In this study, a large sample with a clustered data structure from an educational context was utilized to analyze the relationship between cognitive abilities, school type, gender, and divergent thinking. The sample comprised 1098 students in 55 classrooms. A sequence of nested multilevel regression analyses revealed that processing capacity, as a core component of intelligence, as well as processing speed shared a significant amount of variance with divergent thinking. Additionally, school type affected divergent thinking even when controlling for intellectual abilities. Furthermore, a significant gender difference in divergent thinking favouring females was found. Gender differences as well as the effect of processing capacity and processing speed varied across classrooms, reflecting differences in the classroom environment. The nature of the relationships of cognitive and social factors to divergent thinking was considered. (Contains 1 figure and 3 tables.)