# Ch 5: AEPA Middle Grades Math: Number Theory

### About This Chapter

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

In this chapter, you can review prime and composite numbers, in addition to revisiting the concepts of even and odd numbers. Practice finding prime factorizations, greatest common factors and least common multiples through these fun videos. After you've worked your way through these lessons, you should be able to answer any questions about the following topics:

- Ordering factors from least to greatest, using exponents when necessary
- Finding the least common multiple by using prime factorizations
- Solving word problems including greatest common factors and least common multiples

Experienced instructors present the informative video lessons that also include print transcripts and brief, self-assessment quizzes. You can watch the videos as many times as you want, and you could use the handy video tags to go back over select sections with ease.

### AEPA Middle Grades Math: Number Theory Chapter Objectives

Questions pertaining to this chapter are covered in the number sense and operations section of the test; this section makes up about 17% of the exam. You may be assessed for your ability to apply concepts like prime factorization, divisibility rules and greatest common factors to problem situations. In addition, you should feel comfortable with analyzing relationships between real number subsets.

The 150 test questions are multiple choice, and you'll have a little over four hours for completion. Test items contain a statement or question with four possible answers from which you'll select the best option. Our short quizzes that follow each lesson can give you valuable practice for test day and help you determine any areas still in need of review.

### 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 AEPA Middle Grades Mathematics (NT203): Practice & Study Guide course

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