Asexual spores
In the Zygomycota, asexual spores may be delimited within a sac-like structure, a sporangium (plural -- sporangia), in which case they are called sporangiospores, borne on a sporangiophore.
in the Ascomycota, spores may be borne at the tips or sides of hyphae, and are called conidia (sing. -- conidium), borne on a conidiophore.
Notes:
Comparison of the anamorphs of Zygomycota and Ascomycota. The great majority of Basidiomycota do not produce asexual spores, and members of the Chytridiomycota produce swimming spores (zoospores) in zoosporangia