Factor Calculator
Find all factors of any positive integer with prime factorization, factor pairs, and detailed step-by-step solutions.
Enter Number
• Enter any positive integer up to 1,000,000
• The calculator will find all factors
• Prime factorization included
Results
Enter a positive integer to find its factors
Factor Properties
Factor Rules
• 1 is a factor of every number
• Every number is a factor of itself
• Factors come in pairs (except for perfect squares)
• Prime numbers have exactly 2 factors
Perfect Squares
• Have an odd number of factors
• One factor pairs with itself
• Examples: 1, 4, 9, 16, 25, 36...
Prime Numbers
• Have exactly 2 factors: 1 and itself
• Cannot be factored further
• Building blocks of all numbers
• Examples: 2, 3, 5, 7, 11, 13...
Composite Numbers
• Have more than 2 factors
• Can be broken down into prime factors
• Most numbers are composite
• Examples: 4, 6, 8, 9, 10, 12...
Examples
Example 1: Factors of 24
Factors: 1, 2, 3, 4, 6, 8, 12, 24
Prime factorization: 24 = 2³ × 3
Number of factors: (3+1) × (1+1) = 8
Factor pairs: (1,24), (2,12), (3,8), (4,6)
Example 2: Factors of 17
Factors: 1, 17
Prime factorization: 17 (prime number)
Number of factors: 2
Factor pairs: (1,17)
Frequently Asked Questions
Factors are positive integers that divide evenly into a given number with no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because each of these numbers divides 12 exactly.