OneFreePlace
Tool #479 · Pollard Rho engine
Prime decomposition + number theory

Prime Factorization Calculator

Break an integer into prime powers, then go further: divisor count, divisor sum, Euler’s φ, radical, Möbius value, square-free status, factor tree and exact multiplication verification.

Deterministic primality for factors ≤ 2⁶⁴−1. Advanced factorization accepts up to 120 digits and clearly labels larger probable-prime factors.
Factorization

Prime factors

Exponential form
Expanded prime factors
Verification
Classification

Number properties

Distinct primes ω(n)
Prime factors Ω(n)
Divisor count τ(n)
Divisor sum σ(n)
Euler φ(n)
Radical rad(n)
Möbius μ(n)
Largest prime factor

OneFreePlace · Free, local, accessible factorization · Tool #479