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Grade 6
Domain The Number System
Cluster Compute fluently with multi-digit numbers and find common factors and multiples.
Standard 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&ndash;100 with a common factor as a multiple of a sum of two whole numbers with no common factor.<span class='clarification'> For example, express $36 + 8$ as $4 (9 + 2)$.</span>
Task Factors and Common Factors

Factors and Common Factors


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Alignments to Content Standards: 6.NS.B.4
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Task

  1. List all the factors of 48.
  2. List all the factors of 64.
  3. What are the common factors of 48 and 64?
  4. What is the greatest common factor of 48 and 64?

IM Commentary

This problem uses the same numbers and asks essentially the same mathematical questions as "6.NS Bake Sale," but that task requires students to apply the concepts of factors and common factors in a context.

Solution

  1. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
  2. 1, 2, 4, 8, 16, 32, 64
  3. 1, 2, 4, 8, 16
  4. 16

Factors and Common Factors

  1. List all the factors of 48.
  2. List all the factors of 64.
  3. What are the common factors of 48 and 64?
  4. What is the greatest common factor of 48 and 64?
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