Every finite field has prime-power order $p^n$ and is isomorphic to $\FF_{p^n}$.Suggest a slogan
Let \(F\) be a finite field. Then \(\ch F = p\) for a prime \(p\), the prime subfield of \(F\) is isomorphic to \(\FF_p\), and \(F \cong \FF_{p^n}\) for the unique integer \(n = [F:\FF_p] \geq 1\), so that \(\abs{F} = p^n\).