Search for a tool
2 Factors Decomposition

Tool to decompose a number in 2 factors. The decomposition in 2 factors of an integer N consists in finding 2 divisors which can be multiplied to give N.

Results

2 Factors Decomposition -

Tag(s) : Arithmetics

Share dCode and you

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!

Team dCode likes feedback and relevant comments; to get an answer give an email (not published). It is thanks to you that dCode has the best 2 Factors Decomposition tool. Thank you.

# 2 Factors Decomposition

## Two Integers Factorization

Tool to decompose a number in 2 factors. The decomposition in 2 factors of an integer N consists in finding 2 divisors which can be multiplied to give N.

### How to find two factors of a numbers?

Perform a search of all the divisors of the number N. All the combinations of 2 factors having for product the number N are the pairs $$d_1, d_2$$ with $$d_1$$ a divisor and $$d_2 = N / d_1$$ the result of the division.

Example: 12 can be decomposed into prime factors as 2*2*3. The list of divisors of 12 is therefore composed of 2, 3 but also 2*2=4 and 2*3=6. So couples of two factors can be deducted: 2*6 and 3*4 (There are also 12*1 but it is obvious).

Note that N is a multiple of all divisor numbers found.

The list obtained is exhaustive, but if there are many factors, the program could be limited to the first results.

### Why to find two factors of a numbers?

From a number, the factorization makes it possible to find 2 divisors.

Example: From an area of a rectangle, the factorization makes it possible to find the height and the length.

### How to lists divisors of a number?

Use the dCode tool for listing the divisors of any number.

### How to make a prime factors decomposition?

Use the dCode tool for prime factors decomposition.

## Source code

dCode retains ownership of the source code of the script 2 Factors Decomposition online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online 2 Factors Decomposition script for offline use on PC, iPhone or Android, ask for price quote on contact page !