C++ program to find if n factorial is divisible by sum of first n numbers or not:
In this post, we will learn how to find the n factorial is divisible by sum of first n numbers or not. This program will take the value of n as input from the user and print one message that it is divisible by the sum of first n or not.
Algorithm:
Our program will take the value of n and it will use two different functions to:

Calculate the factorial.
 Factorial of a number is equal to the product of all numbers from 1 to n. So, we will write one function that will find the products from 1 to n.
 Calculate the sum from 1 to n.
 Check if both of these values are equal or not.
C++ program:
Letâ€™s write down the program:
#include <iostream>
using namespace std;
int findFactorial(int n)
{
int factorial = 1;
for (int i = 1; i <= n; i++)
{
factorial *= i;
}
return factorial;
}
int findSum(int n)
{
return n * (n + 1) / 2;
}
int main()
{
int n;
cout << "Enter the value of n: " << endl;
cin >> n;
int factorial = findFactorial(n);
int sum = findSum(n);
if (sum == factorial)
{
cout << "Both sum and factorial values are equal" << endl;
}
else
{
cout << "Sum and factorial values are not equal" << endl;
}
}
Here,

findFactorial method is used to find the factorial for a number. It takes one int value as the parameter and returns the factorial for that number.
 This method creates one integer variable factorial initialized as 1.
 It runs one for loop from i = 1 to i = n.
 On each iteration, it multiplies the value of i with factorial.
 Once the loop ends, factorial variable holds the factorial of n.
 findSum method is used to find the sum of 1 to n. It takes the value of n and returns the sum.
 The program is taking the value of n as an input from the user and storing that value in the variable n.
 It calculates the factorial and sum, stores these values in factorial and sum integer variables.
 The final ifelse block check if both sum and factorial are equal or not. Based on that, it prints one message.
Sample output:
If you run this program, it will print output as like below:
Enter the value of n:
3
Both sum and factorial values are equal
Enter the value of n:
10
Sum and factorial values are not equal
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