Cockroaches can live without food for 2.5 months and without a head for 2 weeks.

The claim about cockroaches surviving without food for 2.5 months is partially supported. American cockroaches can survive for approximately 2-3 months without food, but this does not apply to all types of cockroaches, such as German cockroaches which last around a month. Thus, the claim can be considered mostly accurate but contextually limited to specific species. The claim about cockroaches living without a head for 2 weeks is generally accurate based on biological explanations of their survival mechanisms despite decapitation, including independent nerve ganglia and not requiring a brain for breathing. However, typical evidence indicates survival is usually around one week, primarily due to dehydration. Both claims have substantial support but require species-specific clarifications for accuracy.