Soham

 public class NumberTriangle {

 public static void main(String[] args) {

 int n = 5; // Number of rows in the triangle

 for (int i = 1; i <= n; i++) { // Loop for each row

 for (int j = 1; j <= i; j++) { // Loop to print numbers in each row

 System.out.print(j + " ");

 }

 System.out.println(); // Move to the next line after printing each row

 }

 }

}






public class FactorialList {

 public static void main(String[] args) {

 int number = 1; // Start with the number 1 while (number <= 10) { // Loop through numbers from 1 to 10

 int factorial = 1;

 int i = number;

 // Calculate factorial using a while loop

 while (i > 0) {

 factorial *= i;

 i--;

 }

 // Print the factorial of the current number

 System.out.println("Factorial of " + number + " = " + factorial);


 number++; // Move to the next number

 }

 }

}








public class DivisionByZeroDemo {

 public static void main(String[] args) {

 int numerator = 10;

 int denominator = 0;

 int result;

 try {

 // Attempt to divide by zero

 result = numerator / denominator;

 System.out.println("The result is: " + result);

 } catch (ArithmeticException e) {

 // Handle the division by zero exception

 System.out.println("Error: Division by zero is not allowed.");

 System.out.println("Exception message: " + e.getMessage());

 }

 }

}








import java.util.Scanner;

public class CircleCalculator {

 public static void main(String[] args) { Scanner scanner = new Scanner(System.in);

 // Prompt the user to enter the radius

 System.out.print("Enter the radius of the circle: ");

 double radius = scanner.nextDouble();

 // Calculate the area and circumference

 double area = Math.PI * radius * radius;

 double circumference = 2 * Math.PI * radius;

 // Display the results

 System.out.println("Area of the circle: " + area);

 System.out.println("Circumference of the circle: " + circumference);

 // Close the scanner

 scanner.close();

 }

}





b) Write a Java program to accept a number and find whether the number is Prime or not.

import java.util.Scanner;

public class PrimeChecker {

 public static void main(String[] args) {

 Scanner scanner = new Scanner(System.in);

 // Prompt the user to enter a number

 System.out.print("Enter a number: ");

 int number = scanner.nextInt();







// Check if the number is prime

 boolean isPrime = isPrime(number);

 // Display the result

 if (isPrime) {

 System.out.println(number + " is a prime number.");

 } else {

 System.out.println(number + " is not a prime number.");

 }

 // Close the scanner

 scanner.close();

 }

 // Method to check if a number is prime

 public static boolean isPrime(int num) {

 if (num <= 1) {

 return false; // Numbers less than or equal to 1 are not prime

 }

 for (int i = 2; i <= Math.sqrt(num); i++) {

 if (num % i == 0) {

 return false; // If num is divisible by any number other than 1 and itself, it is not prime

 }

 }

 return true; // If no divisors found, num is prime

 }

}






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