Photons, despite having no rest mass, possess momentum due to their energy and frequency. The momentum of a photon can be expressed using the equation p = hν/c or p = h/λ, where h is Planck's constant, ν is frequency, and λ is wavelength. For massless particles like photons, momentum is not derived from mass and velocity but rather from their energy, which can be related to mass through E = mc². This understanding clarifies how photons can exhibit momentum without having mass. The discussion emphasizes the distinction between classical momentum and the behavior of massless particles in physics.