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# Maximum value of an integer for which factorial can be calculated on a machine in C++

In this problem, we need to create a program to find Maximum value of an integer for which factorial can be calculated on a machine in C++.

Factorial of a number is a huge value, as it is the product of all values preceding it. And C++ can handle large values only upto a certain value by using its inbuilt function. We need to find this restriction.

## Solution Approach

We will simply use the property of data types which is when the numbers exceed the maximum value a negative number is returned.

We will use long long int which is the largest basic data type.

## Example

#include <iostream> using namespace std; int calcMaxFactVal(){ int maxVal = 1; long long int maxFactorial = 1; while (true){ if (maxFactorial < 0) return (maxVal - 1); maxVal++; maxFactorial *= maxVal; } return - 1; } int main(){ cout<<"The maximum value of an integer for which factorial can be calculated on machine is "<<calcMaxFactVal(); return 0; }

## Output

The maximum value of an integer for which factorial can be calculated on machine is 20

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