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Mathematics · Grade 6

Factors, Multiples and the Distributive Property

Learners find factors, multiples and prime factorizations, then use them to find greatest common factors and least common multiples. They rewrite sums such as 36 + 8 as 4(9 + 2) with the distributive property, and decide whether real problems about kits, tiles and schedules call for a GCF or an LCM.

  • 4 lessons
  • About 80 minutes
  • Factors, multiples and the distributive property check: 10 questions
  • Ways to answer: fill in the blanks, choose an answer, match pairs, type a number, sort into groups and true or false
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What learners will discover

  • Find factors and multiples of whole numbers, identify primes and composites, and write prime factorizations.
  • Find the greatest common factor of two whole numbers up to 100 and the least common multiple of two whole numbers up to 12.
  • Use the distributive property to rewrite a sum of two whole numbers with a common factor as a multiple of a sum.
  • Decide whether a problem calls for a GCF or an LCM and solve it.

Lessons

  1. Factors, multiples and primes 7 steps3 practiceabout 20 min
  2. Greatest common factor and least common multiple 8 steps5 practiceabout 20 min
  3. The distributive property 7 steps4 practiceabout 20 min
  4. GCF or LCM? 8 steps5 practiceabout 20 min
  5. Factors, multiples and the distributive property check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.
  • Ratio KitchenScale recipes, fill ratio tables and find the better buy.

More 6th grade math

Guide for grown-ups