Understanding Factors and Prime Factorization of 108

The video tutorial explains how to find all the factors of the number 108. It begins by identifying 108 as a composite number and demonstrates a method to find its factors by checking divisibility with numbers up to 108. The tutorial also covers prime factorization using a factor tree and verifies the number of factors using exponents. The video concludes with a summary of the factors and offers additional resources for further learning.

What is a composite number?

• A number that is a prime number

• A number that is divisible by numbers other than 1 and itself

• A number that is even

• A number that is only divisible by 1 and itself

Which of the following numbers is a factor of 108?

• 9

• 7

• 11

• 5

How many factors does 108 have?

• 10

• 8

• 14

• 12

What is the purpose of using a factor tree?

• To determine if a number is even or odd

• To identify the prime factors of a number

• To find the sum of all factors

• To calculate the square root of a number

Which of the following is a prime factor of 108?

• 9

• 6

• 4

• 3

What is the result of 2 squared times 3 cubed?

• 36

• 54

• 108

• 72

How can you verify that you have found all factors of a number?

• By checking divisibility by 10

• By using a calculator

• By using prime factorization

• By guessing

What is the exponent of 3 in the prime factorization of 108?

• 4

• 3

• 2

• 1

What is the total number of prime factors in the factorization of 108?

• 6

• 5

• 4

• 3

What is the benefit of using a factor tree?

• It helps in finding the greatest common divisor

• It is used to find the least common multiple

• It is a method to solve quadratic equations

• It simplifies the process of finding prime factors