Math & Scientific
Prime Factorization Calculator
Factor the absolute value of a nonzero integer up to 1,000,000,000 into prime factors using trial division. Integer factors are exact within this supported range. The result includes the total divisor count and lists at most the first 50 divisors in ascending order.
Prime Factorization Calculator is a browser-based way to work through a calculation. Feed it your number and it computes the result on the spot, keeping your data local.
About this calculator
Factor the absolute value of a nonzero integer up to 1,000,000,000 into prime factors using trial division. Integer factors are exact within this supported range. The result includes the total divisor count and lists at most the first 50 divisors in ascending order.
How to use
- Enter a nonzero whole number with absolute value at most 1,000,000,000. Negative inputs are factored by their absolute value.
- Press Calculate to run the prime factorization calculator.
- Read the prime factorization, total divisor count and the first 50 divisors at most; an ellipsis indicates additional divisors.
- Press Reset to clear the prime factorization calculator and start again.
Why use Prime Factorization Calculator
Fast
Calculations run in your browser. No round trip to a server.
Private
Your inputs never leave your device. Nothing is uploaded.
Free
No signup, no paywall, no ads-in-results, no watermarks.
Accurate
Based on standard, well-established formulas.
Mobile-ready
Optimised for phones, tablets, and desktops alike.
Transparent
Honest disclaimers wherever browser limits or regional rules apply.
Common uses
Use it when working through problems
Use it when revising for exams
Prime Factorization in statistics and data coursework
Use it when preparing worksheets
Prime Factorization in tutoring and teaching sessions
Use it for science-fair and project numbers
Technical notes
Factor the absolute value of a nonzero integer up to 1,000,000,000 into prime factors using trial division. Integer factors are exact within this supported range. The result includes the total divisor count and lists at most the first 50 divisors in ascending order.
Inputs are taken exactly as entered, so check for typos before trusting an answer.
Results are rounded for display; the underlying calculation keeps full precision.
FAQ
What does prime factorization mean?
Writing a number as a product of prime numbers — for example 60 = 2 × 2 × 3 × 5.
Does it also list divisors?
It shows the prime factorization and total number of positive divisors, with at most the first 50 divisors listed in ascending order. The displayed list can therefore be shorter than the total count.
What about the number 1?
1 has no prime factors; its only divisor is 1.
Does the Prime Factorization Calculator send my data to a server?
No — the Prime Factorization Calculator runs entirely in your browser, so the numbers you enter never leave your device.
Worked example
Factorise 60: 60 = 2 × 2 × 3 × 5 = 2² × 3 × 5.