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 70,000 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, 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.

Do you remember what it means for something to have **divisibility**? It means that it can be divided equally by a certain number. So, if a number has divisibility by 5, then it means it can be divided equally by 5. If we think of splitting a bunch of candies evenly into bowls, then divisibility by 5 means that we can split the number of candies evenly between 5 bowls. We also use the word 'divisible.' If we can divide 10 candies equally between 5 bowls, we also say that 10 is divisible by 5.

Do you remember the division symbol? Yes, it's the symbol that looks like a horizontal line with a dot on top and a dot on bottom. When we divide, we find the number of candies that each bowl will have. So, 10 divided by 5 is 2, since each bowl will end up with 2 candies. In this video lesson, we look at numbers that are divisible by 5, 6, and 7. Let's begin.

If something is divisible by 5, then that means we can split it evenly between 5 bowls. We will stick to our candies and bowls example throughout this video lesson. Look, here are your 5 bowls. Can you think of the very first number that is divisible by 5? Yes, it is 5. If we put 1 candy in each bowl, we will have 5 candies total. So, 5 is divisible by 5. 5 divided by 5 is 1.

What's the next number? If we add one more candy to each bowl, we will have 10 candies total. So, 10 is also divisible by 5. 10 divided by 5 is 2. Do you see what's going on here? If we keep adding 5 to our previous number, we will find our next number that is divisible by 5. What is our next number? 15. And after that? 20. Look at the numbers and you might see a pattern. All the numbers that are divisible by 5 end in either 0 or 5. This is another quick way to determine whether a number is divisible by 5.

Now, what about divisibility by 6? Yes, this also has the same pattern as divisibility by 5, except we now keep adding 6 to our previous number. Here are your 6 bowls now. What is the first number that is divisible by 6? Add 1 candy to each bowl. How many candies do you get? 6. 6 divided by 6 is 1. The next number? 12. 12 divided by 6 is 2. Can you figure out the next number? Did you get 18? If so, great! You got it!

There is no pattern to these numbers like there is for the number 5. But there is a rule you can follow. This rule is that the number has to be even, and if you add up the individual digits of the number, they will add up to a number that is divisible by 3. For example, the number 18 is even, and when you add up the individual digits of the numbers (1 + 8 = 9), you get a number that is divisible by 3 (9 / 3 = 3).

Divisibility by 7 follows the same pattern, as well. What do you think is the number that we will add 7 to each number to find the next? Yes, 7. Here are your 7 bowls. What is our first number? 7. 7 divided by 7 is 1. 1 candy in each bowl makes for a total of 7 candies. Add 1 more candy to each bowl. What is our next number? 14. 14 divided by 7 is 2. What's our next number? 14 + 7 = 21. 21 divided by 7 is 3. See if you can keep going. Unfortunately, there is no pattern nor rule for the numbers that are divisible by 7, like we had for 5 and 6.

What did we learn? We learned that **divisibility** means something that can be divided equally by another number. In math, when something has divisibility by something else, we also say that it is divisible by that something else. In this video lesson, we learned divisibility by 5, 6, and 7. Numbers that are divisible by 5 are 5, 10, 15, etc. Numbers that are divisible by 6 are 6, 12, 18, etc. And numbers that are divisible by 7 are 7, 14, 21, etc.

By the time you are done with this lesson, you should be able to:

- Recall the rules for determining if a number is divisible by 5 or 6
- Determine if a number is divisible by 7

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
2 in chapter 2 of the course:

Back To Course

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

- OAE Prekindergarten Subtests I & II (036/037): Study Guide & Practice
- NES Essential Academic Skills: Study Guide & Practice
- OAE Foundations of Reading (090): Study Guide & Practice
- OSAT School Psychologist Exam (CEOE) (033): Study Guide & Practice
- Praxis Physical Education - Content & Design (5095): Study Guide & Practice
- Exercise & Nutrition
- Early Childhood Development Overview
- Overview of Culture
- Basic Instructional Strategies for Physical Education
- Careers in Healthcare
- AFOQT Cost
- What Does the HESI A2 Nursing Exam Consist of?
- How to Learn Pharmacology for NCLEX
- What Are Considered Higher-Level Questions on the NCLEX?
- How to Study for NCLEx in 2 Weeks
- How Hard Is the ASVAB
- How Long is the HESI A2 Nursing Exam?

- Impact of Disabilities on Self & Others Across the Life Span
- Instructional Strategies for the Maintenance & Generalization of Concepts
- Teaching Phonics in the Classroom
- Teaching Executive Functioning Skills
- Veterans in the Workplace: Work Style & Characteristics
- Practical Application: Analyzing Growth Mindset & Its Impact on Business
- Moment-Generating Functions for Continuous Random Variables: Equations & Examples
- Practical Application: Assessing Personal Strategic Thinking Competencies
- Quiz & Worksheet - Supplementary & Functional Curriculum
- Quiz & Worksheet - Strategies for Scaffolding Teaching
- Quiz & Worksheet - Instruction for Reading & Writing Fluency
- Quiz & Worksheet - Graphing in Discrete Math
- Quiz & Worksheet - Overview of Lazarillo de Tormes
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies

- GACE Early Childhood Education (501): Practice & Study Guide
- Holt Science Spectrum - Physical Science: Online Textbook Help
- PLACE English: Practice & Study Guide
- Macroeconomics for Teachers: Professional Development
- Group Counseling Strategies: Help & Review
- NMTA Math: Trigonometric Graphs
- WEST Middle Grades Math: Solving Math Word Problems
- Quiz & Worksheet - Giardia
- Quiz & Worksheet - Factoring Polynomial Expressions
- Quiz & Worksheet - Epithalamion
- Quiz & Worksheet - Causes & Symptoms of Cryptosporidiosis

- T.S. Eliot's Fire Sermon: Analysis & Explanation
- Coretta Scott King Lesson for Kids: Biography, Award & Facts
- To Be, Or Not To Be: Quote Analysis
- NYS Earth Science Regents Exam Information
- Common Core Standards in Maine
- Tips for Learning French
- Book Club Suggestions
- How to Pass Statistics
- How to Prep for the NYS Chemistry Regents Exam
- First Grade Word Walls: List & Activities
- 3rd Grade Word Walls
- How to Pass Multiple Choice Tests

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

Browse by subject