Natural Numbers Course
This Natural Numbers Course builds strong skills in number theory, covering prime factorization, gcd with the Euclidean algorithm, induction, well-ordering, and concepts of infinity and cardinality. It emphasizes precise proof techniques, organized reasoning, and clear writing to prepare you for advanced mathematics through worked examples and a final project.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a solid foundation in primes, unique factorization, divisibility, gcd, and the Euclidean algorithm. Advance to order, well-ordering, induction, infinity, bijections, and cardinality, with clear examples. Develop sharp proof-writing skills for precise, organized, and convincing mathematical arguments and projects.
Elevify advantages
Develop skills
- Master prime factorization to quickly factor integers and use gcd and lcm effectively.
- Gain fluency in the Euclidean algorithm for computing gcds and linear combinations step by step.
- Craft rigorous proofs on natural numbers using induction and well-ordering confidently.
- Compare sizes of infinite sets using bijections to understand infinity and cardinality.
- Write clear, precise proofs that are readable and suitable for math professionals.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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