Prime Factorization Calculator

Number
Show All Factors
Prime Factorization

{{result.primeFactorization}}

Exponential Form

CSV Format

{{result.csv}}

All Factors

{{result.allFactors}}

"Prime Factorization" refers to the process of breaking down a composite number into its simplest building blocks, which are prime numbers. In other words, it's the process of finding which prime numbers multiply together to form the original number.

It is useful for simplifying fractions, finding the greatest common divisor (GCD), and least common multiple (LCM) of numbers, among other mathematical operations.

Process:

  • Start with the smallest prime number, which is 2, and see if it divides the given number evenly.

  • If it does, divide the number by 2 and continue dividing by 2 until it is no longer possible.

  • Move on to the next prime number (3) and repeat the process.

  • Continue with each subsequent prime number (5, 7, 11, etc.) until the original number is reduced to 1.

The prime factors are usually written in ascending order, and repeated factors are expressed using exponents.

Prime factorization is a fundamental concept in number theory and has numerous applications in mathematics, particularly in algebra, number theory, and cryptography.


Featured Tools

Featured tools that you might find useful.

Popular Tools

List of popular tools that users love and frequently use.

New Tools

The latest tools added to our collection, designed for you.

Topics

The tools grouped by topics to quickly find what you need.
Location Coordinates Picker is a latitude and longitude coordinates picker that allows you to quickly pinpoint geographic locations by selecting precise latitude and longitude coordinates.

Location Coordinates Picker

Location Coordinates Picker is a latitude and longitude coordinates picker that allows you to quickly pinpoint geographic locations by selecting precise latitude and longitude coordinates.
Antipode Calculator: Click any city name or location on the map or entering the latitude and longitude coordinates, you can easily find its antipode (the opposite side of the world).

Antipode Calculator

Antipode Calculator: Click any city name or location on the map or entering the latitude and longitude coordinates, you can easily find its antipode (the opposite side of the world).
TI-84+ Scientific Calculator is a fully featured, pixel-perfect recreation of the Texas Instruments TI-84+ graphing calculator. It accurately replicates the genuine TI-84+ experience, offering advanced mathematical functions, complete keyboard support, and thorough testing for reliability.

TI-84+ Scientific Calculator

TI-84+ Scientific Calculator is a fully featured, pixel-perfect recreation of the Texas Instruments TI-84+ graphing calculator. It accurately replicates the genuine TI-84+ experience, offering advanced mathematical functions, complete keyboard support, and thorough testing for reliability.
Sun Position Calculator can calculates sun position (Solar Elevation Angle and Solar Azimuth Angle, etc.) for a given date and latitude/longitude.

Sun Position Calculator

Sun Position Calculator can calculates sun position (Solar Elevation Angle and Solar Azimuth Angle, etc.) for a given date and latitude/longitude.