Natural Numbers Course
Build essential number theory expertise in this Natural Numbers course, covering prime factorisation, gcd via Euclidean algorithm, induction, well-ordering principles, and concepts of infinity with bijections and cardinality. Designed to refine proof techniques, organise reasoning, and prepare for advanced maths challenges with precision and clarity.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a strong foundation in primes, unique factorisation, divisibility, gcd, and the Euclidean algorithm, then advances to order, well-ordering, and induction with practical examples. It further covers infinity, bijections, and cardinality, while enhancing proof-writing skills for clear, structured mathematical arguments and projects.
Elevify advantages
Develop skills
- Master prime factorisation to quickly factor integers and use gcd, lcm effectively.
- Gain fluency in Euclidean algorithm for computing gcds and linear combinations.
- Develop skills in induction and well-ordering to prove statements on natural numbers confidently.
- Understand infinity and cardinality by applying bijections to infinite sets.
- Write clear, precise proofs suitable for professional mathematical communication.
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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