Factor Calculator
List every factor and factor pair of a number and its prime factorization.
Enter your values to see the result.
Processing and privacy
Processing varies by tool. Check the instructions for local processing, server requests, external services and any file or request limits before entering sensitive information.
Read the privacy policyHow this calculation works
Understand the method, inputs and limits behind your result.
- Formula
- Test integer divisors up to √n. Each divisor d pairs with n/d; prime factorization repeatedly divides out prime factors.
- Variables
- Whole number
- Units
- Use the units shown beside each input. Counts and ratios are dimensionless unless labeled otherwise.
- Example
- 360 has 24 factors and a prime factorization of 2³ × 3² × 5, which is why it divides so neatly into degrees of a circle.
- Assumptions
- The result follows the selected options and supplied inputs. Displayed values may be rounded; check input precision before using the result.
- Source
- ToolzHive calculation guide and calculator implementation. External reference verification is pending.
- Last reviewed
- Review date not yet recorded.
Share this tool
Found it useful? Send it to a friend or teammate.
Rate this tool
0.0
0 ratings
- 5 stars 0
- 4 stars 0
- 3 stars 0
- 2 stars 0
- 1 star 0
Clear instructions
Find steps, examples and limitations below.
Use online
Open the tool in a supported web browser.
Free to use
No sign-up required. Tool-specific limits may apply.
How to use the Factor Calculator
List every factor and factor pair of a number and its prime factorization.
- 1 Enter a whole number.
- 2 Read the list of factors and whether the number is prime.
- 3 Open the factor pairs table for multiplications that give the number.
Example and practical tips
360 has 24 factors and a prime factorization of 2³ × 3² × 5, which is why it divides so neatly into degrees of a circle.
Frequently asked questions
What is a prime number?
A number greater than 1 whose only factors are 1 and itself, such as 2, 3, 5 and 7.
What is a perfect number?
A number equal to the sum of its factors other than itself, such as 6 = 1 + 2 + 3.
Practical guides
-
How to Use Factor Calculator
List every factor and factor pair of a whole number, see its prime factorization and sum of factors, and find out whether it is prime or a perfect square.
Report an issue
Something broken or not quite right? Tell us and we will look into it.