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Worksheet

Prime Factorization

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Show your work for each problem.

  1. 1.
    What is the prime factorization of 12?
    1. a)
    2. b)
    3. c)
    4. d)
  2. 2.
    Which number is NOT a prime factor of 30?
    1. a)3
    2. b)6
    3. c)2
    4. d)5
  3. 3.
    What is the smallest prime factor of 45?
  4. 4.
    How many prime factors does 8 have? (Count with repetition)
  5. 5.
    Find the prime factorization of 18.
  6. 6.
    Find the prime factorization of 20.
  7. 7.
    What is the prime factorization of 72?
    1. a)
    2. b)
    3. c)
    4. d)
  8. 8.
    If , what is the value of ?
    1. a)100
    2. b)150
    3. c)250
    4. d)200
  9. 9.
    What is the largest prime factor of 84?
  10. 10.
    How many distinct prime factors does 60 have?
  11. 11.
    Find the prime factorization of 48.
  12. 12.
    Find the prime factorization of 90.
  13. 13.
    What is the prime factorization of 225?
    1. a)
    2. b)
    3. c)
    4. d)
  14. 14.
    If and , what is the value of ?
  15. 15.
    Find the prime factorization of 360.
  16. 16.
    Find the prime factorization of 504.
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/number-theory/factors/prime-factorization