Understanding Prime Factorization Concepts

The video tutorial explains the concept of prime factorization using the number 36 as an example. It begins by defining prime factorization and then demonstrates how to break down 36 into its prime factors. The process involves multiplying 6 by 6 to get 36, and then further breaking down each 6 into 2 and 3, which are prime numbers. The tutorial concludes by showing that the prime factorization of 36 is 2 * 2 * 3 * 3.

What is the purpose of prime factorization?

• To divide a number by its smallest factor

• To multiply numbers to get a larger number

• To break down a number into its prime factors

• To find the sum of all factors

Which multiplication is used as the first step to break down 36?

• 4 * 9

• 3 * 12

• 2 * 18

• 6 * 6

What is the prime factorization of 6?

• 2 * 3

• 3 * 3

• 1 * 6

• 2 * 2

Why can't the number 2 be broken down further in prime factorization?

• Because it is a factor of 36

• Because it is already a prime number

• Because it is an even number

• Because it is less than 3

What is the final prime factorization of 36?

• 2 * 2 * 2 * 3

• 3 * 3 * 4

• 2 * 2 * 3 * 3

• 2 * 3 * 6