The type of asexual reproduction done by prokaryotic cells is termed as thebinary fission. Binary fission is a reproduction process wherein one cell divides asexually into two cells forming two daughter cells. into In binary fission, the chromosome is being replicated in which the resultant prokaryote is exactly the same copy of the parental prokaryote which means to say that there is no chance for genetic diversity. However, prokaryotes can still share or even exchange genes through the mechanisms of transformation, transduction and conjugation.