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

Lesson 6.136.13 · Part II

Apply Day · Set BSecond form · new problems, same idea

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

Learning target I can write a number as a product of its prime factors using a factor tree.

Remember6.13 · Part II

Prime Factorization & Factor Trees

  1. Prime Number: Has exactly two factors (1 and itself, e.g. 2, 3, 5, 7, 11)
  2. Split composite number into factor pairs until every branch ends in a prime
  3. Write final product using exponents in ascending order (e.g. 60 = 2² × 3 × 5)

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.

    Fill in the blank: 18 = 2 × 3 × ___.

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

    Make a factor tree for 48. How many 2s are in its prime factorization?

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

    A number has the prime factorization 2² × 3 × 5². What is the number?

    Show your work
    Final answer:
  4. 4Complete 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
    Final answer:
  5. 5Complete each step, then write the final answer.

    A bead store has 2³ × 3 × 5 beads. Each bag holds 2² × 3 beads. How many bags can the store fill?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.

    A number has only 2s and 3s in its prime factorization. It has at least one of each. The number is between 100 and 110. What is it?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    Which of the following is a prime number?

    1. A9
    2. B15
    3. C17
    4. D21
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    What is the prime factorization of 30?

    1. A2 × 3 × 5
    2. B2 × 15
    3. C3 × 10
    4. D5 × 6
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    What is the prime factorization of 18?

    1. A2 × 3 × 3
    2. B2 × 9
    3. C3 × 6
    4. D6 × 3
    Show your work
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