What property of a magnet determines which side of it is N or S?

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SUMMARY

The property that determines which side of a magnet is North and which is South is the alignment of magnetic domains within the material. When a magnet is cut in half, each half retains both a North and a South pole due to the presence of numerous tiny magnets, or magnetic domains, that align in a specific direction. This inherent characteristic of magnets prevents the creation of a true magnetic monopole, as each segment will always exhibit both poles. Theoretical isolation of a magnetic monopole would have significant implications, although it remains a concept rather than a practical reality.

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What property of the magnet determines which side of it is North and which side is South?

I know that we are unable to separate the poles of a magnet (ie cut a magnet in halves and we get two magnets). How come?
 
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A magnet bar consists of numerous tiny magnets (perhalf molecular scale), so you can not separate it into 2 one-pole magnets.
The poles of a magnet allign with the poles of all the tiny magnets.
 
Let's just say that if you ever manage to isolate a magnetic monopole, you will own the planet... until Disney buys you out.
 

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