Is There a Simple Reason Why Prime Numbers Only Have One Group?

Is there a simple reason why the prime numbers only have one group or is it complicated? That's a good question. I guess So we know they have at least one at least one Because you can think about you know the regular polygon you can definitely rotate the group is always there Right. We do a little number theory And we get something like Lagrange's theorem that says Whatever the there's a be called the order of the element the number of times I have to multiply by itself to get to the identityThat has to divide the size of the group So if it's prime that is only There's only one option.