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Factors & Multiples

6th Grade

Alabama Course of Study Standards: 7,8

Use the distributive property to express the sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor.
Find the greatest common factor (GCF) and least common multiple (LCM) of two or more whole numbers.
  1. Use factors and multiples to determine prime factorization.

Arkansas Academic Standards: 6.NS.B.4

  • Find the greatest common factor of two whole numbers less than or equal to 100 using prime factorization as well as other methods
  • Find the least common multiple of two whole numbers less than or equal to 12 using prime factorization as well as other methods
  • Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor
    For example, express 36 + 8 as 4 (9 + 2).

Arizona - K-12 Academic Standards: 6.NS.B.4

Use previous understanding of factors to find the greatest common factor and the least common multiple.
  1. Find the greatest common factor of two whole numbers less than or equal to 100.
  2. Find the least common multiple of two whole numbers less than or equal to 12.
  3. Use the distributive property to express a sum of two whole numbers 1 to 100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4(9+2).

Common Core State Standards: Math.6.NS.4 or 6.NS.B.4

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

Georgia Standards of Excellence (GSE): MGSE6.NS.4

Find the common multiples of two whole numbers less than or equal to 12 and the common factors of two whole numbers less than or equal to 100.
  1. Find the greatest common factor of 2 whole numbers and use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factors. (GCF) Example: 36 + 8 = 4(9 + 2)
  2. Apply the least common multiple of two whole numbers less than or equal to 12 to solve real-world problems.

Massachusetts Curriculum Frameworks: 6.NS.B.4

Use prime factorization to find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two relatively prime numbers. For example, express 36 + 8 as 4(9 + 2)

North Carolina - Standard Course of Study: 6.NS.4

Understand and use prime factorization and the relationships between factors to:
  • Find the unique prime factorization for a whole number.
  • Find the greatest common factor of two whole numbers less than or equal to 100.
  • Use the greatest common factor and the distributive property to rewrite the sum of two whole numbers, each less than or equal to 100.
  • Find the least common multiple of two whole numbers less than or equal to 12 to add and subtract fractions with unlike denominators.

New York State Next Generation Learning Standards: 6.NS.4

Find the greatest common factor of two whole numbers less than or equal to 100. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor other than 1.
e.g., Express 36 + 8 as 4(9 + 2).
Find the least common multiple of two whole numbers less than or equal to 12.

Tennessee Academic Standards: 6.NS.B.4

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

Pennsylvania Core Standards: CC.2.1.6.E.3

Develop and/or apply number theory concepts to find common factors and multiples.

Pennsylvania Core Standards: M06.A-N.2.2.1

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.

Pennsylvania Core Standards: M06.A-N.2.2.2

Apply the distributive property to express a sum of two whole numbers, 1 through 100, with a common factor as a multiple of a sum of two whole numbers with no common factor.

Florida - Benchmarks for Excellent Student Thinking: MA.6.NSO.3.1

Given a mathematical or real-world context, find the greatest common factor and least common multiple of two whole numbers.

Florida - Benchmarks for Excellent Student Thinking: MA.6.NSO.3.2

Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers.

Florida - Benchmarks for Excellent Student Thinking: MA.6.NSO.3.4

Express composite whole numbers as a product of prime factors with natural number exponents.
6th Grade Math - Factors & Multiples Lesson
 


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