Skip to content# Primes, Divisibility, and Modular Arithmetic

**Classifications**

Author(s): Joshua Zucker

Number theory is all about adding and multiplying integers: pretty simple stuff, good for elementary school or for PhD mathematicians. Dr. Arnold Ross says of number theory, that the purpose is “to think deeply of simple things.” So let’s do that together.
This session includes multiple problem sets beginning with prime numbers, continuing to divisibility and its rules, and concluding with Modulo (Modular Arithmetic).

Topics covered: Number Theory

Session styles: Problem Sets

Mathematical practices: MP1 – Make sense of problems and persevere in solving them., MP2 – Reason abstractly and quantitatively., MP3 – Construct viable arguments and critique others’ reasoning., MP4 – Model with mathematics., MP5 – Use appropriate tools strategically., MP6 – Attend to precision., MP7 – Look for and make use of structure., MP8 – Look for and express regularity in repeated reasoning.

Supporting materials: Facilitator Guides

Associated Math Circles: MTC Network