If all black holes are made up of an infinitely small point with infinite density, why are there “big” black holes and “small” black holes?
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The black holes themselves are just points.
The distance to that point from which not even light can escape is different from hole to hole.
The radius around the point that we usually see as the black hole is the Schwarzschild-Radius.
The mass itself is concentrate in a mathematical point. When you cross the threshold you have in theory not yet reached the actual point that is the black hole, but you can’t go back either so for practical purposes you are ‘in’ the black hole.
The amount of mass that went into the hole determines the radius.
Since any amount of mass divided by zero volume of a point will mean infinite density, any amount of mass compressed enough can be a black hole.
There is no lower limit to how much mass you need to have a black hole. You can have a black hole that is just the mass of yourself, if your body was compressed to a single point.
Such a black hole would be tiny and short lived though.
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