Factor Calculator
Find all factors of a number, identify prime factors, and visualize factorization patterns.
Calculator
Enter a positive integer (1 – 1,000,000)
Find Prime Factorization
Show Factor Pairs
Factors
Factors will appear here
Prime Factorization
Prime factorization will appear here
Visualization
Total Factors
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Prime Factors
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Factor Pairs
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About Factors
What are Factors?
Factors are numbers that divide exactly into another number without leaving a remainder.
Prime Numbers
A prime number has exactly two factors: 1 and itself. The first few primes are 2, 3, 5, 7, 11, 13, etc.
Prime Factorization
Expressing a number as a product of its prime factors. Every number has a unique prime factorization.
How to Find Factors
To find all factors of a number N:
- Start with 1 and the number itself
- Test divisibility by integers up to √N
- For each divisor d, N/d is also a factor
- List all factors in ascending order
Examples
Number 12
Factors: 1, 2, 3, 4, 6, 12
Prime factors: 2² × 3
Number 28
Factors: 1, 2, 4, 7, 14, 28
Prime factors: 2² × 7
Number 17
Factors: 1, 17
Prime factors: 17 (prime number)