Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

Are you a student or a teacher?

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 75,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

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.

What is divisibility? **Divisibility** is being able to be divided equally by a certain number. Think of sharing a bunch of candies that you have with your friends. If you have 3 friends and 3 candies, then you can give each friend 1 candy. Everyone gets an equal share. In math, we call this divisibility by 3. If you can't give your friends an equal share, then we say we don't have divisibility by 3.

We also use the word 'divisible.' We will usually say that something is divisible by something else. So, we will say that 3 is divisible by 3 because you can divide 3 candies by 3 friends equally. Remember what the symbol looks like for division? Yes, it is a horizontal line with a dot on top and a dot on the bottom. In this video lesson, we will look at what numbers can be divided by 2, 3, and 4. Are you ready to begin?

Let's stick to our sharing candies with friends example. In this case, divisibility by 2; we have 2 friends that we want to share candies with. Can you think of a number of candies that can be divided equally between these two friends? Is it 2? Yes, if you have 2 candies, you can definitely share the 2 candies equally between your 2 friends.

How many candies would each friend get? 1. So, 2 is divisible by 2, and 2 divided by 2 equals 1 since that is the number of candies that each friend got. Think of splitting the number of candies you have evenly into 2 groups. If you can do that, then the number is divisible by 2.

What's another number that is divisible by 2? Let's try 4. How can you divide four candies equally between 2 friends? Each friend can get 2 candies. So, we have 4 divided by 2 is 2. What other numbers have divisibility by 2? 6, 8, 10, 12, and so on. Do you see a pattern? Yes, each number is the previous number plus 2. You can continue this pattern to find even more numbers that are divisible by 2.

Let's continue on to the number 3. Now you have 3 friends. How many candies do you need so that you can share them equally between your friends? The first number is 3, since this means that each friend will get 1 candy each. So, 3 is divisible by 3. 3 divided by 3 is 1.

What's another number? 6. How many candies will each friend get? The answer is 2. So, 6 is divisible by 3. 6 divided by 3 is 2. What other numbers are there? 9, 12, 15, 18, and so on. Do you see a pattern here, too? Yes, it is very similar to the pattern for divisibility by 2, except now we are adding 3 to each previous number.

Now, what about divisibility by 4? What do you think the pattern will be? Will it be 4, 8, 12, 16, and so on? Yes, you are right! We start with our first number that can be divided equally between 4 friends, 4 candies, and then we continue by adding 4 to each previous number. 4 divided by 4 is 1. 8 divided by 4 is 2. 12 divided by 4 is 3. And the pattern continues.

What did we learn? We learned that **divisibility** means being able to be divided equally by a certain number. In math, we also use the word 'divisible.' When we say 12 is divisible by 4, it means that we can split 12 candies evenly between 4 friends. In this video lesson, we saw the numbers that are divisible by 2, 3, and 4. We learned that they all have a pattern.

For divisibility by 2, we start with the number 2 and then continue by adding 2 to each previous number. We get 2, 4, 6, 8, 10, etc. For divisibility by 3, we start with 3 and then we keep adding 3 to each previous number. We get 3, 6, 9, 12, etc. For divisibility by 4, we begin with 4 and then continue adding 4 to each previous number. We get 4, 8, 12, 16, etc.

After this lesson is done you should be able to:

- State the meaning of
*divisibility* - Recall how to find the divisibility patterns for 2, 3 and 4

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackDid you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
1 in chapter 2 of the course:

Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

- Computer Science 332: Cybersecurity Policies and Management
- Introduction to SQL
- Computer Science 203: Defensive Security
- GRE Information Guide
- Computer Science 310: Current Trends in Computer Science & IT
- Probability & Sample Space
- Polynomials Overview
- FTCE: Equations and Inequalities
- FTCE: Analyzing Data and Drawing Conclusions
- FTCE: Data Analysis & Visualization
- What is the ASCP Exam?
- ASCPI vs ASCP
- MEGA Exam Registration Information
- MEGA & MoGEA Prep Product Comparison
- PERT Prep Product Comparison
- MTLE Prep Product Comparison
- What is the MTLE Test?

- Complex Variables: Definitions & Examples
- Real Analysis: Completeness of the Real Numbers
- Ancient Israel: Social Structure & Political Organization
- Holden Caulfield in Catcher in the Rye: Character & Analysis
- Life Cycle of a Sunflower Lesson Plan
- The Ugly Duckling Lesson Plan
- Types of Conflict Lesson Plan
- Quiz & Worksheet - Determining the Number of Main Ideas in a Text
- Quiz & Worksheet - Mildred in Fahrenheit 451
- Order of Events in Narratives: Quiz & Worksheet for Kids
- Quiz & Worksheet - The Square Root Property
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies
- ELA Lesson Plans
- Lesson Plan Templates

- NYSTCE Earth Science (008): Practice and Study Guide
- Statistics 101 Syllabus Resource & Lesson Plans
- Holt McDougal Physics: Online Textbook Help
- Western Civilization to 1648 for Teachers: Professional Development
- American Literature for Teachers: Professional Development
- AP Calculus AB Flashcards
- Citing Textual Evidence: CCSS.ELA-Literacy.RL.7.1
- Quiz & Worksheet - Types of Real Property Ownership
- Quiz & Worksheet - What are Peninsulares?
- Quiz & Worksheet - Calculating Isoelectric Point
- Quiz & Worksheet - Calculating Wave Velocity
- Quiz & Worksheet - Misrepresentation & Fraud in Contract Enforcement

- What is an Obtuse Angle? - Definition & Examples
- Algebra Problem Solving: Guess & Check
- How to Pass an Excel Test
- Online Credit Recovery Programs
- Poetry for 2nd Grade
- Common Core State Standards in Ohio
- Course Curriculum Template
- How to Pass the California Bar Exam
- Average PSAT Score
- Women's History Month
- Common Core State Standards in Idaho
- Best Online High School English Courses

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject