# 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);```