Prime factor calculator
Decompose any integer into its unique prime factor components and exponential powers instantly in your browser.
Target integerArbitrary precision (BigInt)
Exponential factorization2^3 × 3^2 × 5All prime factors: [2, 2, 2, 3, 3, 5]
Examples:
Fundamental Theorem of Arithmetic
Distinct prime bases3
Total prime factors6
How it works
1
Enter an integer
Input any whole number of arbitrary size supported by modern BigInt precision.
2
Prime factorization
Applies trial division and optimized algorithms to decompose the number into primes.
3
Exponential format
Outputs both the complete list and canonical exponential factor powers (e.g. 2³ × 3² × 5).
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