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Ch 3: Number Theory & Factoring

About This Chapter

Let our instructors help you review information regarding number theory and factoring. Watch our video lessons, test yourself with our practice quizzes and track your progress using the dashboard feature.

Number Theory & Factoring - Chapter Summary

Follow the lessons in this chapter to develop an understanding of number theory and factoring. These lessons include topics such as:

  • Identifying prime and composite numbers
  • Finding the prime factorization of a number with or without exponents
  • Determining greatest common factors and least common multiples
  • Finding factors and multiples of whole numbers

Our knowledgeable instructors will guide you through video lessons, and you can see how far you've gotten in the chapter with your own dashboard. You can also use the dashboard to contact our instructors if you have any questions.

9 Lessons in Chapter 3: Number Theory & Factoring
Test your knowledge with a 30-question chapter practice test
Identifying Prime & Composite Numbers

1. Identifying Prime & Composite Numbers

In this video lesson, you will learn how to identify both prime and composite numbers. You will also learn what makes the numbers unique, as well as the characteristics of both these types of numbers.

How to Find the Prime Factorization of a Number

2. How to Find the Prime Factorization of a Number

The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.

Finding the Prime Factorization with Exponents

3. Finding the Prime Factorization with Exponents

After watching this video lesson, you will be able to factor any number using just prime numbers and exponents. Learn how to break apart any number you are given. Then, test your new knowledge with some examples.

How to Find the Greatest Common Factor

4. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

How to Find the Least Common Multiple

5. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

Using Prime Factorizations to Find the Least Common Multiples

6. Using Prime Factorizations to Find the Least Common Multiples

Finding the least common multiple can seem like a lot of work. But we can use prime factorization as a shortcut. Find out how and practice finding least common multiples in this lesson.

Word Problems: Greatest Common Factor & Least Common Multiple

7. Word Problems: Greatest Common Factor & Least Common Multiple

In this video lesson, you will learn what kinds of word problems you can expect to see that involve the greatest common factor or the least common multiple. Learn what you need to do to understand these problems and then to solve them.

Finding Factors of Whole Numbers

8. Finding Factors of Whole Numbers

After watching this video lesson, you will be able to factor any whole number that you are given. You will learn what factors are and how a whole number can have several different factors.

Finding Multiples of Whole Numbers

9. Finding Multiples of Whole Numbers

After watching this video lesson, you will become a pro at finding multiples of whole numbers. Learn what they are and how you can visualize the process to make it easier for you.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTLE Middle Level Mathematics: Practice & Study Guide course

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