Here's a breakdown:
* Hamlet's motivation: He's driven by the need to avenge his father's murder, committed by his uncle Claudius, who then married his mother.
* The revenge: Hamlet plots and ultimately kills Claudius, fulfilling his desire for revenge.
While other characters like Laertes also seek revenge (for his father's death and his sister's dishonor), Hamlet's quest for revenge is the central driving force of the play.