A magnet’s poles are the surfaces from which lines of magnetism leave a magnet and reconnect on return to the magnet. The pole of a magnet is the area which has the greatest magnetic field strength in a given direction. Each pole is either north facing or south facing.

If you break a magnet into two pieces, each piece will still have a north pole and a south pole, no matter how small the piece of magnet is, it will always have a north pole and a south pole. Despite some claims on the internet, there is no such thing as a monopole magnet.