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.
Moon Position Calculator can calculate moon position (altitude and azimuth, etc.) for a given date, time and latitude/longitude.

Moon Position Calculator

Moon Position Calculator can calculate moon position (altitude and azimuth, etc.) for a given date, time and latitude/longitude.
Moon Times Calculator is a geographic tool that can calculate the moon's rise and set times for a given date, latitude/longitude. The calculator provides detailed information about the moon's rise and set times and accounts for geographical latitude and longitude, as well as local time zones, ensuring highly accurate predictions.

Moon Times Calculator

Moon Times Calculator is a geographic tool that can calculate the moon's rise and set times for a given date, latitude/longitude. The calculator provides detailed information about the moon's rise and set times and accounts for geographical latitude and longitude, as well as local time zones, ensuring highly accurate predictions.
Moon Illumination Calculator is a geographic tool designed to provide accurate and detailed information about the moon's phases for any given date and time.

Moon Illumination Calculator

Moon Illumination Calculator is a geographic tool designed to provide accurate and detailed information about the moon's phases for any given date and time.
Geo Coordinate Format Converter supports the conversion of latitude and longitude coordinates between Degrees Minutes Seconds (DMS) format, Degrees Minutes (DM) format, and Decimal Degrees (DD) format, facilitating their direct use in mapping services like Google Maps.

Geo Coordinate Format Converter

Geo Coordinate Format Converter supports the conversion of latitude and longitude coordinates between Degrees Minutes Seconds (DMS) format, Degrees Minutes (DM) format, and Decimal Degrees (DD) format, facilitating their direct use in mapping services like Google Maps.