Prime Factorization Using Stack Division

This video tutorial introduces the stack division method for finding the prime factorization of numbers, offering an alternative to the prime factorization tree. It reviews divisibility rules for prime numbers and demonstrates the method with examples, including the prime factorization of 300 and 693. The tutorial emphasizes the use of prime numbers in division and provides a clear, step-by-step approach to obtaining the prime factors.

What is the main purpose of using stack division in this lesson?

• To learn basic arithmetic operations

• To understand the concept of fractions

• To find the prime factorization of a number

• To solve complex algebraic equations

Which of the following numbers is divisible by 2?

• 246

• 357

• 135

• 579

How can you determine if a number is divisible by 3?

• If it is a prime number

• If it ends in 0 or 5

• If the sum of its digits is divisible by 3

• If it ends in 0, 2, 4, 6, or 8

What is the first step in finding the prime factorization of 300 using stack division?

• Divide by 2

• Divide by 7

• Divide by 5

• Divide by 3

After dividing 300 by 2 twice, what is the next step in the factorization process?

• Divide by 5

• Divide by 7

• Divide by 3

• Divide by 11

What is the prime factorization of 300 using exponents?

• 2^3 * 3 * 5

• 2 * 3^2 * 5

• 2 * 3 * 5^3

• 2^2 * 3 * 5^2

What is the first prime number used to divide 693 in the stack division method?

• 7

• 5

• 3

• 2

Which prime number is used to divide 77 in the factorization of 693?

• 11

• 3

• 5

• 7

What is the prime factorization of 693 using exponents?

• 3^2 * 7 * 11

• 3 * 7^2 * 11

• 3 * 7 * 11^2

• 3^3 * 7 * 11

What is the benefit of using stack division over a prime factorization tree?

• It requires less mathematical knowledge

• It provides a clearer order of prime factors

• It is faster for all numbers

• It is more visually appealing