#include<bits/stdc++.h>
using namespace std;
bool zs (int x) {
if(x==0 || x==1) return 0;
for (int i = 2; i <= sqrt(x); i++) {
if(x % i == 0) return 0;
}
return 1;
}
int main() {
string a;
while (1) {
cout << "Enter the number=" << endl;
cin >> a;
bool flag = 0;
int num = 0;
int l = a.length();
for (int i = 0; i < l; i++) {
if (a[i] >= '0' && a[i] <= '9') {
flag = 1;
num = num * 10 + a[i] - '0';
}
}
if(!flag) return 0;
cout << "Prime? ";
flag = 0;
if (num > 40000000) {
cout << "No!" << endl;
cout << "The number if too large!" << endl << endl;
continue;
}
if (!zs(num)) {
cout << "No!" << endl;
if (num == 1 || num == 0) {
cout << endl;
continue;
}
cout << num << "=";
for(int i = 2; i <= num; i++) {
int cnt = 0;
while(num % i == 0) {
num /= i;
cnt++;
}
if (cnt) {
if(!flag) {
cout << i << "^" << cnt;
flag = 1;
}
else cout << "*" << i << "^" <<cnt;
}
}
cout<<endl;
} else {
cout << "Yes!" << endl;
}
cout << endl;
}
return 0;
}