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C++ Program to Check Whether a Number is Prime or Not
A prime number is a whole number that is greater than one and the only factors of a prime number should be one and itself. Some of the first prime numbers are −
2, 3, 5, 7, 11, 13 ,17
The program to check if a number is prime or not is as follows.
Example
#include <iostream>
using namespace std;
int main() {
int n=17, i, flag = 0;
for(i=2; i<=n/2; ++i) {
if(n%i==0) {
flag=1;
break;
}
}
if (flag==0)
cout<<n<<" is a prime number";
else
cout<<n<<" is not a prime number";
return 0;
}Output
17 is a prime number
In the above program, there is a loop that runs from 2 to half of n, where n is the number to be determined. Each of the values of the loop divide n. If the remainder of this division is 0, that means n is divisible by a number, not one or itself. So, it is not a prime number and the flag is set to 1. Then break statement is used to exit the loop.
for(i=2; i<=n/2; ++i) {
if(n%i==0) {
flag=1;
break;
}
}If the value of flag remained zero, then the number is a prime number and that is displayed. If the value of flag was changed to one, then the number is not a prime number and that is displayed.
if (flag==0) cout<<n<<" is a prime number"; else cout<<n<<" is not a prime number";
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