# Matlab Program to Create Integer Divisibility Function Assignment Solution

June 21, 2024
🇺🇸 United States
Programming
Dr. Madison Davidson, an accomplished programming expert, earned her Ph.D. from the University of York, United Kingdom. With 15 years of experience, she excels in solving intricate programming assignments with finesse and expertise.
Key Topics
• Instructions
• Objective
• Requirements and Specifications
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## 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); ```

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