# Program to print factors of a number in pairs

Given a number n, the task of the programmer is to print the factors of the number in such a way that they occur in pairs. A pair signifies that the product of the pair should result in the number itself;

Examples:

```Input : 24
Output : 1*24
2*12
3*8
4*6

Input : 50
Output : 1*50
2*25
5*10
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

The simplest approach for this program is that we run a loop from 1 to the square root of N and print and print ‘i’ and ‘N%i’ if the number N is dividing ‘i’.

The mathematical reason why we run the loop till square root of N is given below:

If a*b = N where 1 < a ≤ b < N
N = ab ≥ a^2 ⇔ a^2 ≤ N ⇔ a ≤ √N

## C++

 `// CPP program to print prime factors in ` `// pairs. ` `#include ` `using` `namespace` `std; ` ` `  `void` `printPFsInPairs(``int` `n) ` `{ ` `    ``for` `(``int` `i = 1; i * i <= n; i++) ` `        ``if` `(n % i == 0) ` `            ``cout << i << ``"*"` `<< n / i << endl; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `n = 24; ` `    ``printPFsInPairs(n); ` `    ``return` `0; ` `} `

## Java

 `// Java program to print prime factors in ` `// pairs. ` `public` `class` `GEE { ` ` `  `    ``static` `void` `printPFsInPairs(``int` `n) ` `    ``{ ` `        ``for` `(``int` `i = ``1``; i * i <= n; i++) ` `            ``if` `(n % i == ``0``) ` `                ``System.out.println(i + ``"*"` `+ n / i); ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` ` `  `        ``int` `n = ``24``; ` `        ``printPFsInPairs(n); ` `    ``} ` `} `

## C#

 `// C# program to print prime factors in ` `// pairs. ` `using` `System; ` `public` `class` `GEE { ` ` `  `    ``static` `void` `printPFsInPairs(``int` `n) ` `    ``{ ` `        ``for` `(``int` `i = 1; i * i <= n; i++) ` `            ``if` `(n % i == 0) ` `                ``Console.Write(i + ``"*"` `+ n / i + ``"\n"``); ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `Main() ` `    ``{ ` ` `  `        ``int` `n = 24; ` `        ``printPFsInPairs(n); ` `    ``} ` `} `

## Python 3

 `# Python 3 program to print prime factors in ` `# pairs. ` `  `  `def` `printPFsInPairs(n):  ` `    ``for` `i ``in` `range``(``1``, ``int``(``pow``(n, ``1` `/` `2``))``+``1``): ` `        ``if` `n ``%` `i ``=``=` `0``: ` `            ``print``(``str``(i) ``+``"*"``+``str``(``int``(n ``/` `i)))    ` `  `  `# Driver code ` `n ``=` `24` `printPFsInPairs(n) `

## PHP

 ` `

Output:

```1*24
2*12
3*8
4*6
```

My Personal Notes arrow_drop_up If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

Improved By : chitranayal

Article Tags :
Practice Tags :

1

Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.