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).
Understanding Factors & Prime Factorization
A factor is an integer that divides another integer completely without leaving a remainder.
A × B = N (where both A and B are factors of N)
Expressing N as a product of prime numbers (e.g., 12 = 2² × 3)
If N = p^a × q^b, Total Factors = (a+1)(b+1)
Frequently Asked Questions (FAQs)
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).
Prime factorization is the process of expressing a number as the product of prime numbers. Every composite number has a unique prime factorization.
Factor pairs are two integers that multiply together to produce a given number. For example, the factor pairs of 12 are (1,12), (2,6), and (3,4).
Factors are used to simplify fractions, find greatest common factors (GCF), least common multiples (LCM), solve algebraic equations, and perform number theory calculations.