Understanding Prime Factorization Concepts

This video tutorial covers the basics of prime factorization, starting with a review of prime and composite numbers. It explains how to determine the prime factorization of a natural number using a factor tree. The video provides several examples, including the prime factorization of 24, 54, 120, and 625, demonstrating the process step-by-step. The importance of identifying and circling prime numbers during factorization is emphasized to avoid errors.

What is a prime number?

• A number with only one factor

• A number with exactly two factors

• A number with more than two factors

• A number that is even

Which of the following is a composite number?

• 5

• 3

• 15

• 2

Which number is neither prime nor composite?

• 0

• 1

• 2

• 3

What is the difference between factors and prime factors?

• Factors are always prime

• Prime factors are the smallest factors

• Factors can be any numbers that multiply to the original number, while prime factors are specifically prime numbers

• There is no difference

What is the prime factorization of 12?

• 2 x 6

• 3 x 4

• 2 x 2 x 3

• 1 x 12

How can you express the prime factorization of 24 using exponents?

• 2 x 2 x 2 x 3

• 2^3 x 3

• 2 x 3 x 4

• 3^2 x 2

What is the prime factorization of 54?

• 2 x 3 x 3 x 3

• 2 x 3 x 9

• 2 x 3^3

• 3 x 3 x 6

Why is it important to circle prime numbers in a factor tree?

• To easily identify and not forget any prime factors

• To separate them from composite numbers

• To make the tree look neat

• To ensure all numbers are multiplied

What is the prime factorization of 120?

• 2^3 x 3 x 5

• 2 x 2 x 2 x 3 x 5

• 3 x 4 x 10

• 2 x 3 x 20

How can you express the prime factorization of 625 using exponents?

• 5 x 125

• 25 x 25

• 5 x 5 x 5 x 5

• 5^4