# Ch 13: ASVAB Math: Factoring

### About This Chapter

## ASVAB Math: Factoring - Chapter Summary

Factoring is a crucial mathematical operation that you should know about if you want to understand algebraic expressions. Our video lessons will walk you through the steps of factorization so you can approach the subject with ease when you sit for the big test. Subjects in this chapter include:

- Prime factorization
- Least common multiples
- Equivalent expressions
- Decimal and fraction notation
- Variables
- Factoring by grouping and division problems

Our expert instructors have assembled some incredibly helpful video tutorials to help you understand factoring and how to use it solve math problems. Once you've got all the necessary terms down and know all the procedures, test what you've learned with our fun, helpful self-assessments.

### ASVAB Math: Factoring Chapter Objectives

The Armed Services Vocational Aptitude Battery (ASVAB) is taken by candidates for service in the United States Military, including many high school students. The paper-based Math Knowledge subtest of the ASVAB consists of 25 multiple-choice questions, or 11% of the overall test. You will have 24 minutes to finish this section. If you choose to instead take the computer-based Math Knowledge subtest, you'll have to answer 16 questions within 20 minutes. Objectives for this chapter include:

- Determining the prime factorization of a number and using it to find least common multiples
- Converting to equivalent expressions using fraction notation
- Factoring out variables
- Using numbers and variables together while factoring
- Transforming factoring into a division problem
- Verifying factors while grouping

Many questions on the ASVAB will require you to know how to factor in order to determine the correct answer. Make our video lessons and transcripts a factor in your success on the exam!

### 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. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

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### Other Chapters

Other chapters within the ASVAB Mathematics Knowledge: Study Guide & Test Prep course

- ASVAB Math: Basic Arithmetic
- ASVAB Math: Math Expressions and Formulas
- ASVAB Math: Solving Math Word Problems
- ASVAB Math: Rounding Numbers and Decimals
- ASVAB Math: Fractions
- ASVAB Math: Factorials in Math
- ASVAB Math: Reciprocals
- ASVAB Math: Types of Numbers
- ASVAB Math: Patterns & Sequences
- ASVAB Math: Exponents
- ASVAB Math: Properties of Exponents
- ASVAB Math: Algebraic Expressions and Equations
- ASVAB Math: Quadratic Equations
- ASVAB Math: Working with Quadratic Equations
- ASVAB Math: Inequalities
- ASVAB Math: Calculating Interest
- ASVAB Math: Circles
- ASVAB Math: Geometry
- About the ASVAB Test
- ASVAB Mathematics Knowledge Flashcards