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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.

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2 Factors Decomposition -

Tag(s) : Arithmetics

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# 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.

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