Prime Factorization Concepts and Techniques

The video tutorial introduces prime factorization, explaining it as expressing a number as a product of prime factors. It demonstrates the upside down division method to find the prime factors of 540, starting with the smallest prime number and dividing step-by-step until all factors are prime. The tutorial concludes by summarizing the process and confirming the prime factorization of 540.

What is the main goal of prime factorization?

• To divide a number by all possible numbers

• To find the largest prime number

• To express a number as a product of prime factors

• To express a number as a sum of prime numbers

Which method is used in the video to perform prime factorization?

• Long division method

• Multiplication method

• Upside-down division method

• Subtraction method

What is the first prime number used to divide 540?

• 3

• 2

• 5

• 7

After dividing 540 by 2 twice, what is the resulting quotient?

• 540

• 405

• 135

• 270

Which prime number is used to divide 135?

• 2

• 5

• 3

• 7

What is the final prime factor obtained in the factorization of 540?

• 2

• 3

• 5

• 7

How many times is the number 3 used in the factorization of 540?

• 3

• 4

• 1

• 2

What is the complete prime factorization of 540?

• 2 * 2 * 2 * 3 * 5

• 2 * 2 * 3 * 3 * 3 * 5

• 3 * 3 * 3 * 5

• 2 * 3 * 5

Which of the following is NOT a prime factor of 540?

• 7

• 5

• 3

• 2

What is the significance of using only prime numbers in factorization?

• It makes the process faster

• It ensures the factors are unique

• It simplifies the number

• It helps in finding the largest factor