Unparticle signals with a few particles

We use Pade approximants to systematically approximate scalar unparticle propagators and their associated phase factors by a finite number of ordinary particles. This is possible for conformal dimensions 1<d<2, and also for d>2 if we add local terms. A small number of particles can, in some cases, mimic unparticle signals. We also discuss how the approximants capture basic unparticle properties.