Code not working beyond a certain value

#include<iostream>
using namespace std;
int fact(int n){
    float f=1;
    while(n){
        f=f*n;
        n--;
    }
    return f;
}
int main(){
    float temp;
    int ans, zero=0, num;
    cout<<"enter a number :";
    cin>>num;
    ans=fact(num);
    cout<<"factorial of "<<num<<" is "<<ans;
    temp=ans;
    for( ; ; ){
        ans=ans/10;
        temp=temp/10;
        if(ans==temp){
            zero++;
            continue;
        }
        else{
            break;   
        }
    }
    cout<<"number of zero's :"<<zero;
}

#include<iostream>
using namespace std;
int fact(int n){
    float f=1;
    while(n){
        f=f*n;
        n--;
    }
    return f;
}
int main(){
    int two=0, ten=0, fiv=0, ft=0 ,num;
    float fac;
    cout<<"enter a number";   
    cin>>num;
    fac=fact(num);
    cout<<"factorial of "<<num<<" is "<<fac;
    while(num){
        if(num%10==0){
            ten++;   
        }
        else if(num%2==0){
            two++;
        }
        else if(num%5==0){
            fiv++;   
        }
        else{
            continue;   
        }
        num--;
    }
    while(two!=0||fiv!=0){
        ft++;
        fiv--;
        two--;
    }
    cout<<"number of zeroes behind the number is "<<ft+ten;
}