Learn on PengiPengi Math (Grade 4)Chapter 5: Factors, Multiples, and Patterns

Lesson 3: Prime and Composite Numbers

In this Grade 4 lesson from Pengi Math Chapter 5, students learn to define and distinguish prime and composite numbers based on their number of factors. They explore why 1 is neither prime nor composite, discover that all even numbers greater than 2 are composite, and apply the Sieve of Eratosthenes to systematically identify all prime numbers up to 100.

Section 1

Defining Prime and Composite Numbers

Property

A prime number is a whole number greater than 1 that has exactly two factors: 1 and itself.
A composite number is a whole number that has more than two factors.
The number 1 is a special case and is neither prime nor composite because it has only one factor.

Examples

Section 2

Identifying Even Composite Numbers

Property

All even numbers greater than 2 are composite numbers. This is because they are divisible by 2, meaning they have 2 as a factor in addition to 1 and the number itself.

Examples

Book overview

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Chapter 5: Factors, Multiples, and Patterns

  1. Lesson 1

    Lesson 1: Understanding Factors and Factor Pairs

  2. Lesson 2

    Lesson 2: Understanding Multiples

  3. Lesson 3Current

    Lesson 3: Prime and Composite Numbers

  4. Lesson 4

    Lesson 4: Patterns in Motion

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Defining Prime and Composite Numbers

Property

A prime number is a whole number greater than 1 that has exactly two factors: 1 and itself.
A composite number is a whole number that has more than two factors.
The number 1 is a special case and is neither prime nor composite because it has only one factor.

Examples

Section 2

Identifying Even Composite Numbers

Property

All even numbers greater than 2 are composite numbers. This is because they are divisible by 2, meaning they have 2 as a factor in addition to 1 and the number itself.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 5: Factors, Multiples, and Patterns

  1. Lesson 1

    Lesson 1: Understanding Factors and Factor Pairs

  2. Lesson 2

    Lesson 2: Understanding Multiples

  3. Lesson 3Current

    Lesson 3: Prime and Composite Numbers

  4. Lesson 4

    Lesson 4: Patterns in Motion