Foundations of Number Theory and Playing with Numbers

Developing a strong foundation in mathematics starts with understanding how numbers interact, combine, and break down. This course offers a clear, step-by-step path to mastering the core principles of number theory, helping you build mathematical confidence from the ground up. You will transition from basic counting to analyzing complex number relationships with ease. What you'll learn: - Understand foundational mathematical terminology and the properties of numbers - Identify and calculate factors and multiples of any given number - Apply divisibility rules to quickly analyze large numbers without complex division - Distinguish between prime, composite, co-prime, and perfect numbers - Determine the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) using prime factorization - Solve practical word problems by applying fundamental number theory principles This text-based course begins with essential definitions and core terminology before guiding you through structured lessons on factorization, prime numbers, and divisibility. You will progress from simple calculations to more advanced problem-solving techniques, reinforcing your learning with written exercises at every step. This course is designed for beginners, school students looking to reinforce their mathematical foundation, or adult learners wanting to refresh their basic math skills. No prior advanced mathematical knowledge is required.