Prime Factorization Quiz

What is the definition of a prime number?

• A number that can be divided by 2

• A number that is a multiple of 10

• A number that has only two distinct positive divisors: 1 and itself

• A number that can be divided by any number

What is the prime factorization of 12?

• 2 * 2 * 3

• 3 * 4

• 1 * 12

• 2 * 6

Why is prime factorization important?

• It helps in solving linear equations

• It is used in data encryption and finding common factors

• It helps in finding the square root of numbers

• It is used to calculate the area of a circle

What is the first step in the factor tree method?

• Add 5 to the number

• Subtract 1 from the number

• Find two numbers that multiply to the original number

• Divide the number by 10

What is the prime factorization of 24 using the factor tree method?

• 2 * 2 * 2 * 3

• 3 * 8

• 4 * 6

• 2 * 12

What happens if you start with different numbers in the factor tree method?

• You get different prime factors

• You end up with the same prime factorization

• The process cannot be completed

• You get a larger number

What is the ladder method based on?

• Subtraction

• Addition

• Multiplication

• Division

What is the prime factorization of 30 using the ladder method?

• 2 * 15

• 5 * 6

• 3 * 10

• 2 * 3 * 5

Which method can be used to find the greatest common factor?

• Factor tree method

• Ladder method

• Both factor tree and ladder methods

• Neither method

What is a benefit of using prime factorization in mathematics?

• It simplifies the process of finding common multiples

• It is used to measure angles

• It helps in drawing geometric shapes

• It assists in solving quadratic equations