Prime Factorization Worksheet | PDF

Prime Factorization Worksheet | PDF

Prime Factorization worksheetDownload

✅ Answer Key — Prime Factorization Worksheet

A. Find the Prime Factors

  1. 12 = 2² × 3
  2. 18 = 2 × 3²
  3. 20 = 2² × 5
  4. 24 = 2³ × 3
  5. 30 = 2 × 3 × 5
  6. 36 = 2² × 3²
  7. 40 = 2³ × 5
  8. 45 = 3² × 5

B. Factor Trees

  1. 48 = 2⁴ × 3
  2. 54 = 2 × 3³
  3. 60 = 2² × 3 × 5
  4. 72 = 2³ × 3²
  5. 84 = 2² × 3 × 7
  6. 90 = 2 × 3² × 5

C. Using Exponents

  1. 24 = 2³ × 3
  2. 36 = 2² × 3²
  3. 72 = 2³ × 3²
  4. 100 = 2² × 5²
  5. 180 = 2² × 3² × 5

D. Missing Prime Factor

  1. 20 = 2 × 2 × 5
  2. 30 = 2 × 3 × 5
  3. 42 = 2 × 3 × 7
  4. 56 = 2 × 2 × 2 × 7
  5. 75 = 3 × 5 × 5
  6. 110 = 2 × 5 × 11

E. True or False

  1. True
  2. True
  3. True
  4. True
  5. True
  6. False — 27 = 3³

F. Challenge Yourself

  1. 96 = 2⁵ × 3
  2. 108 = 2² × 3³
  3. 120 = 2³ × 3 × 5
  4. 144 = 2⁴ × 3²
  5. 150 = 2 × 3 × 5²
  6. 180 = 2² × 3² × 5
  7. 210 = 2 × 3 × 5 × 7
  8. 225 = 3² × 5²

G. Think & Solve

  1. 2³ × 3 × 5 = 120
  2. 2² × 3² = 36
  3. 2 × 3 × 5 × 7 = 210
  4. 2² × 5 = 20

H

360 = 2³ × 3² × 5