime
🔶 Composite
Tap a number, then tap whether it is prime or composite.
The Lesson · Play-Based Learning (Gather · Explore · Play · Reflect)

30 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Hook — Building with Rows

5 min

Some numbers of tiles make only one rectangle; others make several. Why?

👩‍🏫 Teacher Moves

  • Show tiles in rows.
  • Ask which numbers are flexible.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Sort the Numbers

12 min

Students sort numbers into prime and composite.

👩‍🏫 Teacher Moves

  • Send students to Sort Prime & Composite.
  • Drop each number.
  • Explain each choice.

🎒 Student Actions

  • Sort.
  • Say.
  • Explain.
3

Modify — Find the Factors

13 min

Students list factors to decide.

👩‍🏫 Teacher Moves

  • List all factors of a number.
  • Count them.
  • Decide prime or composite.

🎒 Student Actions

  • List.
  • Count.
  • Decide.
4

Create — Factor Hunt

15 min

Students classify a set of numbers.

👩‍🏫 Teacher Moves

  • Pick numbers to 30.
  • Find each one's factors.
  • Label prime or composite.

🎒 Student Actions

  • Pick.
  • Find.
  • Label.
5

Reflect — Two or More

5 min

Students reflect on the rule.

👩‍🏫 Teacher Moves

  • How many factors does a prime have?
  • Why is 1 neither?
  • Complete the exit ticket.

🎒 Student Actions

  • Say it.
  • Say it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics (Grade 4).

CCSS
4.OA.B.4

Find all factor pairs for a whole number 1-100; determine whether a number is prime or composite.

CCSS
6.NS.B.4

Find the greatest common factor of two whole numbers.

CCSS
MP.7

Look for and make use of structure in factor patterns.

CCSS
MP.3

Construct viable arguments and critique the reasoning of others.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Number cards with factor lists.
  • Sentence frame: “___ has ___ factors.”
  • Sort two numbers at a time.

Support & Access

IEP / 504
  • Start with small numbers to 12.
  • Build arrays with tiles first.
  • Sort primes fully before composites.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Sort numbers up to 50.
  • Use divisibility rules to speed it up.
  • Write numbers as products of primes.
Materials

What to gather

  • 📽️Projector / board
  • 🟦Tiles / counters
  • 💻Sort Prime & Composite
  • 🖼️Number cards
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

prime numbera whole number greater than 1 with exactly two factors: 1 and itselfcomposite numbera whole number with more than two factorsfactora number that divides evenly into another numberfactor pairtwo numbers that multiply to give a numbermultiplethe result of multiplying a number by a whole numberdivisibleable to be divided evenly, with no remainderwhole numbera counting number like 0, 1, 2, 3arrayobjects arranged in equal rows and columns
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
How many factors does a prime number have?
Exactly two: 1 and the number itself.
QUESTION 2
Is 12 prime or composite? How do you know?
Composite, because it has more than two factors (1, 2, 3, 4, 6, 12).
QUESTION 3
Why is the number 1 neither prime nor composite?
Because it has only one factor (itself), not two or more.

Create: go on a factor hunt.

Have students pick numbers up to 30, list the factors of each, and label it prime (exactly two factors) or composite (more than two). A printable prime-and-composite worksheet is in the Mathematics library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Prime and Composite NumbersFlip
Card 1
Term
Tap to flip →
Meaning
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Nice work!

Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Prime and Composite NumbersQuiz
Score: 0
1 / 6
Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Prime and Composite NumbersPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: array, composite number, divisible, factor, factor pair, multiple, prime number, whole number
  1. two numbers that multiply to give a number
  2. the result of multiplying a number by a whole number
  3. a counting number like 0, 1, 2, 3
  4. objects arranged in equal rows and columns
  5. a number that divides evenly into another number
  6. able to be divided evenly, with no remainder
  7. a whole number greater than 1 with exactly two factors: 1 and itself
  8. a whole number with more than two factors

Part B · Show what you learned

  1. How many factors does a prime number have?
  2. Is 12 prime or composite? How do you know?
  3. Why is the number 1 neither prime nor composite?
Answer key — Part A: 1) factor pair · 2) multiple · 3) whole number · 4) array · 5) factor · 6) divisible · 7) prime number · 8) composite number
Part B: 1) Exactly two: 1 and the number itself. 2) Composite, because it has more than two factors (1, 2, 3, 4, 6, 12). 3) Because it has only one factor (itself), not two or more.