I am able to extract list of prime numbers but when list has negative numbers, or 0 or 1 the condition doesn't work. Please help me fix the bug in this code. Detailed step by step explaination for putting the condition is encouraged . Thank you
clear 
clc
%Matlab program to give prime numbers in a given interval Ignoring 0, 1  and negative numbers if in the input range
start = input('Enter a starting number range:');
end_point = input('enter an ending number:');
list = start:end_point;  % Create a list having the range
prime = []; % initiate empty prime vector, prime numbers will be added to this list
for i = (1:length(list))
    fac = 0; % calculates the number of factors
    if list(i) <= 1 %Checks whether the number is less than or equal to 1
            fac = fac+1 % Assigns factor 1 and hence the algorithm ignores them from prime list 
            break
    for j = 2:list(i)/2
            if list(i) <= 1 %Checks whether the number is less than or equal to 1
                fac = fac+1 % Assigns factor 1 and hence the algorithm ignores them from prime list 
                break
%         if j == [] 
%             fac = fac + 1
%             break
        elseif mod(list(i),j) == 0 % checks whether a number is prime or not from the list
            fac = fac+1;
        else 
            fac = fac+0;
        end
    end
    if fac <1  % No factors between 2 and number\_checked/2 hence puts it in prime list 
        prime = [prime,list(i)];
    else 
        continue
    end
    end