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Prime Factorization and Factor Trees Worksheet

Break composite numbers down into their prime factor products using factor trees. 10 exercises with exponential forms.

Factors, GCF, LCM & Division Medium / Intermediate Middle School (Grades 6–8) 10 Problems
Name:
Date:
Class:
Score: ______ / 10
1)
Write the prime factorization of 24 (use * or exponents):
2)
Write the prime factorization of 36:
3)
Write the prime factorization of 45:
4)
Write the prime factorization of 60:
5)
Write the prime factorization of 75:
6)
Write the prime factorization of 100:
7)
Write the prime factorization of 18:
8)
Write the prime factorization of 40:
9)
Write the prime factorization of 54:
10)
Write the prime factorization of 80:

Answer Key & Solutions

Prime Factorization and Factor Trees Worksheet
#1: 2^3 * 3
24 = 2 × 12 = 2 × 2 × 6 = 2 × 2 × 2 × 3 = 2³ × 3.
#2: 2^2 * 3^2
36 = 4 × 9 = (2 × 2) × (3 × 3) = 2² × 3².
#3: 3^2 * 5
45 = 9 × 5 = 3² × 5.
#4: 2^2 * 3 * 5
60 = 4 × 15 = 2² × 3 × 5.
#5: 3 * 5^2
75 = 3 × 25 = 3 × 5².
#6: 2^2 * 5^2
100 = 10 × 10 = (2 × 5) × (2 × 5) = 2² × 5².
#7: 2 * 3^2
18 = 2 × 9 = 2 × 3².
#8: 2^3 * 5
40 = 4 × 10 = (2 × 2) × (2 × 5) = 2³ × 5.
#9: 2 * 3^3
54 = 2 × 27 = 2 × 3³.
#10: 2^4 * 5
80 = 16 × 5 = 2⁴ × 5.