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6th grade Prime factors and perfect squares worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Prime factors and perfect squares

Grade 6 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Bo picks a card. Which number is the prime number?

    • 1
    • 15
    • 11
    • 14

  2. Esme is stuck on a riddle: only one of these numbers is prime. Which one is it?

    • 10
    • 13
    • 1
    • 21

  3. Jun finds a riddle in a book. Which number has just two factors, itself and one?

    • 27
    • 16
    • 1
    • 17

  4. Milo builds a factor tree for 20. You can type 5 × 5 × 7 or 5^2 × 7. What is 20 as a product of primes?

  5. Noah picks a card. Which one shows 28 as a product of primes?

    • 1 × 2 × 2 × 7
    • 4 × 7
    • 2 × 7
    • 2 × 2 × 7

  6. Tala picks a card. Which one shows 30 as a product of primes?

    • 5 × 6
    • 1 × 2 × 3 × 5
    • 2 × 3 × 5

  7. Jun starts a factor tree for 27 with 27 = 3 × 9. After finishing the tree, what is 27 as a product of primes?

  8. Luz starts a factor tree for 32 with 32 = 4 × 8. After finishing the tree, what is 32 as a product of primes?

  9. Noah reads 4² in a puzzle. What is 4²?

  10. Ren picks a card. Which of these is a perfect square?

    • 20
    • 15
    • 16
    • 18
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6th grade Prime factors and perfect squares worksheet – printable
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About this worksheet

Prime factors and perfect squares. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can tell a prime number from a composite number, and I know 1 is neither.
  • I can split a number into primes with a factor tree and write it as a product of primes.
  • I can say what 7² means, find a perfect square, and find a square's side from its area.

Standard: state-only (CCSS has no prime-factorization standard; related: 4.OA.B.4 factors, 8.EE.A.2 squares)

Words to know

prime number: A number with exactly two factors: 1 and itself. 2, 3, 5 and 7 are prime.

composite number: A number with more than two factors. 12 has six.

factor tree: A tree that splits a number into factors until every end is a prime.

prime factors: The primes at the ends of the tree. Multiplied, they make the number.

square (n²): A number multiplied by itself. 7² = 7 × 7 = 49.

perfect square: A number you get by multiplying a whole number by itself: 1, 4, 9, 16, 25.

Common mistakes

Your child counted 1 as a prime number.

Your child called an odd number prime. Try testing the number together: can it be split into two smaller numbers other than 1 and itself? For example 9 = 3 × 3.

Your child stopped splitting a factor tree while a number could still be split.

What to say

Ask: how many different factors does a prime have? A prime has exactly two, 1 and itself, and 1 has only one.

Ask: can that number still be split into smaller numbers? Keep going until every end is prime.

Questions parents ask

What is the most common mistake with prime factors and perfect squares?

Your child counted 1 as a prime number.

How can I help my child with prime factors and perfect squares?

Ask: how many different factors does a prime have? A prime has exactly two, 1 and itself, and 1 has only one.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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