# Ways to express a number as product of two different factors

Given a number n, write a program to calculate number of ways in which number can be expressed as product of two different factors.

**Examples :**

Input : 12 Output : 3 12 can be expressed as 1 * 12, 2 * 6 and 3*4. Input : 36 Output : 4 36 can be expressed as 1 * 36, 2 * 18, 3 * 12 and 4 * 9.

All factors of 12 are = 1, 2, 3, 4, 6, 12 We can observe that factors always exist in pair which is equal to number. Here (1, 12), (2, 6) and (3, 4) are such pairs.

As a number can expressed as product of two factors we only need to find number of factors of number upto square root of number. And we only need to find only different pairs so in case of perfect square we don’t include that factor.

## C++

`// CPP program to find number of ways ` `// in which number expressed as ` `// product of two different factors ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// To count number of ways in which ` `// number expressed as product ` `// of two different numbers ` `int` `countWays(` `int` `n) ` `{ ` ` ` `// To store count of such pairs ` ` ` `int` `count = 0; ` ` ` ` ` `// Counting number of pairs ` ` ` `// upto sqrt(n) - 1 ` ` ` `for` `(` `int` `i = 1; i * i < n; i++) ` ` ` `if` `(n % i == 0) ` ` ` `count++; ` ` ` ` ` `// To return count of pairs ` ` ` `return` `count; ` `} ` ` ` `// Driver program to test countWays() ` `int` `main() ` `{ ` ` ` `int` `n = 12; ` ` ` `cout << countWays(n) << endl; ` ` ` `return` `0; ` `} ` |

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## Java

`// Java program to find number of ways ` `// in which number expressed as ` `// product of two different factors ` `public` `class` `Main { ` ` ` ` ` `// To count number of ways in which ` ` ` `// number expressed as product ` ` ` `// of two different numbers ` ` ` `static` `int` `countWays(` `int` `n) ` ` ` `{ ` ` ` `// To store count of such pairs ` ` ` `int` `count = ` `0` `; ` ` ` ` ` `// Counting number of pairs ` ` ` `// upto sqrt(n) - 1 ` ` ` `for` `(` `int` `i = ` `1` `; i * i < n; i++) ` ` ` `if` `(n % i == ` `0` `) ` ` ` `count++; ` ` ` ` ` `// To return count of pairs ` ` ` `return` `count; ` ` ` `} ` ` ` ` ` `// Driver program to test countWays() ` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{ ` ` ` `int` `n = ` `12` `; ` ` ` `System.out.println(countWays(n)); ` ` ` `} ` `} ` |

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## Python 3

`# Python 3 program to find number of ways ` `# in which number expressed as ` `# product of two different factors ` ` ` `# To count number of ways in which ` `# number expressed as product ` `# of two different numbers ` `def` `countWays(n): ` ` ` ` ` `# To store count of such pairs ` ` ` `count ` `=` `0` ` ` `i ` `=` `1` ` ` ` ` `# Counting number of pairs ` ` ` `# upto sqrt(n) - 1 ` ` ` `while` `((i ` `*` `i)<n) : ` ` ` `if` `(n ` `%` `i ` `=` `=` `0` `): ` ` ` `count ` `+` `=` `1` ` ` `i ` `+` `=` `1` ` ` ` ` `# To return count of pairs ` ` ` `return` `count ` ` ` `# Driver program to test countWays() ` `n ` `=` `12` `print` `(countWays(n)) ` ` ` `# This code is contributed ` `# by Azkia Anam. ` |

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## C#

`// C# program to find number of ways ` `// in which number expressed as ` `// product of two different factors ` `using` `System; ` ` ` `public` `class` `main { ` ` ` ` ` `// To count number of ways in which ` ` ` `// number expressed as product ` ` ` `// of two different numbers ` ` ` `static` `int` `countWays(` `int` `n) ` ` ` `{ ` ` ` ` ` `// To store count of such pairs ` ` ` `int` `count = 0; ` ` ` ` ` `// Counting number of pairs ` ` ` `// upto sqrt(n) - 1 ` ` ` `for` `(` `int` `i = 1; i * i < n; i++) ` ` ` `if` `(n % i == 0) ` ` ` `count++; ` ` ` ` ` `// To return count of pairs ` ` ` `return` `count; ` ` ` `} ` ` ` ` ` `// Driver program to test countWays() ` ` ` `public` `static` `void` `Main() ` ` ` `{ ` ` ` `int` `n = 12; ` ` ` ` ` `Console.WriteLine(countWays(n)); ` ` ` `} ` `} ` ` ` `// This code is contributed by Anant Agarwal. ` |

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## PHP

`<?php ` `// PHP program to find number of ways ` `// in which number expressed as ` `// product of two different factors ` ` ` `// To count number of ways in which ` `// number expressed as product ` `// of two different numbers ` `function` `countWays(` `$n` `) ` `{ ` ` ` `// To store count of such pairs ` ` ` `$count` `= 0; ` ` ` ` ` `// Counting number of pairs ` ` ` `// upto sqrt(n) - 1 ` ` ` `for` `(` `$i` `= 1; ` `$i` `* ` `$i` `< ` `$n` `; ` `$i` `++) ` ` ` `if` `(` `$n` `% ` `$i` `== 0) ` ` ` `$count` `++; ` ` ` ` ` `// To return count of pairs ` ` ` `return` `$count` `; ` `} ` ` ` `// Driver Code ` `$n` `= 12; ` `echo` `countWays(` `$n` `), ` `"\n"` `; ` ` ` `// This code is contributed by ajit ` `?> ` |

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**Output :**

3

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