Ch 5: MEGA Middle School Math: Number Theory

About This Chapter

These lessons will allow you to review the different types of numbers, their properties, greatest common factors, least common multiples and factoring so that you will be prepared for related material on the MEGA Middle School Education Mathematics exam.

MEGA Middle School Math: Number Theory - Chapter Summary

In these lesson videos, our professional instructors will help you improve your mathematical knowledge and skills by discussing the properties of the different types of numbers, common multiples and factoring. Following your exploration of these lessons, you should be better prepared for exam questions that may require you to:

  • Identify prime and composite numbers
  • Identify properties of even and odd numbers
  • Complete the prime factorization of a number
  • Find the greatest common factor (GCF) of numbers
  • Find the Least common multiple (LCM) of numbers
  • Complete word problems with GCF and LCM

For an alternative way of reviewing of this material, you can also read the lesson transcripts. The lessons are animated, and they're narrated by math professionals who work to make the learning process fun. Explore the lessons on your computer or tablet, and ask questions of the experts at Study.com when you visit the dashboard area.

MEGA Middle School Math: Number Theory Objectives

If you are wanting to become a middle-grades math teacher in the state of Missouri, you will need to score at least a 220 on the Missouri Educator Gateway Assessments (MEGA) Middle School Education Mathematics exam. To test your mathematical skills and knowledge, this computer-based certification exam will ask you a series of 80 multiple-choice questions in a 2-hour-and-30-minute session. Of these questions, 19% (Number and Operations section) will test your understanding of number theory.

9 Lessons in Chapter 5: MEGA Middle School Math: Number Theory
Test your knowledge with a 30-question chapter practice test
What Are Prime Numbers? - Definition & Examples

1. What Are Prime Numbers? - Definition & Examples

In this lesson, we'll do a brief review of factors, and then learn how factors make prime numbers unique. You can also test your knowledge with a brief quiz.

What Are Composite Numbers? - Definition & Examples

2. What Are Composite Numbers? - Definition & Examples

In this lesson, you'll learn what composite numbers are and briefly touch on prime numbers. You'll also learn a couple of rules about composite numbers. Then, you can test your new knowledge with a brief quiz.

What Are Odd & Even Numbers? - Definition & Examples

3. What Are Odd & Even Numbers? - Definition & Examples

In this lesson, you'll learn what odd and even numbers are with the help of some visual aids. You'll also learn some interesting properties of odd and even numbers. Then, you can test your new knowledge with a brief quiz.

How to Find the Prime Factorization of a Number

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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.

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.
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Other Chapters

Other chapters within the MEGA Middle School Mathematics: Practice & Study Guide course

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