 # Division and the Associative Property

Related Topics:
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades

Examples, solutions, and videos to help Grade 4 students learn how to use division and the associative property to test for factors and observe patterns.

Common Core Standards: 4.OA.4

### NYS Math Module 3 Grade 4 Lesson 23 Concept Development

Problem 1: Use division to find factors of larger numbers.
Find the unknown factor: 28 = 7 × ___.

Problem 2: Use the associative property to find additional factors of larger numbers.

Problem 3: Use division or the associative property to find factors of larger numbers.

### NYS Math Module 3 Grade 4 Lesson 23 Problem Set

a. Is 2 a factor of 84?
b. Is 2 a factor of 83?

2. Use the associative property to find more factors of 24 and 36.
a. 24 = 12 × 2
= ( ___ × 3) × 2
= ___ × (3 × 2)
= ___ × 6
= ___
b. 36 = ____ × 4
= ( ____ × 3) × 4
= ____ × (3 × 4)
= ____ × 12
= ____ 3. In class, we used the associative property to show that when 6 is a factor, then 2 and 3 are factors, because 6 = 2 × 3. Use the fact that 8 = 4 × 2 to show that 2 and 4 are factors of 56, 72, and 80.

56 = 8 × 7
72 = 8 × 9
80 = 8 × 10

### NYS Math Module 3 Grade 4 Lesson 23 Homework

a. Is 2 a factor of 72?
c. Is 3 a factor of 72?
e. Is 6 a factor of 72?
f. Is 4 a factor of 60?
h. Is 8 a factor of 60?

2. Use the associative property to find more factors of 12.
a. 12 = 6 × 2
= ___ × (3 × 2)
= ___ × 6
= ___

3. In class, we used the associative property to show that when 6 is a factor, then 2 and 3 are factors, because 6 = 2 × 3. Use the fact that 10 = 5 × 2 to show that 2 and 5 are factors of 70.

4. The first statement is false. The second statement is true. Explain why using words, pictures, or numbers.
If a number has 2 and 6 as factors, then it has 12 as a factor.
If a number has 12 as a factor, then both 2 and 6 are factors.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 