Correct option: one strand of the original dna ends up in each of the new dna molecules.
Explanation: When DNA replicates, the original DNA unwinds and both the unwinded strands act as a template to make new strand. This way, the new DNA has one original copy and one new copy of DNA. That's why we call it "Semi-conservative mode of Replication". Also transcription factors have no role in DNA replication. There are separate molecules which initiate DNA replication.