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

Lesson 6.136.13 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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Learning target I can write a number as a product of its prime factors using a factor tree, explain what each part stands for, and build one for a situation I have not seen before.

Remember6.13 Small Group · Group 2

Every composite number has exactly one prime factorization, so any factor tree you start will end with the same primes. Different factor trees for the same number always end with the same prime factors.

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.

    A number has the prime factorization 2³ × 5. What is the number?

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

    Find the prime factorization of 150. What is the exponent on 5?

    Show your work
    Final answer:
  3. 3Complete 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:
  4. 4Complete 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:

Explain your thinkingLia and Omar started their trees for 80 in different ways. Why must they end with the same primes?

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