### a x (b x c) = (a x b) x c

**Multiplication** is an operation that has various properties. One of them is the **associative property**. This property tells us that **how we group factors does not alter the result of the multiplication**, no matter how many factors there may be. We begin with an example:

### 3 x 2 x 5

The **associative property of multiplication **says that if we first multiply 3 x 2 and multiply the result by 5, it would be the same as if we first multiplied 2 x 5 and afterward multiplied by 3.

### (3 x 2) x 5 = 3 x (2 x 5)

Shall we check?

### 3 x 2 = 6

### 6 x 5 = 30

### 2 x 5 = 10

### 10 x 3 = 30

Do you see? We have obtained the same result by multiplying in two different ways. This is the **associative property of multiplication**!

Let’s do it with another example:

### 2 x 3 x 4 x 5

We will multiply in a variety of ways to **demonstrate the associative property of multiplication:**

### 2 x 3 x 4 x 5

### 2 x 3 = 6

### 6 x 4 = 24

### 24 x 5 = 120

### 3 x 5 x 2 x 4

### 3 x 5 = 15

### 15 x 2 = 30

### 30 x 4 = 120

### 5 x 2 x 4 x 3

### 5 x 2 = 10

### 10 x 4 = 40

### 40 x 3 = 120

### 4 x 5 x 3 x 2

### 4 x 5 = 20

### 20 x 3 = 60

### 60 x 2 = 120

The associative property of multiplication is easy, right?

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### Learn More:

- Review the Different Properties of Multiplication
- Properties of Multiplication
- The Distributive Property of Multiplication
- How to Apply the Associative Property in a Problem
- Applying the Commutative Property of Addition and Multiplication in a Problem

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