Prime Factorization
Enter any integer up to 10^15 and get a complete prime factorization using trial division optimised with the 6k±1 rule. Also computes GCD and LCM for two numbers. Visualises the factor tree and shows the factored form (e.g., 360 = 2³ × 3² × 5).
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Common Use Cases
- Simplify fractions by finding GCD
- Calculate LCM for scheduling problems
- Verify if a number is prime
- Educational number theory exercises
Frequently Asked Questions
What is the fundamental theorem of arithmetic?
Every integer greater than 1 can be represented uniquely as a product of prime numbers, up to the order of the factors. This is why prime factorization is so powerful — it's the unique 'fingerprint' of any number.
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Tool Info
CategorymathAI EnhancementNoData StorageZero retention