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Prime Factoring Calculator for Primes Factorization of a Number

Calculator Preferences
Prime Factoring Calculator Sign
Prime Factoring Calculator

This calculator will quickly generate a list of prime (natural) numbers that are factors of a given number, plus simplify the primes into an exponential expression, and show its work so you can verify the result. The Learn tab includes:

  • What are Prime Numbers?
  • How to manually find prime factors of a number.
Learn More

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 number you would like the prime factorization calculator to find the primes for (maximum of 1 million). Note that the factorization of numbers larger than 10,000 may not be completed, however the prime factoring calculator will show its work so you can check to make sure.

# primes:Number of primes:Number of prime factors:Number of prime factors:

Number of prime factors:

This is how many prime numbers were found to be factors of the entered number.

Prime list:Prime number list:Prime number list:Prime number list:

Prime number list:

This is the list of prime numbers found to be factors of the entered number. Just beneath the list you will see the simplified primes format, along with the series of multiplications that checks to make sure the factorization was calculated correctly (numbers greater than 10,000 may be too large to complete the factorization).

If you would like to save the current entries to the secure 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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Tip

About

About the Prime Factoring Calculator

This calculator will save a lot of time and tedium by finding factors for any number less than or equal to 10,000 with the click of a button (may accommodate numbers as high as 1 million -- depending on the number entered -- and calculator will show its work so you can check to make sure the factorization was completed).

Plus the prime factoring calculator will simplify the list of prime numbers found into an exponential expression.

If you would like to see if a number is prime before attempting to factor it, please visit the prime number checker.

Or, if you wish to generate a customizable, printable list of primes, please visit the prime number generator.

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Instructions

How to use the Prime Factoring Calculator

Step #1:

Enter the number you would like to find the prime factors for.

Step #2:

Tap the "Find Prime Factors" button. This will find all of the prime factors of the entered number, simplify the found factors into an exponential expression, and show the multiplications so you can verify the results.

Saving Entries:

If your web browser supports Local Storage, you can save your entries to your web browser so won't have to start over on your next visit. Please note that your saved entries can only be retrieved from the same device and web browser you were using when you stored them. If you would like to access your saved entries from any device I invite you to subscribe to the Ad-Free Member Version.

To save your entries to your web browser, click or tap the Data tab in the Help and Tools section (mobile: top right of the main screen), select "New Data Record" from the drop-down menu, enter a name for the data record, and then tap or click the Save button.

To load previously saved entries, click or tap the Data tab and select the saved data record from the drop-down menu. You can then save any changes to your entries by simply clicking the Save button while the data record is selected.

To clear a named set of saved entries, click or tap the Data tab, select the saved data record from the drop-down menu, and then tap or click the Clear button.

Numbers and Decimals:

Only numeric characters (0-9 and decimal points) may be entered in numeric fields. Non-numeric characters (dollar signs, percent signs, commas, etc.) may cause calculation errors. If the field includes a grid icon, tapping the icon will open a popup keypad which will include only the characters allowed in the field. If your device keypad does not include a decimal point, use this popup keypad to enter decimal numbers where applicable.

Popup Tool Tips:

Tap the info (i) icons for a further explanation of each entry field (you can click [X] or outside of the pop-up tool tips to close them). A summary of these explanations, along with any additional term explanations, can also be found under the Terms tab.

Disclaimer:

Since I can't test for every possible combination of numbers, please be sure to double-check the results of this calculator yourself before considering them to be valid. If you do discover an issue with the calculated results, please report the issue using the feedback form located below the calculator.

Scrolling & Shrinking:

In order to scroll the calculator vertically you will need to swipe just outside of the calculator's dark-blue border, or use the window's far right-hand scroll bar, whichever is applicable to your device.

If the top section of the calculator becomes to tall for your viewport, tapping in the "Enter a problem..." field should reset the top section to its original height.

Disclaimer:

The Algebra Calculator is the only calculator on the site that I did not create myself. And since I did not create it, I don't have access to the code for fixing any issues you may be experiencing. So if you are having issues with the calculator, please visit the support page at Mathway.com for assistance.

Glossary

Fields, Terms, and Definitions.

Reset button:

Clicking the "Reset" button will restore the calculator to its default settings.

Pocket Calculator

Calculate any amounts needed to enter into calculator.

 

Data Management

Save and retrieve entries and notes (requires HTML5 compliant web browser).

Calculator Data

Calculator Data:

If you are using the latest version of your web browser software, this feature will allow you to save your calculator entries to your web browser's local storage in between visits. This means the calculator entries can only be recalled with the same device and web browser you were using when you saved them. If you'd like to save data between devices you will need to subscribe to the Ad-Free Member Version.

Save: To save a new set of calculator entries, select "New Data Record" from the dropdown list, enter a nickname for the data record, then click the "Save" button.

Load: To load a previously saved set of calculator entries, simply select the name of the data record from the dropdown list.

Save Changes: To save changes to a set of previously saved calculator entries, be sure the name of the data record is selected, and then click the "Save" button.

Clear: To clear a saved set of entries, be sure the name of the data record is selected, and then click the "Clear" button.

Backup Data
My Notes:
Subscribe to the Cloud level of the Ad-Free Member Version to save your entries and notes to a secure online database, allowing you to access your saved entries from any device or web browser.

Sorry! The Save functions are bonus features reserved for those who allow ads to display on the page.

If you would like to use the Save features, please disable ad blocking for this website and refresh the page. Or you can choose to subscribe to the Ad-Free Member Version of the site.

Help and Tools

Help and Tools:

This section, which you can Unstick or Hide in the Calculator Preferences (just above the top of the calculator), contains the following tabs (content too long to fit within bordered frame can be scrolled up and down):

About: Click this tab for an introduction to the calculator.

Instructions: Click this tab for step-by-step instructions for using the calculator.

Terms: Click this tab for a list of the descriptions that are located within each popup help button (info icons).

PCalc: Click this tab for a handy "pocket" calculator you can use when you need to calculate an entry needed for the calculator.

Data: Click this tab to save a set of entries or a note in between visits. Entries and notes will be stored to your web browser's local storage (if supported by your browser of choice), meaning they can only be recalled with the same device and web browser you were using when you saved them. If you'd like to save entries and notes between devices you can do so by subscribing to the Ad-Free Member Version.

 

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