Natural Numbers Course
Enhance your number theory expertise through this rigorous Natural Numbers Course, covering prime factorisation, GCD, the Euclidean algorithm, induction, well-ordering, and infinity. It is designed to refine proof techniques, organise reasoning, and bolster advanced mathematical proficiency with clear examples and practical exercises.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Natural Numbers Course provides a firm, effective understanding of primes, unique factorisation, divisibility, GCD, and the Euclidean algorithm, progressing to order, well-ordering, and induction via clear, detailed examples. It further examines infinity, bijections, and cardinality, whilst honing proof methods and writing abilities to ensure precise, structured, and persuasive arguments, computations, and final projects.
Elevify advantages
Develop skills
- Master prime factorisation: factor integers swiftly and apply GCD and LCM practically.
- Gain fluency in the Euclidean algorithm: compute GCDs and linear combinations step by step.
- Master induction and well-ordering: construct rigorous proofs on natural numbers confidently.
- Explore infinity and cardinality: employ bijections to compare infinite set sizes.
- Develop clear proof writing: deliver precise, readable arguments for mathematicians.
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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