What is a Prime Number?

A prime number is a number that is only divisible by 1 or itself. For example, 11 is only divisible by 1 or itself. Other Prime numbers 2, 3, 5, 7, 11, 13, 17….

Note: 0 and 1 are not prime numbers. 2 is the only even prime number.

Java Program to check whether number is prime or not

Program Logic:

• We need to divide an input number, say 17 from values 2 to 17 and check the remainder. If remainder is 0 number is not prime.
• No number is divisible by more than half of itself. So we need to loop through just numberToCheck/2 . If input is 17, half is 8.5 and the loop will iterate through values 2 to 8
• If a numberToCheck is completely divisible by other number, flag isPrime is set to false and the loop is exited.

public class PrimenumberToCheckCheck {
 
 public static void main(String[] args) {
  int remainder;
  boolean isPrime=true;
  int numberToCheck=17; // Enter the numberToCheckber you want to check for prime
        
  //Loop to check whether the numberToCheckber is divisible any numberToCheckber other than 1 and itself
  for(int i=2;i<=numberToCheck/2;i++)
  {
   //numberToCheckber is divided by itself
            remainder=numberToCheck%i;
            System.out.println(numberToCheck+" Divided by "+ i + " gives a remainder "+remainder);
            
       //if remainder is 0 than numberToCheckber is not prime and break loop. Else continue the loop
     if(remainder==0)
     {
        isPrime=false;
        break;
     }
  }
  // Check value true or false, if isprime is true then numberToCheckber is prime otherwise not prime
  if(isPrime)
     System.out.println(numberToCheck + " is a Prime numberToCheckber");
  else
     System.out.println(numberToCheck + " is not a Prime numberToCheckber");
    }
  }

Output:

17 Divided by 2 gives a remainder 1
17 Divided by 3 gives a remainder 2
17 Divided by 4 gives a remainder 1
17 Divided by 5 gives a remainder 2
17 Divided by 6 gives a remainder 5
17 Divided by 7 gives a remainder 3
17 Divided by 8 gives a remainder 1
17 is a Prime Number