Natural Numbers Course
Enhance your number theory expertise through this rigorous Natural Numbers course, covering prime factorisation, GCD and Euclidean algorithm, induction, well-ordering, and infinity. Designed to refine proof skills, organise reasoning, and bolster advanced mathematical capabilities with practical examples and projects.

4 to 360 hours flexible workload
valid certificate 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 using clear examples. It also covers infinity, bijections, and cardinality, while honing proof techniques and writing skills for precise, organised arguments, computations, and a final project.
Elevify advantages
Develop skills
- Master prime factorisation to quickly factor integers and apply GCD and LCM practically.
- Gain fluency in the Euclidean algorithm for computing GCDs and linear combinations step by step.
- Develop skills in induction and well-ordering to construct confident, rigorous proofs on natural numbers.
- Understand infinity and cardinality by using bijections to compare infinite set sizes.
- Write clear, precise proofs suitable for professional mathematical communication.
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 workload.What our students say
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