How do you determine which numbers in a vector are factors of 144 by indexing through it using loops?

I have a vector of random integer from 1 to 100 with the amount of elements that a user inputs. All operations must be performed using loops, not built-in functions or array operations.

clc
clear

elements = input('Enter how many elements are in the vector: ');
rng('shuffle')
vector = randi([1,100],1,elements)

How do I determine how many numbers in the vector are factors of 144 and what those number are?

Answer 1

[Walter Roberson]

http://www.mathworks.com/matlabcentral/answers/38787-what-can-be-programmed-without-any-built-in-functions

Answer 2

[Marc Jakobi]

tf = false(size(vector));
for i = 1:length(vector)
   if mod(144,vector(i)) == 0
      tf(i) = true;
   end
end
factors = vector(tf);

Or instead of mod(), you could do

if 144./double(vector(i)) == round(144./double(vector(i)))