Prime Factorization Calculator

Enter a number — get the prime factor list, the exponent form, and the division ladder (factor tree steps). Example: 60 = 2 x 2 x 3 x 5.

Number (2 or more, integer)

Enter a value — the result will show here live.

How to use

Enter a whole number of 2 or more.
The result will show the prime factors, their power form (like 2 to the power 2 x 3 x 5) and every division step.
Use the exponent form for the compact answer, and the division ladder to follow the method step by step.

Numbers ending in 0, 2, 4, 5, 6 or 8 have an obvious first factor — start there.
The exponent form (like 2 to the power 2 times 3 times 5) is the compact answer teachers expect.
Very large inputs can take a moment — keep numbers under 1,000,000,000,000.

Note: Uses the trial division method: keep dividing by the smallest prime until 1 is left. Input is limited to 1,000,000,000,000.

Breaking a number into the prime numbers that multiply to make it, for example 60 = 2 x 2 x 3 x 5.

The prime factor list, the exponent form, and the division ladder (factor tree steps).

It shows every division step: keep dividing by the smallest prime until 1 is left, so you can follow the method step by step.

The input is limited to 1,000,000,000,000. Very large inputs can take a moment because the tool uses the trial division method.