Lesson 12 — Prime Factorization and Product of Primes

🎯 Goal

Learn to break numbers into prime factors and write numbers as a product of primes.

📖 Lesson Description

Every integer greater than 1 can be expressed as a product of prime numbers. This is called prime factorization.

🔎 Examples

• 12 = 2 × 2 × 3 = 2² × 3
• 30 = 2 × 3 × 5
• 60 = 2 × 2 × 3 × 5 = 2² × 3 × 5

✏️ Practice

1. Find the prime factorization of 18.
2. Express 45 as a product of primes.
3. Express 100 as a product of primes.