## Using Division to Find Unknown Factors

#### Aligned To Common Core Standard:

**Grade 3 Operations** - 3.OA.6

These worksheets and lesson concentrate on finding unknown factors of various values. The focus is on counteracting or using division as the operation in the process. What Are Unknown Factors on Division Problems? First, you need to understand what a factor is. A factor is a whole number that gets divided into another number exactly. So, when we multiply the numbers 3 and 5, we know the multiplication of these two factors will be 15. Let’s see that in the form of an equation. 3 x 5 = 15 We can also say that: 5 x 3 = 15 We also know that: 15 / 3 = 5 or 15 / 5 = 3 So, what if there was a number missing from the above equations? 3 x Y = 15 Given the equation above, can we determine the value of Y? We can, the value of Y is 5. In this case, 5 was an unknown factor. Let’s take another example. 8 / X = 2 We have to find a number that gives us the answer 2 when 8 is divided with it. The answer is 4. Let’s check the answer. 2 x 4 = 8 Or 8 / 4 = 2 Remember, these are basic factor problems, and with practice, you will be able to solve these equations faster.

### Printable Worksheets And Lessons

- Missing Parts of a Product Step-by-step Lesson- I provide a 64 block matrix to help you solve the problem.

- Guided Lesson - We extend into the use of word problems and pictures to help us understand the skill.

- Guided Lesson Explanation - In this one I breakdown the problem into every factor leading to the answer.

- Practice Worksheet - Find the missing part of the product.

- Matching Worksheet - I think this was a neat way to do it. I saw a similar problem on a practice core exam and that sparked me into this problem.

#### Homework Sheets

We mix a few coordinated word problems in here too.

- Homework 1- A city planner organizes the garbage collection for the city into 64 areas. He breaks the blocks into 8 areas. How many blocks are there in each of these areas?
- Homework 2- A baker can fit 3 muffins in each plate. How many plates should he use to create an order of 18 muffins?
- Homework 3- John made 6 equal pillars of blocks. How many blocks did he put in each pillar, if he used 42 blocks in all?

#### Practice Worksheets

It is finally time to kick off our career with algebra!

- Practice 1- Complete all the problems.
- Practice 2- Match the related math facts / equations.
- Practice 3- A little fast facts for you.

#### Math Skill Quizzes

Over the course of all the quizzes, I'm pretty sure that I covered every question type I have seen.

- Quiz 1- Kenny owns and rents 8 fleets of 6 different types of RVs. How many total RVs does Kenny own?
- Quiz 2- Jacob is 20 years old. His grandpa is 60 years old. How many times older is Jacob's grandpa?