Prime Factorization of 72

The video tutorial explains the concept of prime factorization, using the number 72 as an example. It begins by defining prime factorization as the process of breaking down a number into its prime factors. The tutorial then demonstrates the step-by-step factorization of 72, starting with 2 times 36, followed by 2 times 18, and finally 3 times 3. The result is expressed as 2 to the third power times 3 squared. The video concludes with a brief summary and encourages viewers to subscribe for more math and science content.

What is the purpose of prime factorization?

• To express a number as a product of prime numbers

• To find the sum of all numbers

• To convert a number into a fraction

• To divide a number by 10

What is the first prime number used in the factorization of 72?

• 5

• 3

• 7

• 2

After dividing 72 by 2 three times, what number do you get?

• 36

• 18

• 9

• 12

What is the final prime factorization of 72?

• 2^2 x 3^3

• 2^3 x 3^2

• 2^3 x 3

• 2 x 3^3

Which of the following is a prime number used in the factorization of 72?

• 3

• 6

• 8

• 4