** Theme 6: Factors and Multiples in Class 4 Math**

** Introduction:**

Factors and multiples are essential concepts in number theory, providing insights into the relationships between numbers. In Class 4, students explore these concepts, understanding the fundamental principles and their practical applications.

**Factors:**

– Definition: Understanding that factors are numbers that divide another number exactly.

– Prime and Composite Numbers: Differentiating between prime numbers (having only two factors) and composite numbers (having more than two factors).

**Finding Factors:**

– Listing Factors: Learning to find all the factors of a given number.

– Multiplication Connection: Understanding that factors multiply to give the original number.

**Multiples:**

– Definition: Recognizing that multiples are the result of multiplying a number by another integer.

– Common Multiples: Identifying multiples that are common to two or more numbers.

**Finding Multiples:**

– Listing Multiples: Learning to find multiples of a given number.

– Skip Counting: Recognizing that multiples can be found through skip counting.

**Prime Factorization:**

– Breaking Down Numbers: Expressing a composite number as the product of its prime factors.

– Factor Trees: Using factor trees to visually represent prime factorization.

**Greatest Common Factor (GCF):**

– Definition: Understanding that the GCF is the largest factor shared by two or more numbers.

– Finding the GCF: Learning methods to find the greatest common factor.

**Least Common Multiple (LCM):**

– Definition: Recognizing that the LCM is the smallest multiple shared by two or more numbers.

– Finding the LCM: Exploring methods to find the least common multiple.

**Multiples and Divisibility Rules:**

– Divisibility Rules: Understanding rules for determining if a number is divisible by another.

– Identifying Multiples: Applying divisibility rules to find multiples.

**Practical Applications:**

– Problem-Solving: Solving real-world problems using factors and multiples.

– Applications in Daily Life: Recognizing the practical significance of these concepts.

**Patterns and Relationships:**

– Patterns in Factors and Multiples: Identifying patterns in the factors and multiples of numbers.

– Relationships between Factors and Multiples: Understanding the interplay between factors and multiples.

** Conclusion:**

Factors and multiples provide a deeper understanding of the relationships between numbers. In Class 4, students explore these concepts through finding factors and multiples, understanding prime factorization, and applying these ideas to solve real-world problems. This lays a strong foundation for more advanced mathematical concepts in the future.