A single spermatogonium can produce up to 256 sperm cells through the process of spermatogenesis. This process begins with the spermatogonium undergoing several rounds of mitotic and meiotic divisions. Initially, the spermatogonium divides by mitosis to produce primary spermatocytes. Each primary spermatocyte then undergoes meiosis, leading to the formation of secondary spermatocytes, and eventually, these develop into spermatids. Each spermatid matures into a sperm cell, resulting in a total of four sperm cells being produced from each primary spermatocyte. Since each spermatogonium can divide into multiple primary spermatocytes, the final count can reach up to 256 sperm, depending on the number of divisions that occur during the process.