Prime Factorization Calculator
Enter a number to see its prime factorization
Result
How to use
- Enter your values in the fields above.
- Press Calculate to see your result instantly.
- Use the Share button to copy a link to your result.
About this calculator
This calculator breaks any whole number down into its prime factors using trial division — testing 2, 3, 5, 7 and onward until only primes remain — and shows both the expanded product and the compact exponent form (like 2³ × 3² × 5).
Math students use it to check factoring homework, and prime factorization is the foundation of topics like finding the GCD/LCM of numbers and the basic number theory that underlies public-key cryptography like RSA.
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