Prime Factorization Using Stack Division

This video tutorial explains how to determine the prime factorization of a number using stack division, an alternative to the prime factorization tree. The process involves dividing the number 6552 by prime numbers, starting with two, then three, seven, and finally thirteen, until a quotient of one is achieved. The video demonstrates each division step-by-step, verifying divisibility and showing the work involved. The final prime factorization is presented both in expanded form and using exponents.

What is the initial number used for demonstrating stack division?

• 819

• 3276

• 273

• 6552

Which divisibility rule is applied first to the number 6552?

• Divisibility by 2

• Divisibility by 3

• Divisibility by 7

• Divisibility by 5

After dividing 6552 by 2, what is the next number obtained?

• 1600

• 3276

• 819

• 273

What is the sum of the digits of 819, and is it divisible by 3?

• 17, No

• 19, No

• 20, Yes

• 18, Yes

What is the result of dividing 819 by 3?

• 273

• 13

• 91

• 1

Which number is checked for divisibility by 7?

• 819

• 6552

• 91

• 273

What is the prime factorization of 91?

• 5 x 19

• 2 x 2 x 2

• 3 x 3

• 7 x 13

What is the final prime factorization of 6552 using exponents?

• 3^3 x 2 x 11 x 13

• 2^4 x 3 x 5 x 7

• 2^2 x 3^3 x 5 x 11

• 2^3 x 3^2 x 7 x 13

Which method is used as an alternative to the prime factorization tree?

• Stack Division

• Polynomial Division

• Long Division

• Synthetic Division

What is the significance of reaching a quotient of 1 in stack division?

• It means the number is divisible by 10

• It confirms the factorization is complete

• It shows the number is prime

• It indicates the end of the process