Factor Calculator - Calculator See


Factor Calculator

Find all positive and negative integer factors, factor pairs, and prime factorization with exponents for any integer.

Calculator Inputs

Enter positive whole number.

Calculated Results

Prime Factorization
2^3 x 3^2 (8 x 9 = 72)
Total Factors Count 12 Divisors
All Positive Factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Sum of Proper Divisors 123 (Abundant Number)
Values calculate live as you adjust inputs.

About Factor Calculator

Decomposes any composite integer into its complete list of integer divisors and canonical prime factor decomposition.

What is Factor Calculator?

Decomposes any composite integer into its complete list of integer divisors and canonical prime factor decomposition.

How to Use This Calculator

  1. Enter an integer to factor.
  2. View all divisor pairs, total factor count, and prime factorization tree.

The Mathematical Formula & Variables

Prime Factorization: N = p1^a1 * p2^a2 * ... * pk^ak

Step-by-Step Worked Example

Scenario: Find prime factors of 72.

  1. 72 / 2 = 36.
  2. 36 / 2 = 18.
  3. 18 / 2 = 9.
  4. 9 / 3 = 3.
  5. 3 / 3 = 1 -> 2 * 2 * 2 * 3 * 3 = 2^3 * 3^2.

Result: 2^3 * 3^2

Frequently Asked Questions

What is an abundant number?

An abundant number is an integer whose sum of proper factors exceeds the number itself (e.g. 72 has factor sum 123 > 72).