Factoring Calculator

Prime factorization is fundamental to many areas of mathematics: understanding divisors and multiples, simplifying fractions, finding greatest common divisors and least common multiples, cryptography, and introductory number theory.

This calculator computes the prime factorization, lists all divisors, counts them, sums them, and calculates Euler's totient function φ(n) in one convenient view. It automatically classifies numbers as perfect (sum of divisors equals the number), abundant (sum exceeds the number), or deficient (sum is less than the number).

The tool handles negative integers by clearly showing how signs affect factorization, and treats edge cases like zero and one distinctly from standard positive-integer factorization. Use it for homework review, problem verification, or number-theory research.