Prime Factorization Calculator
Calculate prime factorization with step-by-step solution using division method or factor trees
Prime Factorization
Enter any positive integer (whole number greater than 0)
Common Examples
Results
Enter a number and click Find Prime Factors to see results
Prime Factorization Guide
Key Concepts
• Prime number: Only divisible by 1 and itself
• Composite number: Has factors other than 1 and itself
• Prime factorization: Express as product of primes
• Fundamental theorem: Every integer has unique prime factorization
Methods
• Division method: Divide by smallest primes
• Factor tree: Break into factor pairs
• Trial division: Test divisibility systematically
• Sieve methods: For multiple numbers
Applications
• Finding GCD and LCM
• Cryptography (RSA encryption)
• Simplifying fractions
• Number theory problems
Tips
- Enter the dimensions in the same unit for consistency.
- Results update automatically as you type.
- Use the unit selector to convert between different measurement systems.