# Ch 3: SBA Math - Grade 7: Number Theory

### About This Chapter

## SBA Math - Grade 7: Number Theory - Chapter Summary

Students can review facts and concepts regarding numbers in these lessons as they study for the SBA Math exam. Our videos and quizzes can help the students tackle exam questions on the following topics:

- Prime and composite numbers
- Odd and even numbers
- Prime factorization
- Greatest common factors
- Least common multiples
- Word problems involving greatest common factors and least common multiples

Our expert instructors have created lessons that are engaging and informative, filled with practice problems and examples. Students can watch the videos on their own schedules, using a computer or mobile device.

### 1. What Are Prime Numbers? - Definition & Examples

In this lesson, we'll do a brief review of factors, and then learn how factors make prime numbers unique. You can also test your knowledge with a brief quiz.

### 2. What Are Composite Numbers? - Definition & Examples

In this lesson, you'll learn what composite numbers are and briefly touch on prime numbers. You'll also learn a couple of rules about composite numbers. Then, you can test your new knowledge with a brief quiz.

### 3. What Are Odd & Even Numbers? - Definition & Examples

In this lesson, you'll learn what odd and even numbers are with the help of some visual aids. You'll also learn some interesting properties of odd and even numbers. Then, you can test your new knowledge with a brief quiz.

### 4. 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.

### 5. 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.

### 6. 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!

### 7. 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!

### 8. 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.

### 9. 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 Smarter Balanced Assessments - Math Grade 7: Test Prep & Practice course

- SBA Math - Grade 7: Basic Arithmetic Operations
- SBA Math - Grade 7: Logic & Mathematical Reasoning
- SBA Math - Grade 7: Introduction to Fractions
- SBA Math - Grade 7: Operations with Fractions
- SBA Math - Grade 7: Ratios, Rates & Proportions
- SBA Math - Grade 7: Percents
- SBA Math - Grade 7: Introduction to Decimals
- SBA Math - Grade 7: Operations with Decimals
- SBA Math - Grade 7: The Coordinate Graph
- SBA Math - Grade 7: Inequalities
- SBA Math - Grade 7: Factoring
- SBA Math - Grade 7: Rational Numbers
- SBA Math - Grade 7: Basic Algebraic Expressions
- SBA Math - Grade 7: Writing Algebraic Expressions
- SBA Math - Grade 7: Algebraic Distribution
- SBA Math - Grade 7: One-Step Equations
- SBA Math - Grade 7: Rational Expressions
- SBA Math - Grade 7: Measurement
- SBA Math - Grade 7: Lines & Angles
- SBA Math - Grade 7: Perimeter & Area
- SBA Math - Grade 7: Surface Area & Volume of Geometric Solids
- SBA Math - Grade 7: Circles
- SBA Math - Grade 7: Data & Graphs
- SBA Math - Grade 7: Statistics
- SBA Math - Grade 7: Samples & Populations
- SBA Math - Grade 7: Probability
- Smarter Balanced Assessments - Math Grade 7 Flashcards