Learn on PengiEureka Math, Grade 4Chapter 14: Reasoning with Divisibility

Lesson 2: Use division and the associative property to test for factors and observe patterns.

In this Grade 4 Eureka Math lesson, students learn to use division to test whether a number is a factor of a larger number by checking for a remainder, and apply the associative property to identify additional factors. Students practice finding factor pairs, distinguishing prime from composite numbers, and recognizing divisibility patterns with multi-digit numbers. This lesson is part of Chapter 14: Reasoning with Divisibility and builds foundational skills for understanding number relationships.

Section 1

Identifying Factors with Division

Property

A number, bb, is a factor of another number, aa, if the division of aa by bb results in a remainder of 00.

Examples

Section 2

Finding New Factors with the Associative Property

Property

If a number is expressed as a product of factors, you can multiply those factors together in groups to find new factors. If N=a×b×cN = a \times b \times c, then the product (a×b)(a \times b) is also a factor of NN.

Examples

Book overview

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Chapter 14: Reasoning with Divisibility

  1. Lesson 1

    Lesson 1: Find factor pairs for numbers to 100, and use understanding of factors to define prime and composite.

  2. Lesson 2Current

    Lesson 2: Use division and the associative property to test for factors and observe patterns.

  3. Lesson 3

    Lesson 3: Determine if a whole number is a multiple of another number.

  4. Lesson 4

    Lesson 4: Explore properties of prime and composite numbers to 100 by using multiples.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Identifying Factors with Division

Property

A number, bb, is a factor of another number, aa, if the division of aa by bb results in a remainder of 00.

Examples

Section 2

Finding New Factors with the Associative Property

Property

If a number is expressed as a product of factors, you can multiply those factors together in groups to find new factors. If N=a×b×cN = a \times b \times c, then the product (a×b)(a \times b) is also a factor of NN.

Examples

Book overview

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

Continue this chapter

Chapter 14: Reasoning with Divisibility

  1. Lesson 1

    Lesson 1: Find factor pairs for numbers to 100, and use understanding of factors to define prime and composite.

  2. Lesson 2Current

    Lesson 2: Use division and the associative property to test for factors and observe patterns.

  3. Lesson 3

    Lesson 3: Determine if a whole number is a multiple of another number.

  4. Lesson 4

    Lesson 4: Explore properties of prime and composite numbers to 100 by using multiples.