Despite the fundamental role of centromeres two different types are observed across plants and animals. Monocentric chromosomes possess a single region that function as the centromere while in holocentric chromosomes centromere activity is spread across the entire chromosome. Proper segregation may fail in species with monocentric chromosomes after a fusion or fission, which may lead to chromosomes with no centromere or multiple centromeres. In contrast, species with holocentric chromosomes should still be able to safely segregate chromosomes after fusion or fission. This along with the observation of high chromosome number in some holocentric clades has led to the hypothesis that holocentricity leads to higher rates of chromosome number evolution. To test for differences in rates of chromosome number evolution between these systems, we analyzed data from 4,393 species of insects in a phylogenetic framework. We found that insect orders exhibit striking differences in rates of fissions, fusions, and polyploidy. However, across all insects we found no evidence that holocentric clades have higher rates of fissions, fusions, or polyploidy than monocentric clades. Our results suggest that holocentricity alone does not lead to higher rates of chromosome number changes. Instead, we suggest that other co-evolving traits must explain striking differences between clades. One of the most basic features of the genome is its division into chromosomes. When we look across clades, we find a striking pattern where almost all species in some groups exhibit the same number of chromosomes, while in other groups, there is great variation in chromosome number even between closely related species. One possible explanation for these differences is the type of centromeres that a clade possesses. Monocentric chromosomes must have a single region that functions as the centromere, while in holocentric chromosomes, centromere activity is present across the entire chromosome. For this reason, it has been hypothesized that holocentric species should tolerate structural changes in chromosomes (fusions, fission, etc.) better than monocentric species. To test this hypothesis, we estimated the rate of fusion, fission, and polyploidy using data from 4,393 species of insects spanning 22 orders. We found that insect orders exhibit striking differences in rates of chromosome evolution. However, across all insects, we found no evidence that holocentric orders have higher rates of fissions, fusions, or polyploidy than monocentric orders. Our results suggest that holocentricity alone does not lead to higher rates of chromosome number changes.