Math July 13, 2026 · 8 Min Read

Factor Calculator – Guide & Formulas

Calculate all positive and negative factors of any integer. Displays factor pairs, prime factors, and total factor count.

Quickly find all whole numbers that divide evenly into your target number. View complete lists of factors, corresponding factor pairs, and the prime factorization.

Key Takeaway

Use the free Factor Calculator to calculate all positive and negative factors of any integer. displays factor pairs, prime factors, and total factor count. Get instant results with step-by-step explanations.

How to Use the Factor Calculator

  1. Enter any positive or negative non-zero integer.
  2. Examine the comprehensive list of positive factors, negative factors, and paired combinations.
  3. Check the total factor count and sum of factors.

The Formula

n = a * b implies a and b are factors of n

Variable Definitions

  • n: The target integer
  • a, b: Dividing whole numbers with remainder of zero

Finding the Factors of 24

Find all positive integer divisors of the number 24.

  1. Step 1: Test division from 1 up to √24 ≈ 4.89.
  2. Step 2: 24/1 = 24 (Pair: 1, 24); 24/2 = 12 (Pair: 2, 12); 24/3 = 8 (Pair: 3, 8); 24/4 = 6 (Pair: 4, 6).
  3. Step 3: Collect and sort all divisors: 1, 2, 3, 4, 6, 8, 12, 24.
  4. Step 4: The number 24 has 8 positive factors.

Frequently Asked Questions

Can factors be negative?

Yes. If a and b are positive factors of n, then -a and -b are also factors, since (-a) * (-b) = ab = n.

What is a perfect number?

A perfect number is a positive integer that is equal to the sum of its proper positive divisors (excluding the number itself). For example, 6 (1 + 2 + 3 = 6).

How do you find the greatest common factor (GCF)?

You can compare the factors of two or more numbers and find the largest factor they share. Use our Greatest Common Divisor Calculator for that!