Fundamental Theorem of Arithmetic

The video tutorial explores the concepts of prime and composite numbers, emphasizing the importance of prime factorization. It introduces the fundamental theorem of arithmetic, which states that every composite number can be uniquely expressed as a product of prime numbers. The tutorial also demonstrates how to calculate the highest common factor (HCF) and least common multiple (LCM) using prime factorization. Additionally, it discusses interesting facts and exceptions related to the theorem, such as its inapplicability to the number one.

What are prime numbers and how do they differ from composite numbers?

Explain the process of factorizing a composite number into its prime factors.

Can you provide examples of how to factorize the numbers 36 and 40 into their prime factors?

What does the fundamental theorem of arithmetic state?

Discuss the uniqueness of prime factorization and how the order of factors affects it.

How can you find the HCF and LCM of two natural numbers using their prime factorization?

Why does the fundamental theorem of arithmetic not apply to the number one?