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Prime Factoring Calculator for Primes Factorization of a Number

Calculator Preferences
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.

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.

 Number to find factors for
# 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

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.

Favorites

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".