We intend to find the number of trailing zeros in the factorial of a number.
For example 1. If entered number (num) is 5, the factorial of 5 is :120, then
Output:1 (as there is only one zero at end in 120)
example 2. If entered number (num) is 10 ,the factorial of 10 is:3628800
Output:2
//Program to find the number of trailing zeros in the factorial of a number
#include <iostream>
using namespace std;
int main()
{
int count=0,num; //count initialized by 0
cout<<"ENTER THE NUMBER:\n";
cin>>num;
cout<<"\nFINDING THE NUMBER OF TRAILING ZEROS IN THE FACTORIAL OF THIS NUMBER...\n\n";
for(int i=5 ; (num/i)>=1 ; i*=5)
{
count + = num/i; //loop counts the number of trailing zeros
}
cout<<"THE NUMBER OF TRAILING ZEROS IN THE FACTORIAL OF "<<num<<" IS:"<<count<<"\n";
}
