# Division and the Associative Property

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

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Lessons for Grade 4

Common Core For Grade 4

## New York State Common Core Math Module 3, Grade 4, Lesson 23

### 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

1. Explain your thinking or use division to answer the following.

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

1. Explain your thinking or use division to answer the following.

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.

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