Finding integers of factorial between two user-input values

Hi all, I'm really frustrated by this problem. I'm supposed to find all integers which n! is between i and j, and I can't use the factorial function in Matlab. My script can only have one loop.

I can't seem to understand this at all.

i = input('Input value for i:');
j = input('Input value for j:');
fact=1;
n=0;
    for n=1:n
     fact=fact*n;
     n=n+1;
     if i<fact && j>fact
       fprintf('Smallest n where n! is between %d and %d is %d\n',i,j,n)
     end
    end

What am I doing wrong and how do I fix this?

Answer 1

[Walter Roberson]

Your code

    n=0;
    for n=1:n

is equivalent to

   for n=1:0

which is going to end immediately.

You are going to need to switch to a "while" loop, and the condition to exit the while is that your factorial has become larger than j.