Prime Factorization Calculator - Prime Test, Factors, and Divisor List

Test if a number is prime and get its full prime factorization plus divisor list

🔒 100% in-browser🆓 Free forever⚡ No sign-up
Prime?
No - 360 is composite
Prime factorization
360 = 2^3 × 3^2 × 5
Distinct primes: 2, 3, 5
Divisors (24)
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Trial division up to √n. Divisor list shown only when n ≤ 1,000,000 to keep the page fast.
Estimates only. Results are generated by generalised formulas from the inputs you provide and are for informational purposes only. They are not financial, tax, legal, medical, or professional advice, and do not account for your individual circumstances, jurisdiction, taxes, fees, or health conditions. Verify important figures with a qualified professional. By using this tool you agree to our Terms & Disclaimer.

How it works

  1. 1
    Enter a number

    Any positive integer up to 1 trillion.

  2. 2
    Read prime test

    The tool tells you immediately whether the number is prime or composite.

  3. 3
    Read factorization & divisors

    Composite numbers show their full prime factorization; numbers up to 1,000,000 also show the complete divisor list.

About Prime Factorization Calculator - Prime Test, Factors, and Divisor List

Free prime factorization calculator. Enter any integer from 1 to 1,000,000,000,000 to check whether it is prime, get its complete prime factorization in exponent form (e.g. 360 = 2³ × 3² × 5), and (for smaller numbers) see the full list of divisors. Uses efficient trial division. Runs entirely in your browser. Prime Factorization Calculator - Prime Test, Factors, and Divisor List on 712 Tools runs entirely inside your browser using modern JavaScript APIs - no server ever sees your data. That means instant results, complete privacy, and no upload limits.

Whether you need to test if a number is prime and get its full prime factorization plus divisor list for a debugging session, a quick sanity check, or a production incident, this tool is free to use as many times as you need. There are no watermarks, no sign-up, and no ads inside the tool itself.

Frequently asked questions

How does the tool factor large numbers?

Trial division up to the square root - fast enough for numbers up to about a trillion in the browser. Very large semiprimes would need more advanced algorithms.

Why is 1 not prime?

By convention. A prime has exactly two distinct positive divisors (1 and itself); 1 only has one.

Is my data uploaded?

No. All calculations run entirely in your browser.