Understanding Factors and Prime Factorization

The video tutorial explains how to determine the factors of 180 by using both the definition of factors and prime factorization. It begins with an introduction to factors, followed by creating a prime factorization tree for 180. The tutorial then demonstrates finding factors through multiplication and lists all factors of 180 in order. The video concludes with a summary of the factors found, emphasizing the importance of prime factorization in ensuring no factors are missed.

What is a factor of a number?

• A number that divides the given number evenly

• A number that is a multiple of the given number

• A number that is less than the given number

• A number that is greater than the given number

Which of the following is a prime factor of 180?

• 6

• 4

• 9

• 5

What is the prime factorization of 180?

• 2 x 3 x 5

• 2 x 2 x 2 x 5

• 2 x 2 x 3 x 3 x 5

• 3 x 3 x 5

How can you use prime factorization to find factors of 180?

• By subtracting the prime factors

• By adding the prime factors

• By multiplying different combinations of the prime factors

• By dividing the prime factors

Which of the following is NOT a factor of 180?

• 7

• 9

• 12

• 10

What is the product of 4 and 45?

• 135

• 90

• 225

• 180

Which pair of numbers multiplies to give 180?

• 12 and 15

• 11 and 16

• 14 and 13

• 13 and 14

What is the smallest factor of 180?

• 1

• 2

• 5

• 3

What is the largest factor of 180?

• 200

• 180

• 90

• 120

Why is prime factorization useful in finding factors?

• It only finds even factors

• It reduces the number of factors

• It ensures no factors are missed

• It helps in finding the sum of factors