# Ch 15: MTTC Mathematics (Elementary): Factoring & Divisibility

### About This Chapter

## MTTC Mathematics (Elementary): Factoring & Divisibility - Chapter Summary

The MTTC Mathematics (Elementary) exam will include questions about factoring and divisibility. This chapter includes lessons that will help you prepare by reviewing:

- Definitions of factoring and factor pairs
- Tips for teaching factoring
- How to find factors and multiples of whole numbers
- Equivalent expressions, fraction notation and factoring by grouping
- How to factor out variables
- Ways to combine numbers and variables when factoring
- Turning factoring into division
- Divisibility by various numbers

Our expert instructors designed each video lesson to walk you through these mathematical processes. You'll also discover interactive quizzes that allow you to find the solutions to problems involving factoring and divisibility.

### 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. What Is a Factor Pair?

In this lesson, we'll review factors and products before learning about factor pairs. We'll then view a few examples of finding the factor pairs of different products. After, you can test your knowledge in a brief quiz.

### 3. How to Teach Factoring

Learning how to factor is an important foundation to many more complex mathematical activities. This lesson will offer you a range of choices that will help you teach factoring to children.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. Divisibility by 2, 3, and 4

In this video lesson, you will learn what it means to be divisible. Also, you'll see what numbers are divisible by 2, 3, and 4. You will also learn how you can check if something is divisible by these numbers.

### 12. Divisibility by 5, 6, and 7

In this video lesson, we will see what numbers can be divided equally by 5, 6, and 7. Learn the pattern that you can use to find other numbers divisible by 5, 6 and 7. Learn how you can visualize divisibility.

### 13. Divisibility by 8, 9, and 10

In this video lesson, we will see what numbers are divisible by 8, 9, and 10. You will learn how you can figure out these numbers yourself. Learn what it means to be divisible.

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### Other Chapters

Other chapters within the MTTC Mathematics (Elementary) (089): Practice & Study Guide course

- MTTC Mathematics (Elementary): Mathematical Reasoning
- MTTC Mathematics (Elementary): Problem-Solving Strategies
- MTTC Mathematics (Elementary): Proportions & Ratios
- MTTC Mathematics (Elementary): Principles of Fractions
- MTTC Mathematics (Elementary): Operations with Fractions
- MTTC Mathematics (Elementary): Introduction to Decimals
- MTTC Mathematics (Elementary): Operations with Decimals
- MTTC Mathematics (Elementary): Percents
- MTTC Mathematics (Elementary): Whole Numbers & Number Terms
- MTTC Mathematics (Elementary): Real Numbers
- MTTC Mathematics (Elementary): Properties of Numbers
- MTTC Mathematics (Elementary): Integers
- MTTC Mathematics (Elementary): Rational Numbers
- MTTC Mathematics (Elementary): Mathematical Operations
- MTTC Mathematics (Elementary): Prime Factorization
- MTTC Mathematics (Elementary): Roots
- MTTC Mathematics (Elementary): Exponents
- MTTC Mathematics (Elementary): Exponential Expressions & Scientific Notation
- MTTC Mathematics (Elementary): Absolute Value
- MTTC Mathematics (Elementary): Sequences & Series
- MTTC Mathematics (Elementary): Patterns & Functions
- MTTC Mathematics (Elementary): Understanding Algebraic Expressions
- MTTC Mathematics (Elementary): Solving Algebraic Expressions
- MTTC Mathematics (Elementary): Linear Equations
- MTTC Mathematics (Elementary): Graphing Linear Equations
- MTTC Mathematics (Elementary): Properties of Polynomial Functions
- MTTC Mathematics (Elementary): Properties of Quadratic Functions
- MTTC Mathematics (Elementary): Properties of Rational Functions
- MTTC Mathematics (Elementary): Exponential & Logarithmic Functions
- MTTC Mathematics (Elementary): Trigonometric Functions
- MTTC Mathematics (Elementary): Calculus Concepts
- MTTC Mathematics (Elementary): Principles of Measurement
- MTTC Mathematics (Elementary): Lines in Geometry
- MTTC Mathematics (Elementary): Geometric Figures
- MTTC Mathematics (Elementary): Triangles
- MTTC Mathematics (Elementary): Triangle Proofs & Theorems
- MTTC Mathematics (Elementary): Quadrilaterals
- MTTC Mathematics (Elementary): Polygons
- MTTC Mathematics (Elementary): Circles & Circular Arcs
- MTTC Mathematics (Elementary): Principles of Geometric Solids
- MTTC Mathematics (Elementary): Symmetry & Parallel Lines
- MTTC Mathematics (Elementary): Transformations in Geometry
- MTTC Mathematics (Elementary): Coordinate Geometry
- MTTC Mathematics (Elementary): Organizing Data
- MTTC Mathematics (Elementary): Summarizing Data
- MTTC Mathematics (Elementary): Sampling & Prediction
- MTTC Mathematics (Elementary): Regression & Correlation
- MTTC Mathematics (Elementary): Probability
- MTTC Mathematics (Elementary): Probability Distributions
- MTTC Mathematics (Elementary): Discrete Mathematics
- MTTC Mathematics (Elementary) Flashcards