The poles of a magnet are stronger due to the nature of the magnetic field, which is not a force but a field affecting magnetic dipoles. The field lines around a magnet are denser at the poles, indicating a stronger field and a greater force on dipoles placed there. This concentration of field lines results in a significant variation in field strength, causing dipoles to experience a greater force at the poles compared to other areas. Additionally, all dipoles experience torque that aligns them with the field, but only a non-uniform field produces a linear force that displaces them. Understanding these principles clarifies why the poles of a magnet exhibit greater strength.