operational amplifier - Is the cut-off frequency for each high order butterworth filter the same or different?

From reading I see that I can calculate my cut-off frequency for a given Butterworth filter using the equations below. Let's say then that I have a 8th order filter, and I'm going to make it out of four stages. Do I calculate the cut-off frequency once using n = 8? Or do I calculate a different cut-off frequency for each stage i.e., n=2, n=4, n=6, n=8?

This is what I can't wrap my head around yet, are all my stages the same or does each one need slightly different gain and frequency settings to achieve my final response?