a nuclear chain reaction
Fission is useful in bulk only because it feeds itself. Each fission of a heavy nucleus not only releases energy but also throws out two or three free neutrons, and those neutrons can strike other fissile nuclei and split them in turn, each of which releases more neutrons. A self-propagating cascade like this is a nuclear chain reaction, the multiplying process at the heart of every reactor and fission weapon.
Whether the cascade grows, holds steady, or dies is captured by the multiplication factor k, the average number of new fissions caused by the neutrons from one fission. If k = 1 the reaction is critical and self-sustaining at constant power (a running reactor); if k > 1 it is supercritical and the rate grows exponentially (weapon, or a reactor increasing power); if k < 1 it is subcritical and fades away. Achieving k >= 1 requires enough fissile material arranged so that too few neutrons leak out or are wastefully absorbed: hence a critical mass, and in reactors a moderator to slow neutrons to fission-friendly thermal energies, plus fuel of sufficient enrichment.
The reason reactors are controllable at all is a subtle gift of nuclear physics: a small fraction (under one percent) of fission neutrons are delayed neutrons, emitted seconds later by the beta-decay of certain fission fragments rather than promptly. Reactors are run so that they are subcritical on prompt neutrons alone and reach criticality only counting the delayed ones, which stretches the response time from microseconds to seconds and makes mechanical control rods able to keep up. Without delayed neutrons, controlled fission power would be effectively impossible.
A power reactor is deliberately held at k = 1.000, exactly replacing each generation of neutrons. Operators nudge k slightly above or below one with control rods, relying on the seconds-long delay from delayed neutrons to raise or lower the power smoothly.
Reactor safety hinges on the tiny delayed-neutron fraction, not on the prompt chain alone.
The multiplication factor k governs everything, but stable control is possible only thanks to the small delayed-neutron fraction. On prompt neutrons alone the timescale is microseconds, far too fast to regulate mechanically.