Understanding Factors and Prime Factorization

The video tutorial explains how to determine the factors of a number, using 30 and 54 as examples. It begins by defining factors as whole numbers that divide evenly into another number. For smaller numbers like 30, a multiplication table is used to find factor pairs. The tutorial then introduces the prime factorization method, which is useful for larger numbers, and demonstrates it with the number 54. The video concludes by highlighting the benefits of understanding prime factorization for finding factors.

What is a factor of a number?

• A number that is less than the given number

• A number that is a multiple of the given number

• A number that divides the given number evenly

• A number that is greater than the given number

Which of the following is a factor of 30?

• 11

• 5

• 8

• 7

What is the product of the pair of factors 3 and 10?

• 40

• 30

• 20

• 50

What is the last pair of factors for 30 mentioned in the video?

• 1 and 30

• 2 and 15

• 3 and 10

• 5 and 6

What is the prime factorization method used for?

• Finding the factors of a number

• Finding the sum of numbers

• Finding the difference between numbers

• Finding the average of numbers

What is the prime factorization of 54?

• 2 * 3 * 3 * 3

• 2 * 3 * 3 * 2

• 2 * 2 * 3 * 3

• 3 * 3 * 3 * 3

Which of the following is NOT a factor of 54?

• 4

• 9

• 18

• 6

How many factors does 54 have?

• 7

• 8

• 5

• 6

Why might prime factorization be useful for larger numbers?

• It simplifies the process of finding factors

• It makes numbers smaller

• It is faster than multiplication

• It increases the number of factors

Which method is suggested for determining factors of larger numbers?

• Prime Factorization

• Subtraction

• Division

• Addition