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MODULE 1 - Foundations: Factors, Divisors & Prime Numbers

Lesson 1.1 - Factors and Divisors

Lesson 1.2 - Prime Numbers

Lesson 1.3 - The Sieve of Eratosthenes

MODULE 2 - Prime Factor Decomposition

Lesson 2.1 - Every Number Can Be Written as Prime Factors

Lesson 2.2 - How to Find Prime Factors

MODULE 3 - Divisibility Rules

Lesson 3.1 - Divisibility by 2, 3, 5, 10

Lesson 3.2 - Divisibility by 9, 11, 25, 50, 100

MODULE 4 - LCM & HCF Using Prime Numbers

Lesson 4.1 - Highest Common Factor (HCF)

Lesson 4.2 - Lowest Common Multiple (LCM)

Lesson 4.3 - Worded Problem: Goodie Bags

Lesson 4.4 - Worded Problem: The Three Runners

MODULE 5 - Mastery & Application

Lesson 5.1 - Mixed Practice: Primes, Factors, Divisibility

Lesson 5.2 - Mixed Practice: LCM & HCF

MODULE 6 - Bonus (Optional)

Lesson 6.2 - Prime Patterns & Curiosities

Quiz

Foundations: Factors and Divisors Quiz

Prime Factor Decomposition Quiz

Divisibility Rules Quiz

LCM and HCF Quiz

Lesson 5.3 - Final Challenge Quiz

Survey/Feedback

Course Experience Survey

Unlock the secrets of numbers with our comprehensive course, 'Foundational Methods for Prime Numbers, Factors, and Divisors. ' Whether you are a student looking to strengthen your mathematical foundation, a teacher seeking effective instructional strategies, or a math enthusiast eager to explore the building blocks of arithmetic, this course is designed for you.

Unlock the secrets of numbers with our comprehensive course, 'Foundational Methods for Prime Numbers, Factors, and Divisors.' Whether you are a student looking to strengthen your mathematical foundation, a teacher seeking effective instructional strategies, or a math enthusiast eager to explore the building blocks of arithmetic, this course is designed for you. Dive deep into the fascinating world of prime numbers, factors, and divisors through a structured, easy-to-follow curriculum. You will start with the absolute basics, learning how to identify factors and divisors, and mastering the Sieve of Eratosthenes to find prime numbers. As you progress, you will uncover the power of prime factor decomposition using factor trees and discover time-saving divisibility rules for numbers ranging from 2 to 100. The course also bridges theory and practical application by teaching you how to calculate the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) using prime factors, complete with real-world worded problems like 'The Three Runners.' Finally, test your skills with mixed practice modules and explore a bonus section on the role of prime numbers in modern cryptography and historical curiosities. Enroll today to build a rock-solid mathematical foundation and solve complex problems with confidence and ease!

Foundational Methods for Prime Numbers, Factors, and Divisors

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            <p>Mathematics is built upon fundamental building blocks, and among the most crucial of these are prime numbers, factors, and divisors. This course provides a comprehensive journey into the mechanics of whole numbers, starting from the ground up. Learners will establish a strong mathematical foundation by exploring core definitions and utilizing historical methods like the Sieve of Eratosthenes to identify primes. The curriculum is carefully structured to demystify how numbers interact, teaching students how to break them down into their purest prime components through prime factor decomposition and the strategic use of factor trees.</p>

<p>Beyond basic definitions, the material delves deeply into practical tools and real-world applications. Participants will master a comprehensive set of divisibility rules—ranging from everyday numbers like 2, 3, and 5 to more advanced figures like 11 and 100—enabling rapid mental math and efficient problem-solving. These techniques directly translate into calculating the Highest Common Factor (HCF) and Lowest Common Multiple (LCM), which are then applied to engaging worded scenarios such as "The Three Runners." Through extensive mixed practice modules, quizzes, and a fascinating bonus section exploring prime patterns and modern cryptography, students will not only achieve mastery over these foundational methods but also discover the hidden, real-world power of prime numbers.</p>
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