Didn't see mentioned, but the 5x5, 3x5, 5x3 etc. does usually mean comes in cardboard like mentioned above, then all come in a larger cardboard box. The 5 packs (or 3 packs) can then be sold separatly at retail stores. Mostly we buy these online and makes sense for the vendors to sell the whole 25 at a time. Cardbaord does have more packaging, but cost less than any actual other cedar type boxes.
A box of 25 means usually dress box (thin wood/cedar wrapped in manufacturers paper with pretty labels) or box made completely of cedar either SLB (slide lid box) or varnished wood. Some will say A/T means the cigars individually packed inside aluminum tubes.
You might also see packaging as 898. Just means the cigars are in three layers of 8, then 9, then 8 for total of 25 vs two layers of 13 on top then 12on bottom. Sometimes 10 cigars are sold as 343 in three layers also.
As a newer person, this is how I know them to be. Just posting some thought for others that may be new also.