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3rd-5th Grade Math: Practice & Review37 chapters | 252 lessons

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Lesson Transcript

Instructor:
*Dina Albert*

In this lesson, you'll learn how to find missing factors in multiplication problems using tools you may already have seen such as multiplication charts, factor trees, area models, and division (with a calculator).

If we want to understand how to find a missing factor, we first need to understand the definition of theses following terms: **product** and **factor**.

- A
**product**is the answer we get when we multiply two or more factors. - A
**factor**is a number multiplied by another number to get a product.

Multiplication, factor, and product all work together to form a multiplication expression. Let's also take a look at a **multiplication chart**.

The products are all in the middle and the factors are the numbers on the side and at the top of the chart.

You use factors all the time! When you are buying 2 gifts for each of your friends, and you have 5 friends, you are thinking of factors:

- 5 friends * 2 gifts = 10 gifts

5 and 2 are factors in this situation and 10 is the product (the result).

Or maybe you need two notebooks for a class and you have three classes:

- 3 classes * 2 notebooks = 6 notebooks

3 and 2 are factors, while 6 is the product.

Sometimes, you have a box of 12 cookies and need to share equally with 3 of your friends. You and 3 friends make 4 people all together. In this case, we have a total product, but we are missing a factor: 4(people) x ____ cookies = 12 cookies total.

In this case, we can look back at our multiplication chart for help in finding the missing factor. 12 is the product, and we will find that on the white part of the chart. 4 is a factor, and we will find that on the side of our chart.

Notice the red lines that are connecting our product of 12 to the outsides of the chart: the 4 on the left and the 3 at the top.

The missing factor, according to our chart, is 3. Now, let's make sure our answer is true:

4 people * 3 cookies = 12 cookies total

Another way we could have found our answer is to use a calculator and divide. If factor times factor equals product, and the opposite of multiplying is dividing, then we can say:

- Product / Factor = Missing Factor

12 / 4 = 3 (If you don't know how to divide, you can use a calculator for this.)

Here are a few more examples of factors in math:

**Factor Tree**(kind of like a Christmas tree): The product goes on the top, and the branches lead to the factors.

**Area Model**: An area model is a rectangle with sides that surround a certain number of squares.

Notice that there are two factors: three squares going down, five squares across. The product is all the squares inside the rectangle.

A **factor** is a number multiplied by another number to make a product. A **product** is the answer we get when we multiply two or more factors. There are several tools for finding factors, which include:

- Looking at a
**multiplication chart** - Drawing a
**factor tree** - Drawing an
**area model** - Using a Calculator to divide: Product / Factor = Missing Factor

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Lesson
13 in chapter 7 of the course:

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3rd-5th Grade Math: Practice & Review37 chapters | 252 lessons

- Go to Addition

- Go to Subtraction

- How to Perform Multiplication: Steps & Examples 5:22
- How to Multiply One-Digit Numbers
- Using Mental Math for Multiplication 4:44
- Learning Multiplication Facts to 10 Using Commutative Property
- Learning Multiplication Facts to 10 Using Rectangular Array 4:02
- Learning Multiplication Facts to 10 Using Skip Counting
- Learning Multiplication Facts to 10 Using Doubling
- Learning Multiplication Facts to 10 Using Finger Tricks
- Multiplying a Two-Digit Number by a One-Digit Number
- How to Multiply Three or More Numbers
- How to Multiply Numbers Ending in Zeroes 2:56
- How to Complete the Multiplication Sentence
- Finding the Missing Factor 3:17
- The Relationship Between Multiplication & Division
- Go to Multiplication

- Go to Division

- Go to Angles

- Go to Money

- Go to Time

- Go to Integers

- Go to Percents

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