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Factors and Multiples Worksheet Set for 6th Grade

Factors and Multiples Worksheet Set for 6th Grade preview
Factors and Multiples Worksheet Set for 6th Grade preview
Factors and Multiples Worksheet Set for 6th Grade preview 2
Factors and Multiples Worksheet Set for 6th Grade preview 3
Factors and Multiples Worksheet Set for 6th Grade preview 4
Factors and Multiples Worksheet Set for 6th Grade preview 5
Factors and Multiples Worksheet Set for 6th Grade preview 6

Look Inside · 10 pages

Greatest Common Factor and Lowest Common Multiple guide cover by Jeff's Notebooks, showing factors of 72 and 80 with GCF 8
Title page of the teacher guide to the GCF and LCM sets
Introduction to GCF and LCM: skills covered and a table of 9 worksheet sets, from listing factor pairs to the LCM formula
Planning aid: match each set to a lesson across the year
Randomizing buttons for Sets 1 to 4: factor pairs, GCF of 2 and 3 numbers and prime factors, with ranges up to 30 to 150
Reference for choosing number ranges on Sets 1-4
Randomizing buttons for Sets 5 to 9: GCF by primes, addition to multiplication and LCM sheets, with each button's range
Reference for choosing number ranges on Sets 5-9
Set 1 factor pairs by multiplication and division: four steps with worked examples finding all factor pairs of 24 and 40
Step-by-step model to show before factor pair practice
Sets 2 and 3 GCF by listing: steps and worked examples listing all factors to find the GCF of 18 and 24, then 20 and 36
Worked examples to model the listing method
Set 4 prime factorization by division: repeated division by primes, with worked ladder examples for 36 and 32
Demonstrate the division ladder method
Set 4 prime factorization with factor trees: two different trees for 36, both ending in the primes 2 x 2 x 3 x 3
Show that any factor tree gives the same primes
Set 5 GCF using prime factorization: common primes multiplied, with worked examples for 16 and 24, then 28 and 42
Model before students try the prime factor method
Set 6 distributive property: steps to rewrite 50 + 15 as 5(10 + 3) using the GCF, giving 5 x 13 = 65
Mini-lesson linking the GCF to the distributive property
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About This Product

Finding the greatest common factor (GCF) and least common multiple (LCM) may seem like small topics, but they provide a wealth of foundational math practice! This comprehensive 9-set resource creatively reinforces these concepts for 6th graders through differentiated, randomized worksheets.

Students will strengthen multiplication, division, factoring, and prime numbers competency through scaffolded practice. The differentiated activities allow them to focus on mastering the GCF and LCM processes before applying stronger math skills. Methods go beyond rote memorization to make meaningful connections between common factors/multiples and other areas like the distributive property and notation using exponents. 

The ready-to-go worksheets that require no extra prep or grading time. Just click, print, and hand out.

A standout feature is the worksheet randomization. With a single click, educators can generate an entirely new set of questions, making it a renewable resource for the entire school year. Be it for classwork, revision, or homework, adaptability ensures students achieve proficiency in the topic.

Each worksheet concludes with an automatically generated answer key on its second page, offering a quick reference point for educators. And if there's ever a need for a last-minute lesson or work for a substitute 

- Unlimited differentiated practice generates new worksheet versions for as much review and reinforcement work as needed. 

- Start with simpler number ranges to learn steps before advancing to complex questions

- Cross-curricular approach reinforces understanding across math topics

This resource engages students in learning concepts that prime them for later algebra success. Students can progress at their own pace from basic competency to fluid skill application. 

The 9 Sets cover:

  • Factor pairs

  • Finding the Greatest Common Factor of two numbers ( listing of factors)

  • Finding the Greatest Common Factor of three numbers  (listing factors))

  • Prime Factorization

  • Finding the Greatest Common Factor with Prime Factorization

  • Using the Greatest Common Factor with the distributive property of multiplication

  • Finding the Lowest Common Multiple of two Numbers

  • Finding the Lowest Common Multiple of two Numbers (listing multiples)

  • Finding the Lowest Common Multiple using Prime Factorization

  • Finding the Lowest Common Multiple using the Greatest Common Factor

Lastly, it's essential to note that these resources can be downloaded as PDF documents. They operate seamlessly with the official Adobe Acrobat Reader on both Windows and Mac. Plus, the randomizing features are effortlessly accessible via touchscreen devices or interactive whiteboards.

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