Exploring the Sieve of Eratosthenes for Prime Numbers

The video tutorial explains the Sieve of Eratosthenes, an ancient Greek method for finding prime numbers. It begins by introducing the concept and then demonstrates the process of identifying prime numbers by crossing out multiples of each number starting from 2. The tutorial explains why certain numbers are not prime and provides a list of prime numbers up to 100. The method is presented as a reliable way to identify prime numbers, emphasizing the importance of understanding factors and multiples.

Who created the Sieve of Eratosthenes?

• Pythagoras

• Eratosthenes

• Archimedes

• Euclid

Why is the number 1 not considered a prime number?

• It is a perfect square

• It is an even number

• It is divisible by more than two numbers

• It is not greater than one

What is the only even prime number?

• 2

• 8

• 6

• 4

What pattern do the multiples of 2 follow?

• They all end in 1, 3, 5, 7, or 9

• They all end in 2, 4, 6, 8, or 0

• They all end in 3, 6, 9

• They all end in 5 or 0

Which of the following numbers is a prime number?

• 9

• 4

• 5

• 6

What pattern do the multiples of 5 follow?

• They all end in 1, 3, 5, 7, or 9

• They all end in 3, 6, 9

• They all end in 5 or 0

• They all end in 2, 4, 6, 8, or 0

Why is 6 not a prime number?

• It is not greater than one

• It is a perfect square

• It is divisible by more than two numbers

• It is an odd number

Which of the following numbers is a prime number?

• 8

• 9

• 7

• 10

What are the factors of 10?

• 1, 2, 4, 10

• 1, 2, 5, 10

• 1, 3, 5, 10

• 1, 2, 6, 10

What is the purpose of the Sieve of Eratosthenes?

• To find the greatest common divisor

• To solve quadratic equations

• To calculate factorials

• To identify prime numbers