💡 Quick Answer & Definition(Verified Formula)
Decompose any positive integer into its unique prime number factors.
Fundamental Theorem of Arithmetic
States that every integer greater than 1 is either prime or can be uniquely represented as the product of prime numbers.
Factor Tree & Trial Division Method
Our tool tests divisibility starting from 2, 3, 5, 7... to extract all prime factors and display them in canonical exponential form (e.g. 360 = 2³ × 3² × 5).
Cryptography and Public-Key Encryption
Prime factorization of large numbers forms the cryptographic foundation of RSA encryption securing modern internet communications.
100% Free, Instant & Private. All computations run directly in your browser sandbox without sending personal data to any external server.