Division and Divisibility
Learning Time: 4-12 hours
Content: Division and divisibility is a subject that examines the relationships between numbers that result in exact division. The 2025 curriculum covers the remainder when one number is divided by another (modular arithmetic), integer divisors, and prime factorization. The TYT focuses on basic rules, while the AYT focuses on modular arithmetic and its applications.
- Basic Concepts:
- Definition of Division and Remainder
- Integer Divisors and Multiples
- Divisibility Rules (for 2, 3, 5, 9)
- Prime Factorization:
- Beginner’s Method (Tree Diagram)
- Relationship with the Greatest Common Divisor (GCD)
- Practical Examples
- Advanced Calculus (ADC):
- Modular Arithmetic (a ≡ b (mod m))
- Divisibility Theorems
- Complex Problems
- Applications:
- Number Analysis
- Cryptography Fundamentals
- Examples from Daily Life
- Affecting Factors:
- Number Dimension
- Number of Divisors
- Remainder Value
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Intermediate
- Language English
- Students 15
- Assessments Yes
