Prime Factorization Concepts and Applications

What is the fundamental theorem of arithmetic related to?

• The sum of all prime numbers

• The unique set of prime factors for every positive number

• The division of odd numbers

• The multiplication of even numbers

What is the purpose of using prime factors in cryptology?

• To keep data safe

• To decrypt data

• To encrypt data

• To compress data

Which of the following is the only even prime number?

• 2

• 3

• 5

• 7

What is the first step in breaking down a number into prime factors?

• Divide by the largest prime number

• Divide by 1

• Multiply by 2

• Look for prime numbers that divide exactly

In the example of finding prime factors of 90, which prime number is used first?

• 5

• 2

• 7

• 3

How can the prime factors of 90 be expressed using exponents?

• 2 * 3 * 5^2

• 2 * 3^2 * 5

• 2^2 * 3 * 5

• 2 * 3 * 5

What is the result of dividing 90 by 2 in the prime factorization example?

• 10

• 15

• 30

• 45

What should you ensure when using the list method for prime factorization?

• Always end up at zero

• Always end up at one

• Always end up at two

• Always end up at three

Does the order of choosing prime numbers affect the final result in factorization?

• Yes, but only for even numbers

• No, it does not change the result

• No, but only for odd numbers

• Yes, it changes the result

What is the next topic to be covered in the following video?

• Understanding the properties of even numbers

• Calculating the sum of prime numbers

• Using prime factorization to find the highest common factor and lowest common multiple

• Finding the greatest common divisor