Question

(25 points) Factorize Write a String method factorize(int n, int m) that when given a positive integer n and an integer m, returns a String representation of how many times n factors into m. Must use a while loop to get full credit.

Answer 1

You did'nt specify which language so I did the coding in java.

Ques1-

Code:

File name: main.java

import java.util.Scanner;
public class Main
{
    //function to count number of factorization
    public static String factorize(int n,int m) {
        int count=0; //count variable to count number of times perfect division occurs
        while(m>=n)
        {
              count = count + 1;
              m /= n; //re-initializing variable m
        }
        String rev = Integer.toString(count); //converting integer to string
        return rev;
    }
    //driver function
        public static void main(String[] args) {
              Scanner scan = new Scanner(System.in);
              int number1 , number2;
        //taking inputs for m and n
        System.out.print("Enter first number(m) : ");
        number1 = scan.nextInt();
        System.out.print("Enter second number(n) : ");
        number2 = scan.nextInt();
        System.out.print("Number of times "+number2+" factors into "+number1+" : "+factorize(number2,number1)); //printing the result
        }
}

Output:

: C:\Users\rahul\Desktop>java band Enter first number : 100 on Enter second number : 5 Number of times 5 factors into 100 : 2 C:\Users\rahul\Desktop>java band Enter first number : 200 t Enter second number : 5 Number of times 5 factors into 200 : 3 C:\Users\rahul\Desktop>java band Enter first number : 27 En Enter second number : 3 Number of times 3 factors into 27 : 3 C:\Users\rahul\Desktop>.

Ques2-

File name: Main.java

Code:

import java.util.Scanner;
public class Main
{
    //function to print tables in tabular format
    public static void printProductTable(int n,int m) {
      
      for(int i=1;i<=n;i++) //loop handles row part
      {
          for(int j=1;j<=m;j++)//loop handles column part
          {
            System.out.printf("%d\t",i*j); //print tables column wise when i value does'nt change 
                                           //and j value incrementing during each iteration
          }
        System.out.printf("\n"); 
      }
        
    }
    //driver funtion
        public static void main(String[] args) {
            Scanner scan = new Scanner(System.in);
            int row , col;
            //taking inputs for n rows and m columns
        System.out.print("Enter number of rows : "); 
        row = scan.nextInt();
        System.out.print("Enter number of columns : "); 
        col = scan.nextInt();
        printProductTable(row,col); //calling function
        }
}

Output:

input n 1 5 Enter number of rows : 7 Enter number of columns : 5 2 3 4 2 4 6 8 3 6 9 12 4 8 12 16 5 10 15 20 16 12 18 24 7 14 21 28 10 15 < 20 25 30 35 .. Program finished with exit code 0 Press ENTER to exit console. I