I spent 8 years while in high school and college in the field working with masonry and laying block, so let me see if I can help with this at all.
Mortar is a cementitious product, different from portland cement, that is mixed with water and sand. It's compressive strength as MikeE55 stated is specified by its letter designation. It is not grout. Grout is basically concrete with small aggregate, typically 3/8" maximum, and also contains some sand, and of course portland cement. That is one of the big differences between grout and mortar, besides compressive strength. The portland cement is much stronger, but also much less workable than the lime cement which is used for mortar.
The only time that I know of when mortar, not grout, is used to grout filled cells is when using some types of reinforced brick. For example, here in Orlando many fences are built using 6" or 8" Norweigian brick which have hollow cells and receive reinforcing. In this case the cells are grouted with mortar.