Natural Numbers Course
This Natural Numbers Course builds strong skills in number theory, covering prime factorization, gcd via Euclidean algorithm, induction, well-ordering, and infinity. It sharpens proof techniques and reasoning for advanced math, with clear examples and a final project to ensure precise, organized work.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a solid foundation in primes, factorization, divisibility, gcd, Euclidean algorithm, order, well-ordering, induction, infinity, bijections, and cardinality, with worked examples and practice in precise proof writing for convincing arguments.
Elevify advantages
Develop skills
- Master prime factorization to factor integers quickly and use gcd and lcm effectively.
- Gain fluency in the Euclidean algorithm for computing gcds and linear combinations.
- Craft rigorous proofs using induction and well-ordering on natural numbers.
- Compare infinite sets using bijections and understand cardinality.
- Write clear, precise proofs suitable for math professionals.
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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