Prime factors and perfect squares

Answer Key - Grade 6 Math Worksheet - Building Confidence

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

1. 1.

   Kira wants 12 as a product of primes. You can type 5 × 5 × 7 or 5^2 × 7. What should Kira write?

   2, 2, 3
2. 2.

   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?

   2, 2, 5
3. 3.

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

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

   Ren picks a card. Which one shows 50 as a product of primes?

   • 2 × 25
   • 2 × 5 × 5
   • 1 × 2 × 5 × 5
   • 2 × 5
5. 5.

   Ari draws a factor tree for 30. It splits first into 3 and 10. Then 10 splits into 2 and 5. What is the missing prime?

6. 6.

   Esme starts a factor tree for 36 with 36 = 4 × 9. After finishing the tree, what is 36 as a product of primes?

   2, 2, 3, 3
7. 7.

   Noah reads 4² in a puzzle. What is 4²?

   16
8. 8.

   Pia reads 5² in a puzzle. What is 5²?

   25
9. 9.

   Tala picks a card. Which one is the perfect square?

   • 30
   • 24
   • 25
   • 27
10. 10.

    Zee is stuck on a riddle: only one of these numbers is a perfect square. Which one is it?

    • 35
    • 38
    • 42
    • 36