Prime Factorization Methods

The video introduces two methods for prime factorization: the factor tree and the cake method. It explains how to find the prime factors of numbers using these methods with examples. The factor tree method involves breaking down a number into its prime factors by dividing it by the smallest prime number until all factors are prime. The cake method is similar but uses a visual representation resembling a cake. The video concludes by encouraging viewers to choose their preferred method and subscribe for more content.

What is the main goal of prime factorization?

• To divide a number into even parts

• To determine which prime numbers multiply to form the original number

• To identify the largest factor of a number

• To find the sum of all factors of a number

Which method involves drawing branches to break down a number into its prime factors?

• Multiplication method

• Cake method

• Factor tree method

• Division method

In the factor tree method, what is the prime factorization of 78?

• 2 x 3 x 13

• 2 x 3 x 39

• 2 x 39

• 3 x 13

What are the prime factors of 85 using the factor tree method?

• 5 x 17

• 5 x 13

• 3 x 17

• 2 x 5 x 17

Which method is described as looking like a cake?

• Division method

• Cake method

• Multiplication method

• Factor tree method

Using the cake method, what is the prime factorization of 18?

• 2 x 3 x 6

• 3 x 6

• 2 x 9

• 2 x 3 x 3

In the cake method, what is the first step when finding the prime factorization of a number?

• Write the number and draw brackets over it

• Divide the number by 3

• Multiply the number by 2

• Draw a factor tree

What is the prime factorization of 72 using the cake method?

• 2 x 2 x 3 x 6

• 2 x 3 x 12

• 2 x 2 x 2 x 3 x 3

• 3 x 3 x 8

Which method might be easier for visual learners?

• Factor tree method

• Cake method

• Both methods are equally visual

• Neither method is visual

What is the final step in the cake method when the number is reduced to a prime?

• Multiply by 2

• Divide by 3

• Write a 1 on top

• Draw another bracket