🎯 About Factors Calculator

A factor (or divisor) of a number is any whole number that divides evenly into that number without leaving a remainder. Our Factors Calculator helps you find all factors, factor pairs, and prime factorization of any number instantly!

For example, the factors of 12 are: 1, 2, 3, 4, 6, and 12 because each of these numbers divides 12 evenly.

📝 How to Use

  • Step 1: Enter any positive integer (1 to 999,999)
  • Step 2: Click "Find Factors" button
  • Step 3: View all factors arranged from smallest to largest
  • Step 4: See factor pairs that multiply to give your number
  • Step 5: Check prime factorization for composite numbers

✨ What You Get

  • All Factors: Complete list of all divisors
  • Factor Pairs: Pairs of numbers that multiply to your number
  • Prime Factorization: Break down into prime factors
  • Number Type: Learn if it's prime, composite, or perfect
  • Total Count: See how many factors exist

📚 Examples

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factor Pairs of 24: (1,24), (2,12), (3,8), (4,6)

Prime Factorization of 24: 2³ × 3

Factors of 17: 1, 17

Note: 17 is prime (only 2 factors)

🔍 Number Types

  • Prime Number: Has exactly 2 factors (1 and itself)
  • Composite Number: Has more than 2 factors
  • Perfect Number: Sum of factors equals twice the number
  • Perfect Square: Has an odd number of factors