Bilangan Prima dan Bilangan Komposit

Summary

In this educational video, the concept of prime numbers is introduced. A prime number is a positive integer greater than one with exactly two divisors: 1 and itself. Examples such as 2, 3, 5, 7, and 11 are used to explain this. The video also explains composite numbers, which are numbers greater than one that aren't prime, like 4, 6, 9, and 33. The goal is to distinguish between prime and composite numbers, with the promise of exploring related lemmas and theorems in future videos.

Takeaways

• 😀 Prime numbers are integers greater than one that have exactly two positive divisors: 1 and the number itself.
• 😀 The number 2 is the smallest prime number because it is only divisible by 1 and 2.
• 😀 The number 3 is a prime number because it can only be divided by 1 and 3.
• 😀 Other examples of prime numbers include 5, 7, 11, and so on.
• 😀 A composite number is a number greater than 1 that is not prime, meaning it has more than two divisors.
• 😀 Numbers like 4, 6, 8, and 9 are examples of composite numbers because they have more than two divisors.
• 😀 The number 9 is a composite number because it is divisible by 1, 3, and 9.
• 😀 33 is a composite number because it can be factored into 3 and 11.
• 😀 Prime numbers only have two divisors, while composite numbers have multiple divisors.
• 😀 In future videos, the topic will expand to include lemmas and theorems related to prime numbers.

Q & A

What is a prime number?

A prime number is a whole number greater than 1 that has exactly two positive divisors: 1 and itself.

Can you give some examples of prime numbers?

Examples of prime numbers include 2, 3, 5, 7, and 11.

Why is 2 considered a prime number?

2 is considered a prime number because it has exactly two divisors: 1 and 2.

What is a composite number?

A composite number is a whole number greater than 1 that has more than two positive divisors.

Can you give some examples of composite numbers?

Examples of composite numbers include 4, 6, 8, 9, and 33.

Why is 9 not a prime number?

9 is not a prime number because it has three divisors: 1, 3, and 9.

What does it mean when a number only has two divisors?

It means that the number is a prime number, as it can only be divided evenly by 1 and itself.

Why is 33 considered a composite number?

33 is considered a composite number because it can be divided by 1, 3, 11, and 33, meaning it has more than two divisors.

What are some key differences between prime and composite numbers?

Prime numbers have only two divisors (1 and itself), while composite numbers have more than two divisors.

What will be covered in the next video related to prime numbers?

In the next video, the focus will be on learning about lemmas and theorems related to prime numbers.