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Natural Numbers Course

Natural Numbers Course
from 4 to 360h 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, progressing to order, well-ordering, and induction through clear examples. It further covers infinity, bijections, and cardinality, while honing proof techniques and writing for precise, organised arguments, computations, 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.
  • Prove statements on natural numbers confidently using induction and well-ordering.
  • Compare infinite sets by cardinality using bijections.
  • Write clear, precise proofs suitable for professional 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.
Workload: between 4 and 360 hours

What our students say

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