To build on that a bit: if a neutron had a positive side and a negative side, this would be called it's electric dipole moment. This has been measured to be zero to exquisite precision - it's one of the best known numbers in subatomic physics. However, the inside of a neutron is measurably more positive than the outside.
Now we can ask ourselves what would happen if we scattered a variable energy beam of electrons at a pile of neutrons. First, at very low energies, they would interact magnetically with the whole neutron. As the energy increases, they would start to interact electrically with the negative halo and the positive core. As the energy increases further, they would start to interact with the constituent quarks (the quarks and, in a sense, their "nearby" gluons) and finally at the very highest energies they would interact with the bare current quarks.