Natural Numbers Course
This Natural Numbers Mastery Course builds strong skills in number theory, covering prime factorization, gcd via Euclidean algorithm, induction, well-ordering, and infinity with bijections. It sharpens proof-writing and reasoning for advanced maths, using clear examples and a final project to ensure precise, organised arguments.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a solid foundation in natural numbers, mastering primes, unique factorization, divisibility, gcd, and Euclidean algorithm. Advance to order, well-ordering, induction, infinity, bijections, and cardinality, with worked examples. Develop precise proof techniques and writing skills for convincing arguments and a structured final project.
Elevify advantages
Develop skills
- Master prime factorization to factor integers quickly and use gcd and lcm effectively.
- Gain fluency in the Euclidean algorithm for computing gcds and linear combinations.
- Craft rigorous proofs using induction and well-ordering on natural numbers confidently.
- Compare infinite sets using bijections to understand infinity and cardinality.
- Write clear, precise proofs suitable for professional mathematicians.
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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