Here's a breakdown of their classification:
* Kingdom: Animalia
* Phylum: Chordata
* Class: Mammalia
* Order: Rodentia
* Family: Chinchillidae
* Genus: Chinchilla
* Species: Two species:
* *Chinchilla lanigera* (Short-tailed chinchilla)
* *Chinchilla brevicaudata* (Long-tailed chinchilla)