Natural Numbers Course
This Natural Numbers Mastery Course builds strong skills in number theory, covering prime factorization, gcd via Euclidean algorithm, induction, well-ordering, and infinity with bijections. It sharpens proof-writing and reasoning for advanced maths, using clear examples and a final project to ensure precise, organised arguments.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a solid foundation in natural numbers, mastering primes, unique factorization, divisibility, gcd, and Euclidean algorithm. Advance to order, well-ordering, induction, infinity, bijections, and cardinality, with worked examples. Develop precise proof techniques and writing skills for convincing arguments and a structured final project.
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 confidently.
- Compare infinite sets using bijections to understand infinity and cardinality.
- Write clear, precise proofs suitable for professional mathematicians.
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.What our students say
Your classes are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to switch platforms... I thank you for everything you do, I've already recommended you to other people...

Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can switch chapters and skip content I don't need.

Mariana FerresPhotography Student
I like the content and the way videos are presented and transcribed, which speeds up the process!

Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos really help with learning.

André FelipePrompt Engineering Student
FAQ
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course