## Associative Property of Multiplication

**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