The part of the cytoskeleton that pulls chromosomes apart during cell division is called the spindle fibers.

Here's a breakdown:

* Cytoskeleton: A network of protein filaments that provides structure and support to cells.

* Spindle Fibers: These are made of microtubules, a type of protein filament in the cytoskeleton. They form a structure that extends from the poles of the cell to the chromosomes.

* Pulling Chromosomes Apart: During cell division (specifically, mitosis and meiosis), spindle fibers attach to the chromosomes at a specialized region called the kinetochore. The fibers then shorten, pulling the chromosomes apart to opposite poles of the cell, ensuring that each daughter cell receives a complete set of chromosomes.

So, while the cytoskeleton plays a vital role in cell structure, it's the specialized spindle fibers that specifically pull chromosomes apart during cell division.