What is prime factorization

The video tutorial explains the concept of prime factorization, which involves expressing a number as a product of its prime factors. The teacher uses the number 24 as an example, guiding students through the process of identifying its factors and breaking them down into prime numbers. The final prime factorization of 24 is shown as 2 * 2 * 2 * 3, demonstrating how to list a number's prime factors.

What is the main goal of prime factorization?

• To find the largest factor of a number

• To determine if a number is even or odd

• To express a number as a product of its prime factors

• To express a number as a sum of its factors

Which of the following is a factor of 24?

• 5

• 15

• 7

• 12

What are the prime factors of 12?

• 2 and 6

• 3 and 4

• 2 and 3

• 1 and 12

How can the number 24 be expressed using its prime factors?

• 2 * 2 * 2 * 3

• 2 * 2 * 6

• 3 * 3 * 2

• 2 * 3 * 4

What is the final step in prime factorizing a number?

• Adding all the factors together

• Dividing the number by its largest factor

• Expressing the number as a product of only prime numbers

• Finding the square root of the number