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.

Tips

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.