Explore various utilities for working with numbers, including factorization and prime number analysis.
The factorization tool on this site uses SymPy's powerful `factorint` function. SymPy is a Python library for symbolic mathematics, and `factorint` is designed to find the prime factors of an integer. It employs a combination of sophisticated algorithms, including trial division for small factors, Pollard's rho algorithm, and the Pollard's p-1 algorithm for larger factors, among others. For very large numbers, it can even use more advanced methods like the Quadratic Sieve if necessary.
To prevent excessively long computations for extremely large numbers, the site implements a timeout mechanism. If factorization exceeds a predefined time limit (currently 5 seconds), the process is halted, and a timeout message is displayed. For smaller numbers (less than 10^9), the function is called directly without the timeout overhead to ensure quick results.
Start factoring numbers by visiting the Factorization Tool.