Final answer:
The Sumerians used the base 60 number system primarily for astronomical calculations, which aided the creation of their calendar system essential for agricultural activities.
Step-by-step explanation:
The Sumerians utilized their base 60 number system predominantly for astronomical purposes. This mathematical system facilitated the tracking and mapping of the stars, which was integral in creating accurate calculations for their calendar system. By understanding the cycles of celestial bodies, they could determine the changing of seasons which was crucial for agriculture. This calendar aided them in deciding when to sow, prepare for the rainy season, and harvest crops. Additionally, the Sumerian base 60 system was fundamental in their development of arithmetic and geometric understanding, including the division of a circle into 360 degrees.