# Ch 11: OAE Middle Grades Math: Number Theory

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### About This Chapter

## OAE Middle Grades Math: Number Theory - Chapter Summary

This chapter focuses on the definitions and functions of number theory to get you ready to take the OAE Middle Grades Mathematics test. By watching the video lessons in this chapter, you can prepare to answer the following types of questions on exam day:

- Finding the prime factorization of a number
- Understanding how to find the prime factorization with exponents
- Using prime factorizations to find the least common multiples
- Analyzing how to find the greatest common factor and least common multiple
- Solving word problems that include the greatest common factor and least common multiple

The videos provide a comprehensive look at number theory, offering useful definitions and functions that can help you prepare to face these questions on the exam. Instructors present the topics in a fun and engaging manner that makes the learning process entertaining.

### Objectives of the OAE Middle Grades Math: Number Theory Chapter

The OAE Middle Grades Mathematics test assesses your knowledge of the subject area to make sure you're ready to teach in the classroom and are qualified to secure a middle school math teaching license in Ohio. OAE Middle Grades Math: Number Theory chapter topics are located in the number sense and operations section of the exam, which constitutes about 17% of the test. You can watch the video lessons in this chapter to get reacquainted with number theory and its functions. Also, take self-assessment quizzes in the lessons to test your comprehension of the materials while giving yourself access to questions very similar to those you'll see on exam day.

The test is made up of multiple-choice questions that typically take the form of short paragraphs, questions or sentences. Each question is followed by four answers. You will be asked to choose one of the four as the best answer to the question posed.

### 1. 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.

### 2. 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.

### 3. 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!

### 4. 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!

### 5. 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.

### 6. 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.

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### Other Chapters

Other chapters within the Ohio Assessments for Educators - Middle Grades Mathematics: Practice & Study Guide course

- OAE Middle Grades Math: Basic Arithmetic Operations
- OAE Middle Grades Math: Solving Math Word Problems
- OAE Middle Grades Math: Properties of Numbers
- OAE Middle Grades Math: Roots & Radical Expressions
- OAE Middle Grades Math: Exponents & Exponential Expressions
- OAE Middle Grades Math: Scientific Notation
- OAE Middle Grades Math: Simplifying Whole Number Expressions
- OAE Middle Grades Math: Integers
- OAE Middle Grades Math: Rational Numbers
- OAE Middle Grades Math: Estimating & Rounding
- OAE Middle Grades Math: Introduction to Fractions
- OAE Middle Grades Math: Operations with Fractions
- OAE Middle Grades Math: Introduction to Decimals
- OAE Middle Grades Math: Operations with Decimals
- OAE Middle Grades Math: Percents
- OAE Middle Grades Math: Rates, Ratios & Proportions
- OAE Middle Grades Math: Money & Consumer Math
- OAE Middle Grades Math: Factoring
- OAE Middle Grades Math: Properties of Functions
- OAE Middle Grades Math: Graphing Functions
- OAE Middle Grades Math: Monomials & Polynomials
- OAE Middle Grades Math: Writing Algebraic Expressions
- OAE Middle Grades Math: Basic Algebraic Expressions
- OAE Middle Grades Math: Algebraic Distribution
- OAE Middle Grades Math: Writing & Solving One-Step Equations
- OAE Middle Grades Math: Writing & Solving Two-Step Equations
- OAE Middle Grades Math: Simplifying & Solving Rational Expressions
- OAE Middle Grades Math: The Coordinate Graph
- OAE Middle Grades Math: Linear Equations
- OAE Middle Grades Math: Systems of Linear Equations
- OAE Middle Grades Math: Negative Numbers
- OAE Middle Grades Math: Absolute Value
- OAE Middle Grades Math: Inequalities
- OAE Middle Grades Math: Number Patterns & Sequences
- OAE Middle Grades Math: Measurement
- OAE Middle Grades Math: Perimeter & Area
- OAE Middle Grades Math: Polyhedrons & Geometric Solids
- OAE Middle Grades Math: Symmetry, Similarity & Congruence
- OAE Middle Grades Math: Properties of Lines
- OAE Middle Grades Math: Triangles
- OAE Middle Grades Math: Triangle Theorems & Proofs
- OAE Middle Grades Math: Similar Polygons
- OAE Middle Grades Math: The Pythagorean Theorem
- OAE Middle Grades Math: Quadrilaterals
- OAE Middle Grades Math: Circles
- OAE Middle Grades Math: Circular Arcs & Measurement
- OAE Middle Grades Math: Transformations
- OAE Middle Grades Math: Data & Graphs
- OAE Middle Grades Math: Sets
- OAE Middle Grades Math: Statistics
- OAE Middle Grades Math: Data Collection
- OAE Middle Grades Math: Samples & Populations
- OAE Middle Grades Math: Probability