Divisibility, Prime Numbers, and Prime Factorization

The video tutorial introduces the concept of divisibility, explaining how numbers can be divided evenly by certain other numbers. It then defines prime numbers as those with no factors other than 1 and themselves, providing examples and explaining why only odd numbers, except for 2, can be prime. The tutorial also covers prime factorization, demonstrating how to break down numbers into their prime components and explaining the fundamental theorem of arithmetic, which states that each number has a unique set of prime factors.

How do we know that there are infinitely many prime numbers?

Describe the process of prime factorization using the number 20 as an example.

What is the fundamental theorem of arithmetic?