Prime Factorization Concepts and Methods

The video tutorial explains the concept of prime factorization, demonstrating how to find the prime factors of numbers using a factor tree. It provides examples with the numbers 117 and 289, showing the step-by-step process of breaking them down into their prime components. The video concludes with a brief promotion of the channel, encouraging viewers to subscribe for more math and science content.

What is the purpose of prime factorization?

• To find the sum of all prime numbers

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

• To divide a number by its largest prime factor

• To convert a number into a decimal

Which method is used in the video to find the prime factors of a number?

• Long division

• Multiplication table

• Factor tree

• Graphical method

What is the prime factorization of 117?

• 3 x 39

• 3 x 3 x 13

• 3 x 13

• 3 x 3 x 3

How can the prime factorization of 117 be expressed using exponents?

• 3^3 x 13

• 3^2 x 13

• 3 x 13^2

• 3 x 3 x 3

What is the prime factorization of 289?

• 11 x 11

• 17 x 17

• 13 x 13

• 19 x 19

How can the prime factorization of 289 be expressed using exponents?

• 13^2

• 17^2

• 19^2

• 11^2