Factor Calculator

Factors come in pairs that multiply to the number, one on each side of its square root — so checking divisors only up to √n finds them all. 120 = 2³ × 3 × 5, and its factor count follows from the exponents: (3+1)(1+1)(1+1) = 16 factors.

The fundamental theorem of arithmetic says every whole number has exactly one prime factorization. That uniqueness underpins fraction arithmetic, GCF/LCM shortcuts, and — at hundreds of digits — the difficulty assumption behind RSA encryption.