Matlab Program to Create Integer Divisibility Function Assignment Solution

Instructions

Objective

Write a program to create integer divisibility function in matlab.

Requirements and Specifications

Source Code

PROBLEM 1 %% Question 1 % Variable to count the number of integers n = 0; % Variable to store the integers that are divisible by 12 integers_12 = []; % Loop from 1 to 10000 for i = 1:10000 if mod(i, 12) == 0 integers_12(n+1) = i; n = n + 1; end end % Now, get all integers that, when multiplied by the next integer divisble % by 12, the result is divisible by 37 % Create a variable to count integers that meets both conditions nintegers = 0; % Variable to store the largest of these numbers largest_integer = 0; for i = 1:length(integers_12)-1 n1 = integers_12(i); n2 = integers_12(i+1); if mod(n1*n2,37) == 0 nintegers = nintegers + 1; if n1 > largest_integer largest_integer = n1; end end end fprintf("There are %d integers divisible by 12 that when multiplied by the next largest integer is divisible by 37.\n", nintegers) fprintf("The largest of these integers is %d\n", largest_integer); PROBLEM 2 %% Question 1 % Variable to count the number of integers n = 0; % Variable to store the integers that are divisible by 12 integers_12 = []; % Loop from 1 to 10000 for i = 1:10000 if mod(i, 12) == 0 integers_12(n+1) = i; n = n + 1; end end % Now, get all integers that, when multiplied by the next integer divisble % by 12, the result is divisible by 37 % Create a variable to count integers that meets both conditions nintegers = 0; % Variable to store the largest of these numbers largest_integer = 0; for i = 1:length(integers_12)-1 n1 = integers_12(i); n2 = integers_12(i+1); if mod(n1*n2,37) == 0 nintegers = nintegers + 1; if n1 > largest_integer largest_integer = n1; end end end fprintf("There are %d integers divisible by 12 that when multiplied by the next largest integer is divisible by 37.\n", nintegers) fprintf("The largest of these integers is %d\n", largest_integer);