Natural Numbers Course
Strengthen your grasp of number theory through this comprehensive Natural Numbers course. Master prime factorisation, GCD via the Euclidean algorithm, induction, well-ordering principles, and concepts of infinity with bijections and cardinality. Designed to refine proof techniques, organise reasoning, and prepare you for advanced maths challenges with confidence and clarity.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course builds a strong foundation in primes, unique factorisation, divisibility, GCD, and the Euclidean algorithm. It then advances to order, well-ordering, and induction with practical examples. You'll also cover infinity, bijections, and cardinality, while honing proof-writing skills for clear, precise arguments and a solid final project.
Elevify advantages
Develop skills
- Master prime factorisation: break down integers quickly and use GCD, LCM effectively.
- Gain fluency in Euclidean algorithm: calculate GCDs and linear combinations accurately.
- Prove by induction and well-ordering: construct solid proofs on natural numbers confidently.
- Handle infinity and cardinality: compare infinite sets using bijections.
- Write clear proofs: deliver precise, professional arguments that convince.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workloadWhat our students say
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