What factor entirely determines the final state of a collapsed stellar core after a supernova?

Answer

How much material was left behind after the explosion

The final remnant, whether a neutron star or a black hole, is determined solely by the mass of the dense core that survives the supernova explosion.

What factor entirely determines the final state of a collapsed stellar core after a supernova?
starsupernovaneutron starblack holeremnant