A multiple piece torch tip and a method of making a multiple piece torch tip. The multiple piece torch tip comprises an inner piece disposed interchangeably within an outer piece. The inner surface of the outer piece has a plurality of regularly spaced slots which decrease in size radially outward and which combine with the smooth exterior of the inner piece to form preheat orifices. The method of making the multiple piece torch tip comprises a swaging step which in one step forms the outer piece. In the swaging step a tubular blank is swaged about a ribbed mandrel. The mandrel presents a monotonically decreasing radial cross-sectional area with respect to the blank for facilitating removal of the swaged outer piece without damage thereto. Also provided is a step of forming an inner piece of a size such that the inner surface of the outer piece and the outer surface of the inner piece combine to form preheat orifice configurations.