Understanding Factors and Prime Numbers

The video tutorial explains how to find factors of a number by listing them and pairing them up. It demonstrates this process using the number 24 and highlights the efficiency of pairing factors. The tutorial also discusses special numbers like 25 and introduces the sieve of Eratosthenes for finding prime numbers.

What is the first step in listing the factors of a number?

• Start with the number itself

• Begin with the number 1

• List all even numbers

• List all odd numbers

How can you determine if you have found all factors of a number?

• By checking only odd numbers

• By pairing factors until they repeat

• By checking only even numbers

• By listing numbers up to 10

Why is it unnecessary to check every number when finding factors?

• Because only even numbers are factors

• Because only numbers up to 10 are factors

• Because factors are always odd

• Because factors repeat in pairs

What is the factor pair of 6 when considering the number 24?

• 5

• 7

• 4

• 3

What is the result of dividing 24 by its factor 6?

• 2

• 3

• 4

• 5

Which number pairs with itself when considering the factors of 25?

• 20

• 5

• 1

• 10

Which number is a factor of both 24 and 25?

• 1

• 2

• 3

• 4

What is a unique characteristic of the number 25 in terms of its factors?

• It is a prime number

• It has only even factors

• It pairs with itself

• It has no factors

What is the significance of the Sieve of Eratosthenes?

• It helps find even numbers

• It lists all numbers up to 100

• It identifies prime numbers

• It finds factors of 50

What does the Sieve of Eratosthenes help you discover?

• All even numbers

• All prime numbers

• All odd numbers

• All composite numbers