Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.4

Lesson 6.136.13 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target With my small group, I can write a number as a product of its prime factors using a factor tree — one step at a time, with support.

Remember6.13 Small Group · Group 1

Keep splitting a number into factors until every branch is prime, then write the number as the product of those primes. Prime factorization writes a number as a product of prime numbers only. A factor tree helps you find them.

Words: Prime Factorization (Factorización prima)Prime number (Número primo)Composite number (Número compuesto)Factor (Factor)Factor tree (Árbol de factores)

  1. 1Complete each step, then write the final answer.

    Make a factor tree for 28. Then fill in the blank: 28 = 2 × 2 × ___.

    Show your work

    Hint Start with 28 = 4 × 7. Then split 4.

    Final answer:
  2. 2Complete each step, then write the final answer.

    Fill in the blank: 50 = 2 × 5 × ___.

    Show your work

    Hint Start with 50 = 5 × 10. Then split 10.

    Final answer:
  3. 3Complete each step, then write the final answer.

    A store packs 2 × 3² × 7 apples in one box. How many apples are in the box?

    Show your work

    Hint 3² means 3 × 3. Write all the primes, then multiply.

    Final answer:
  4. 4Complete each step, then write the final answer.

    Find the prime factorization of 120. What is the exponent on 2?

    Show your work

    Hint Start with 120 = 10 × 12. Split until every branch is prime. Count the 2s.

    Final answer:

Explain your thinkingHow do you know when a factor tree is finished? Use Kai's mistake with 24 to explain.

Sentence starter A branch stops when the number is ___. · Kai was not done because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help