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6th grade · Math · Unit 13 of 21

Powers and Common Factors

Exponents and prime factorization

What your child practices

Reading and writing powers such as 3⁴, evaluating them, order of operations with powers, writing prime factorizations with exponents, and finding common factors and the greatest common factor.

New York State Learning Standards learning standard: NY-6.EE.1; NY-6.NS.4 · writing and evaluating expressions with whole-number exponents, and common factors

How we explain it

Children can open this short lesson before they practice.

  1. An exponent tells how many times to multiply the base: 2³ = 2 × 2 × 2.
  2. A common factor divides two numbers evenly.
  3. To evaluate a power, multiply, then follow the order of operations.

Example: What is 2³ + 1? 2³ = 2 × 2 × 2 = 8. 8 + 1 = 9. Answer: 9

Powers and Common Factors in New York

In the New York State Learning Standards, this is unit 13 of 21 in 6th grade Math, after Data & Graphs and before Dividing Fractions.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: New York State Education Department (NYSED)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    What is the value of 10³?

    answer box

  2. Question 2

    What is the greatest common factor of 18 and 63?

    answer box

  3. Question 3

    What is the value of 7⁴?

    answer box

  4. Question 4

    Evaluate. Do the power first.

    5 × 4² = ?

    answer box

  5. Question 5

    Write 7 × 7 × 7 × 7 as a power.

    • 4⁷
    • 7 × 4
    • 7⁴

  6. Question 6

    What does 7³ mean?

    • 7 × 7 × 7
    • 3 × 3 × 3 × 3 × 3 × 3 × 3
    • 7 × 3
    • 7 + 3

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