Factoring Calculator to Find All Divisors and Factor Pairs of a Number

Factoring Calculator Sign

This number factorization calculator will quickly find all factors for any number less than or equal to 10 million, plus it will display all of the factor pairs for which the product of each set of numbers is equal to the number entered.

If you are interested in finding the prime factors of a number, please visit the prime factorization calculator.

Or, if you want to check to see if a number is prime before you attempt to factor it, feel free to visit the prime number checker.

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Factoring Calculator

Find all factors of a number and display all factor pairs.

Special Instructions

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Selected Data Record:

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".

DataData recordData recordSelected data record: None
Number:Number:Number to factor:Number to find factors for:

Number:

Enter the positive integer you would like to find the factors for (maximum of 10 million).

#
# divisors:Number of divisors:Number of divisors:Number of divisors:

Number of divisors:

This is the number of divisors the factoring calculator found for the number you entered (individual divisors will be listed in the text field below).

Factor list:Factor list:Factor list:Factor list:

Factor list:

This line lists all of the factors (divisors) found by the factoring solver.

If you would like to save the current entries to the secure online database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

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Help and Tools

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What factoring is and what it's used for.

What is Factoring?

Factoring in math is the process of finding all number sets for which the products (result when pair is multiplied) are equal to the number you are factoring. These number sets are typically referred to as the factors or divisors of a given number.

For example, if the number you are trying to find the divisors for is 24, the qualifying number sets would be as follows:

(1,24) since 1 x 24 = 24

(2,12) since 2 x 12 = 24

(3,8) since 3 x 8 = 24

(4,6) since 4 x 6 = 24

Next, if we combine the above divisors into a single list, and order the list from smallest to largest, your factors for the number 24 would look like this:

1, 2, 3, 4, 6, 8, 12, 24

What is Factoring Used For?

Factoring in math is often most often used for finding the greatest common factor (GCF) for two or more numbers, as well as for prime factorization and for simplifying fractions, expressions, and equations. I cover each of these factoring concepts on their corresponding calculators.

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Adjust Calculator Width:

Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.

Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size ... since they will not need to be "thumb friendly".

Show/Hide Popup Keypads:

Select Show or Hide to show or hide the popup keypad icons located next to numeric entry fields. These are generally only needed for mobile devices that don't have decimal points in their numeric keypads. So if you are on a desktop, you may find the calculator to be more user-friendly and less cluttered without them.

Stick/Unstick Tools:

Select Stick or Unstick to stick or unstick the help and tools panel. Selecting "Stick" will keep the panel in view while scrolling the calculator vertically. If you find that annoying, select "Unstick" to keep the panel in a stationary position.

If the tools panel becomes "Unstuck" on its own, try clicking "Unstick" and then "Stick" to re-stick the panel.