Ch 17: MTTC Math (Secondary): Number Theory

About This Chapter

Learn more about number theory before you take the MTTC Math (Secondary) exam. Complete with examples and step-by-step instructions, this chapter's video lessons can serve as tutorials that prepare you for some of the test's questions.

MTTC Math (Secondary): Number Theory - Chapter Summary

Pair this chapter's video lessons on number theory with your existing knowledge as you prepare to take the MTTC Math (Secondary) examination. Brush up on prime and composite numbers, revisit prime factorization and interpret various mathematical theorems while watching the brief, educational video lessons. This chapter also prepares you for test questions about the following:

  • Properties of even and odd numbers
  • Finding the least common multiple and greatest common factor
  • Solving word problems that deal with LCMs and GCFs
  • The life and famous works of Euclid
  • Fermat's last theorem and the fundamental theorems of algebra and calculus

Absorbing the information in this chapter's video lessons on number theory can enhance your preparedness to answer related questions on the MTTC Math (Secondary) examination and, ultimately, to teach the subject. Seasoned instructors present the material, which you can study on your own time. Take advantage of the clickable links to key terms, the text transcripts that accompany the videos and the self-assessment quizzes that follow each lesson.

14 Lessons in Chapter 17: MTTC Math (Secondary): 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.

Modular Arithmetic & Congruence Classes

10. Modular Arithmetic & Congruence Classes

Modular arithmetic revolves around remainders; we'll explore what this means in greater detail and learn how to recognize congruence classes. We'll also learn how to add, subtract, and multiply in modular arithmetic.

Perfect Numbers & Mersenne Primes

11. Perfect Numbers & Mersenne Primes

Although computers facilitate searches for prime numbers and perfect numbers, fundamental number theory is still very relevant. In this lesson we explore how a particular type of prime number, the Mersenne prime, relates to perfect numbers.

Fermat's Last Theorem: Definition & Example

12. Fermat's Last Theorem: Definition & Example

Considered a mathematical mystery for hundreds of years, watch this video lesson to learn what Fermat's Last Theorem tells us and why mathematicians struggled for years to prove it true.

Fundamental Theorem of Algebra: Explanation and Example

13. Fundamental Theorem of Algebra: Explanation and Example

In this lesson, you will learn what the Fundamental Theorem of Algebra says. You will also learn how to apply this theorem in determining solutions of polynomial functions.

The Fundamental Theorem of Calculus

14. The Fundamental Theorem of Calculus

The fundamental theorem of calculus is one of the most important equations in math. In this lesson we start to explore what the ubiquitous FTOC means as we careen down the road at 30 mph.

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 MTTC Mathematics (Secondary) (022): Practice & Study Guide course

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