Factors and Multiples

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Introduce the concept of factors and multiples with our Factors and Multiples Lesson Plan.  This interactive lesson defines factor and multiple and enables students to identify the factors and multiples of whole numbers.  The fun activity using playing cards solidifies the concept of prime and composite numbers, as well as leverages peer learning in pairs.

Factors and Multiples Lesson Plan Includes:

  • Full Teacher Guidelines with Creative Teaching Ideas
  • Instructional Content Pages about Factors and Multiples.
  • Hands on homework activities giving students practice on determining the difference between factors and multiples, how to find them, etc.
  • Answer Keys
  • Common Core State Standards
  • Many Additional Links and Resources
  • Built for Grades 3-4 but can be adapted for other grade levels.

*Note: These lessons are PDF downloads. You will be directed to the download once you checkout. Clarendon Learning resources are FREE, we rely 100% on donations to operate our site. Thank you for your support!

Description

Introduce the concept of factors and multiples with our Factors and Multiples Lesson Plan.  This interactive lesson defines factor and multiple and enables students to identify the factors and multiples of whole numbers.  The fun activity using playing cards solidifies the concept of prime and composite numbers, as well as leverages peer learning in pairs.

Sample Classroom Procedure / Teacher Instruction

  1. Bring two students to the front of the room. Next, bring 4 students to the front of the room, keeping them apart from the first two. Next bring 6, then 8. (2, 4, 6, 8)
  2. Ask student to look at each group and to tell something about the groups.
  3. Allow for responses and discussion. (Responses may include number of girls, boys, et., but many will recognize the increase by two each time.)
  4. Lead the responses to 2, 4, 6, 8 and ask how many students would be needed in the next group. (10)
  5. Lead the discussion to multiples of numbers.
  6. Next ask the students how the large group (8) can be separated. (Two 4s, Four 2s)
  7. Allow for responses and discussion. Lead the discussion to factors.
  8. List the multiples of 2 for display and the factors of 8 for display. Ask students to recognize the differences. (Factors are smaller than 8, multiples are larger than 2.)
  9. Distribute the Factors and Multiples content pages. Read and review the information with the students. Use additional examples to enhance student understanding and to help students distinguish the differences between factors and multiples.
  10. Ask student to give other examples of prime numbers.
  11. Distribute the Activity pages (Copy extra). Pair students. Review the instructions and the example with the students. (You may allow students to use a calculator.)
  12. Distribute the playing cards. Allow students ample time for completion and practice with their partners.
  13. Ask each pair of students to demonstrate a turn of the cards. Review the Prime Numbers the students circled.
  14. Distribute the Practice page. Check and review student responses. Use additional resources for needed practice, especially the Interactives if access to the Internet is available.
  15. Distribute the Homework page. The next day, check and review the students’ responses.
  16. In closing, ask students to count aloud the multiples of 2, 3, 4, and 5. Ask students to list factors of random numbers. Randomly choose students.

Common Core State Standards: CCSS.Math.Content.3.OA.B.6 CCSS.Math.Content.4.OA.B.4

Class Sessions (45 minutes): At least 2 class sessions

Additional Resources:

Want more math resources? Check out our other Math Lesson Plans!

Additional information

Grade Level

3rd Grade, 4th Grade

Subject

Math

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KW
01/11/2019
Kristi W.
US

Love that it's free but...

Maybe for more visual learners the explanation on how to find a factor could be better. Instead of saying multiply 4 by 1=4 2=8 3=12 and so on. They could spell it all out. 4x1=4 Making 1 & 4 factors 4x2=8 Making 2 also a factor 4x3=12 Making 3 a factor and so on. Also where do you stop? How do you know you've found all of the factors? This is missing from the lesson. Obviously the teacher can have their own methods when teaching the lesson but I think it could be a little more comprehensive.

GA
10/20/2018
Glenda A.
CO

Thank you!

The worksheets are amazing, my students were engaged the whole time.

RR
10/11/2017
Renee R.
US

I love it!

Best place to get the work I need to get my son ahead in his education. I absolutely love it!