Factor Calculator

Find all factors, factor pairs, prime factorization, and factor count for any positive integer.

Integer Factorization Solver

Enter any positive integer to compute its factors (e.g., 120 or 360).

Enter Integer ($n$):

A factor is an integer that divides another integer completely without leaving a remainder.

1. Factor Pairs: A × B = N (where both A and B are factors of N)

2. Prime Factorization: Expressing N as a product of prime numbers (e.g., 12 = 2² × 3)

3. Total Factors Formula: If N = p^a × q^b, Total Factors = (a+1)(b+1)

A prime number has exactly two factors: 1 and itself (e.g., 2, 3, 5, 7). A composite number has more than two factors (e.g., 4, 6, 8, 9).

The number 1 is neither prime nor composite because it has only one positive factor (itself).