# Ch 24: MEGA Middle School Math: Factoring

### About This Chapter

## MEGA Middle School Math: Factoring - Chapter Summary

The lessons of this chapter will help you review the steps used to factor in algebra, factor out factors of expressions and whole numbers, and find multiples of numbers. These lessons have been placed in this course so that you may improve these skills and use them when answering algebraic questions on the Missouri Educator Gateway Assessments (MEGA) Middle School Education Mathematics exam. Our expert instructors will discuss:

- Equivalent expressions and fraction notations
- Combining numbers and variables
- Transforming factoring into division problems
- Steps used when factoring by grouping
- Finding factors and multiples of whole numbers

These lessons are compatible with tablets and other mobile devices so that you may have a convenient way to study factoring in algebra and arithmetic. Along with these lesson videos, this chapter has a series of transcripts, quizzes and a practice chapter exam. Read the transcripts and complete the quizzes to discover areas of weakness. You can then take the practice chapter exam to see if you are ready for questions on the MEGA Middle School Education: Mathematics exam about factoring.

### MEGA Middle School Math: Factoring Objectives

The state of Missouri issues the MEGA Middle School Education Mathematics exam to its middle-grades-math-teacher candidates to ensure that they have the competencies required to teach middle-grades mathematics. Completing this computer-based certification exam involves answering 80 multiple-choice questions in 2.5 hours. Of these questions, 19% belong to the content domain of Numbers and Operations, and another 36% belong to the content domain of Algebra and Functions. This chapter has been set up to help you prepare for questions in both of these domains that will require you to use factoring techniques.

### 1. What is Factoring in Algebra? - Definition & Example

Factoring with ordinary numbers involves knowing that 6 is the product of 2 and 3. But what about factoring in algebra? In this lesson, we'll learn the essential elements of algebra factoring.

### 2. Equivalent Expressions and Fraction Notation

Did you know that two fractions can look completely different, but actually be the same? In this lesson, we'll learn about equivalent fractions. We'll also learn to simplify fraction notation.

### 3. Factoring Out Variables: Instructions & Examples

Let's find the factors. In this lesson, we'll learn how to factor out numbers or variables from an expression. We'll even learn how to factor variables with exponents.

### 4. Combining Numbers and Variables When Factoring

With an expression, you know how to factor out a number, and you know how to factor out a variable. In this lesson, we'll learn how to factor out combined numbers and variables.

### 5. Transforming Factoring Into A Division Problem

Watch this video lesson to learn how you can factor a problem by turning it into a division problem. Learn how this actually helps you to factor and keep your numbers straight.

### 6. Factoring By Grouping: Steps, Verification & Examples

How do you factor an expression if all the terms don't share a common factor? Grouping! In this lesson, we'll learn how to use grouping to help factor expressions.

### 7. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

### 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.

### 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.

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### Other Chapters

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

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