What Are Prime Numbers and Composite Numbers?

TL;DR

Prime numbers are whole numbers greater than 1 that are only divisible by 1 and themselves, while composite numbers have more than two factors, including 1 and the number itself. To determine if a number is prime or composite, evaluate its factors: if it has exactly two factors, it's prime; if it has more, it's composite.

Transcript

in this video i'm going to talk about prime and composite numbers so what exactly is a prime number and what is a composite number prime and composite numbers they're both whole numbers greater than 1. examples of prime numbers would be 2 3 5 7 11 and so forth example of composite numbers would be four six eight and nine now why is that the case wh... Read More

Key Insights

• #️⃣ Prime numbers are only divisible by 1 and themselves, while composite numbers have additional factors.
• #️⃣ The factors of a number are the whole numbers that can be multiplied together to get that number.
• #️⃣ A prime number can only be expressed as a product of itself and 1, while a composite number has multiple ways to be expressed as a product of two or more whole numbers.
• #️⃣ The numbers 33 and 39 are composite numbers, while 23 and 37 are prime numbers.

Questions & Answers

Q: What is the difference between a prime number and a composite number?

A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself. A composite number, on the other hand, has more than two factors, including 1 and itself.

Q: How can we determine if a number is prime or composite?

To determine if a number is prime or composite, we can find its factors. If the number has factors other than 1 and itself, it is a composite number. If it only has factors 1 and itself, it is a prime number.

Q: Can you provide examples of prime numbers?

Some examples of prime numbers are 2, 3, 5, 7, and 11. These numbers can only be divided evenly by 1 and themselves.

Q: How about examples of composite numbers?

Examples of composite numbers include 4, 6, 8, and 9. These numbers have factors other than 1 and themselves, such as 2 and 2 for 4, and 3 and 3 for 9.

Summary & Key Takeaways

• Prime numbers are whole numbers greater than 1 that can only be divided evenly by 1 and themselves.

• Composite numbers are whole numbers greater than 1 that have more than two factors, including 1 and themselves.

• To determine whether a number is prime or composite, we can find its factors and see if there are more than two factors other than 1 and the number itself.