Matlab Program to Create Integer Divisibility Function Assignment Solution.

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);