Prime factors and perfect squares

Answer Key - Grade 6 Math Worksheet - Challenge Me

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

1. 1.

   Ari wants 96 as a product of primes. You can type 5 × 5 × 7 or 5^2 × 7. What should Ari write?

   2, 2, 2, 2, 2, 3
2. 2.

   Bo builds a factor tree for 80. You can type 5 × 5 × 7 or 5^2 × 7. What is 80 as a product of primes?

   2, 2, 2, 2, 5
3. 3.

   Esme breaks 90 into primes. You can type 5 × 5 × 7 or 5^2 × 7. What should Esme write?

   2, 3, 3, 5
4. 4.

   Jun writes 72 as a product of primes. How many primes are multiplied together? Count a prime again each time it repeats.

   5
5. 5.

   Kira writes 200 as a product of primes. How many primes are multiplied together? Count a prime again each time it repeats.

   5
6. 6.

   Milo writes 150 as a product of primes. How many primes are multiplied together? Count a prime again each time it repeats.

   4
7. 7.

   Pia is playing a number game. What is the smallest whole number greater than 0 you can multiply 56 by to get a perfect square?

   14
8. 8.

   Tala is playing a number game. What is the smallest whole number greater than 0 you can multiply 52 by to get a perfect square?

   13
9. 9.

   Zee pitches a square party tent with a floor area of 196 square feet. How long is each side, in feet?

   14
10. 10.

    Ari paints on a square canvas with an area of 256 square inches. How long is each side, in inches?

    16