# Ch 3: CUNY Assessment Test in Math: Number Theory

### About This Chapter

## CUNY Assessment Test in Math: Number Theory - Chapter Summary

This chapter's lessons help you refresh your understanding of topics including scientific notation, factorization and other concepts regarding number theory. You can practice solving word problems, too. Our videos and other study tools can help you prepare for questions on:

- Converting between standard notation and scientific notation
- Comparison of number written in scientific notation
- Prime and composite numbers
- Finding a number's prime factorization
- How to determine greatest common factor and least common multiple

You can watch these lessons as your schedule permits, on a computer, smartphone or tablet. Short quizzes follow each lesson, and we provide a timeline with video links that make it easy to re-visit specific topics that you want to review. You can print out a sheet of quiz questions for offline study, and use the Dashboard to monitor your progress through the course.

### CUNY Assessment Test in Math: Number Theory Chapter Objectives

Students admitted to CUNY schools take the CUNY Assessment Test in Math to determine their placement in college math classes. The test has four sections, and this chapter's lessons prepare you for questions on number theory in the section on numerical skills/pre-algebra.

All questions on the test are multiple choice, like the questions on our lesson quizzes and the chapter exam. In addition to acquainting you with the types of questions you'll encounter on the assessment test, our quizzes offer a chance to see where your knowledge may be lacking.

### 1. Converting Numbers to Scientific Notation

After watching this video lesson, you will be able to convert any number you come across into scientific notation. You will also learn why scientific notation is used and where you are most likely to see it.

### 2. Comparing Numbers Written in Scientific Notation

After watching this video lesson, you will be able to compare numbers written in scientific notation with each other. You will learn how to tell which is larger and which is smaller.

### 3. Identifying Prime & Composite Numbers

In this video lesson, you will learn how to identify both prime and composite numbers. You will also learn what makes the numbers unique, as well as the characteristics of both these types of numbers.

### 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 CUNY Assessment Test in Math: Practice & Study Guide course

- CUNY Assessment Test in Math: Basic Arithmetic Operations
- CUNY Assessment Test in Math: Properties of Numbers
- CUNY Assessment Test in Math: Factoring
- CUNY Assessment Test in Math: Estimating & Rounding
- CUNY Assessment Test in Math: Whole Numbers
- CUNY Assessment Test in Math: Negative Numbers
- CUNY Assessment Test in Math: Integers
- CUNY Assessment Test in Math: Introduction to Decimals
- CUNY Assessment Test in Math: Operations with Decimals
- CUNY Assessment Test in Math: Introduction to Fractions
- CUNY Assessment Test in Math: Operations with Fractions
- CUNY Assessment Test in Math: Percents
- CUNY Assessment Test in Math: Ratios & Proportions
- CUNY Assessment Test in Math: Averages
- CUNY Assessment Test in Math: Probability
- CUNY Assessment Test in Math: Logic
- CUNY Assessment Test in Math: Matrix Operations & Determinants
- CUNY Assessment Test in Math: Exponents & Exponential Expressions
- CUNY Assessment Test in Math: Algebraic Expressions
- CUNY Assessment Test in Math: Linear Equations
- CUNY Assessment Test in Math: Inequalities
- CUNY Assessment Test in Math: Absolute Value
- CUNY Assessment Test in Math: Quadratic Equations
- CUNY Assessment Test in Math: Polynomials
- CUNY Assessment Test in Math: Rational Expressions
- CUNY Assessment Test in Math: Radical Expressions
- CUNY Assessment Test in Math: Systems of Equations
- CUNY Assessment Test in Math: Complex Numbers
- CUNY Assessment Test in Math: Functions
- CUNY Assessment Test in Math: Analytical Geometry
- CUNY Assessment Test in Math: Sequences & Series
- CUNY Assessment Test in Math: Using Trigonometric Functions
- CUNY Assessment Test in Math: Trigonometric Graphs
- CUNY Assessment Test in Math: Solving Trigonometric Equations
- CUNY Assessment Test in Math: Trigonometric Identities
- CUNY Assessment Test in Math Flashcards