## 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 `true` 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 iteself
for(int i=2;i<=numberToCheck/2;i++)
{
//numberToCheckber is dived 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. Elese continue 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```

Check our program to Find Prime Numbers from 1 to 100

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