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Natural Numbers Course

Natural Numbers Course
flexible workload from 4 to 360h
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. It then advances to order, well-ordering, and induction using clear examples. You will also cover infinity, bijections, and cardinality, while honing proof techniques and writing skills for precise, organised arguments, computations, and projects.

Elevify advantages

Develop skills

  • Master prime factorisation: quickly factor integers and use GCD, LCM practically.
  • Gain fluency in Euclidean algorithm: calculate GCDs and linear combinations step-by-step.
  • Excel in induction and well-ordering: construct confident, rigorous proofs on natural numbers.
  • Understand infinity and cardinality: apply bijections to measure infinite set sizes.
  • Develop clear proof writing: deliver precise, readable arguments for maths experts.

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.
Workload: between 4 and 360 hours

What our students say

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Very great course. Lots of valuable information.
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