Prime Factorization Calculator
Break an integer into prime factors and see the factor list and exponent form directly in your browser.
Ready to use
Browser-side · no account · results stay on this page
Factorization
2^3 x 3^2 x 5
Prime factor list
2, 2, 2, 3, 3, 5
Prime factorization breaks a number into prime-number building blocks.
For example, 360 becomes 2^3 x 3^2 x 5.
Use whole numbers
Prime factorization is defined for integers greater than one.
Keep numbers moderate
The browser caps very large integers for responsiveness.
Example
360 factors into 2 x 2 x 2 x 3 x 3 x 5.
Assumption
The input is intended as an integer.
Limitation
It is not optimized for cryptographic-size numbers or formal proof work.
Divisibility
Inspect factor structure.
GCD and LCM
Support common factor calculations.
Education
Check factor tree work.
Number theory
Explore moderate integer factors.
What is prime factorization?
Prime factorization writes an integer as a product of prime numbers.
Can this factor negative numbers?
It factors the absolute value. You can treat the negative sign separately.
Is there a size limit?
Yes. The browser tool caps very large integers to keep the page responsive.
Does this prove primality for huge numbers?
No. It is a practical browser helper for moderate-sized integers.
What is prime factorization?
Prime factorization writes an integer as a product of prime numbers.
Can this factor negative numbers?
It factors the absolute value. You can treat the negative sign separately.
Is there a size limit?
Yes. The browser tool caps very large integers to keep the page responsive.
Does this prove primality for huge numbers?
No. It is a practical browser helper for moderate-sized integers.
Suggested workflow
Integer math workflow
Factor a number, then find common divisors and fractions.