Prime Factorization
Express a positive integer as repeated prime factors and exponent form.
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What is Prime Factorization?
Prime Factorization decomposes a positive integer into prime factors and combines repeats as exponents.
How to use Prime Factorization
- 01
Enter a whole number up to one billion.
- 02
Use the factor list or exponent form required by your work.
- 03
Copy the repeated factors or compact exponent representation.
Prime Factorization FAQ
Why do the factors multiply back to the original number?
The fundamental theorem of arithmetic states that every integer greater than one has a unique prime factorization apart from order.
Is Prime Factorization private to use?
Yes. Number parsing, statistics, conversions and random generation all run locally in your browser.