Thanks for the question.
While I can't help you in actually finding a job as a factory worker, I do recommend you go to our visa page and work permit page for South Korea.
I understand that the 60 day visa-exempt rule still applies to Basotho but you will need to apply for a visa to extend that period. Do you have any qualifications or work experience?
I am not sure a visa can be granted even if you do manage to find a job as a factory worker because the visas and requirements are very specific. They can be found on the aforementioned pages.
Sorry I can't be of more help.