Prime factorization calculator

Find the prime factorization of an integer from 2 to 1 trillion. See the product of prime factors with their exponents and copy the result.

Result

Enter your data and run the tool. Your result will appear here.

One factor at a time

Open the branches one at a time to see how the number splits into factors.

The values you enter stay on this page. Reloading or closing it clears them.

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How to use the tool

Fill in these fields: Integer to factor (2–10¹²).
Select “Calculate” to obtain the result.
Factor an integer from 2 to 10¹² into primes.
Example: 360 = 2^3 × 3^2 × 5.
Zero, one and decimals are not supported.
Open the branches one at a time to see how the number splits into factors.
Show all steps · Copy steps

Method and principles

Formula

n = {p_{1}}^{a_{1}} \times {p_{2}}^{a_{2}} \times …

Prime factorization example

For 360, the result is 2³ × 3² × 5. Multiply the factors to get the original number back. An exponent shows how many times a factor appears. Entering a prime number returns just that number. The number 1 has no prime factorization and is outside the accepted input range.

Practical example

Input

Integer to factor (2–10¹²): 360

Result

360 = 2^{3} \times 3^{2} \times 5

Limits and checks

Limits and checks
Parameter	Value
Integer to factor (2–10¹²)	≥ 2; ≤ 1000000000000

Prime factorization calculator

Set your data

Result

One factor at a time

How to use the tool

Method and principles

Formula

Prime factorization example

Practical example

Limits and checks

Favorites

Prime factorization calculator

Set your data

Result

How to use the tool

Method and principles

Formula

Prime factorization example

Practical example

Limits and checks

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