The origin(s) of multicellular life on Earth is a fascinating and widely debated topic. Your question asks whether the characteristics of cells that allow multicellular organisms to evolve are found in prokaryotes or eukaryotes. It turns out that multicellular forms consist of eukaryotic cells, although it is also thought that multicellularity arose through colonial prokaryotic intermediate forms. Multicellular life evolved at least five times, leading to the distinct multicellular lineages of the green algae-land plants, red algae, fungi, animals, and brown algae. The earliest fossil evidence of multicellular organisms places their origin at about 700 million years ago (http://www.bio.ilstu.edu/armstrong/syllabi/222book/Chapt%203.htm).
Multicellular forms of life have the following characteristics:
1) they reproduce sexually
2) they have tissues and organs made of specialized cells that perform various functions, such as digesting and circulating nutrients and oxygen and getting rid of wastes
There are a number of theories about why multicellularity evolved; I will attach a number of documents here for you so you can read up on this if you are interested. Prior to the origin of eukaryotes (~ 2 billion years ago), there were only prokaryotes around, having evolved ...