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Prime factorization worksheets Grades 4–5

Break each number into a product of prime numbers.

The front of the free prime factorization worksheet
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Free · Worked example · 40 problems · Answer key · US Letter

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How to do it

Break the number into primes. Write them smallest to largest.

171=3×57=3×3×19=3×3×19171 = 3 \times 57 = 3 \times 3 \times 19 = 3 \times 3 \times 19split off the smallest prime each time

Example problems

  1. 78=78 =
  2. 160=160 =
  3. 22=22 =
  4. 66=66 =

Factors, multiples and prime numbers

  1. Divisibility rules
  2. Factor pairs
  3. Listing factors
  4. Prime and composite numbers
  5. Prime factorization
  6. Greatest common factor (GCF)
  7. Least common multiple (LCM)
  8. GCF and LCM mixed practice