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.
Tips
Enter the dimensions in the same unit for consistency.
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