Natural Numbers Course
Build solid number theory expertise in this Natural Numbers Mastery Course. Master prime factorisation, GCD via Euclidean algorithm, induction, well-ordering principles, and concepts of infinity and cardinality. Sharpen proof-writing skills to structure reasoning effectively for advanced mathematics, ensuring your work is precise, convincing, and professional throughout.

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.What our students say
Your lessons are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to change 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 change 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 help a lot 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