FreeMath
Grade 5medium

Prime Factorization Practice

Practice finding the prime factorization of numbers by breaking them down into products of prime numbers. Use factor trees or repeated division.

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All 20 Practice Problems

Every question in this set. Solve them on paper, or use the interactive tool above for instant feedback and hints.

  1. 1.Find the prime factorization of 12
  2. 2.Find the prime factorization of 18
  3. 3.Find the prime factorization of 24
  4. 4.Find the prime factorization of 30
  5. 5.Find the prime factorization of 36
  6. 6.Find the prime factorization of 42
  7. 7.Find the prime factorization of 48
  8. 8.Find the prime factorization of 56
  9. 9.Find the prime factorization of 60
  10. 10.Find the prime factorization of 72
  11. 11.Find the prime factorization of 80
  12. 12.Find the prime factorization of 84
  13. 13.Find the prime factorization of 90
  14. 14.Find the prime factorization of 96
  15. 15.Find the prime factorization of 100
  16. 16.Find the prime factorization of 108
  17. 17.Find the prime factorization of 120
  18. 18.Find the prime factorization of 144
  19. 19.Find the prime factorization of 150
  20. 20.Find the prime factorization of 180
Show answer key
  1. 1.Find the prime factorization of 12 Answer: 2 × 2 × 3 or 2² × 3
  2. 2.Find the prime factorization of 18 Answer: 2 × 3 × 3 or 2 × 3²
  3. 3.Find the prime factorization of 24 Answer: 2 × 2 × 2 × 3 or 2³ × 3
  4. 4.Find the prime factorization of 30 Answer: 2 × 3 × 5
  5. 5.Find the prime factorization of 36 Answer: 2 × 2 × 3 × 3 or 2² × 3²
  6. 6.Find the prime factorization of 42 Answer: 2 × 3 × 7
  7. 7.Find the prime factorization of 48 Answer: 2 × 2 × 2 × 2 × 3 or 2⁴ × 3
  8. 8.Find the prime factorization of 56 Answer: 2 × 2 × 2 × 7 or 2³ × 7
  9. 9.Find the prime factorization of 60 Answer: 2 × 2 × 3 × 5 or 2² × 3 × 5
  10. 10.Find the prime factorization of 72 Answer: 2 × 2 × 2 × 3 × 3 or 2³ × 3²
  11. 11.Find the prime factorization of 80 Answer: 2 × 2 × 2 × 2 × 5 or 2⁴ × 5
  12. 12.Find the prime factorization of 84 Answer: 2 × 2 × 3 × 7 or 2² × 3 × 7
  13. 13.Find the prime factorization of 90 Answer: 2 × 3 × 3 × 5 or 2 × 3² × 5
  14. 14.Find the prime factorization of 96 Answer: 2 × 2 × 2 × 2 × 2 × 3 or 2⁵ × 3
  15. 15.Find the prime factorization of 100 Answer: 2 × 2 × 5 × 5 or 2² × 5²
  16. 16.Find the prime factorization of 108 Answer: 2 × 2 × 3 × 3 × 3 or 2² × 3³
  17. 17.Find the prime factorization of 120 Answer: 2 × 2 × 2 × 3 × 5 or 2³ × 3 × 5
  18. 18.Find the prime factorization of 144 Answer: 2 × 2 × 2 × 2 × 3 × 3 or 2⁴ × 3²
  19. 19.Find the prime factorization of 150 Answer: 2 × 3 × 5 × 5 or 2 × 3 × 5²
  20. 20.Find the prime factorization of 180 Answer: 2 × 2 × 3 × 3 × 5 or 2² × 3² × 5

About This Practice

This practice set includes 20 prime factorization problems. Understanding prime factorization is essential for finding GCF, LCM, and working with fractions.

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