Which of the following may cause a judge to divest their financial interests?

Divesting financial interests is often prompted when a judge's impartiality is brought into question. Frequent disqualification related to those interests indicates that the judge's financial holdings have led to their being removed from cases, suggesting a conflict of interest that undermines public confidence in their ability to render fair decisions. In this scenario, disqualification serves as a clear signal that the judge's financial interests are inappropriate in light of their judicial responsibilities, necessitating divestment to uphold the integrity of the judiciary.

While other factors like public scrutiny or changes in public opinion may influence a judge's decisions or perception of their role, they are not as directly tied to the obligation to maintain impartiality as the occurrence of frequent disqualifications. The frequent need for disqualification indicates a systemic problem with the relationship between the judge’s financial interests and their judicial duties, making this the most compelling reason for the judge to divest those interests.