Prime Factorization Concepts

The video tutorial demonstrates the prime factorization of the numbers 360 and 62 using a factor tree method. The instructor begins by explaining the concept of prime factorization and then proceeds to break down the number 360 into its prime factors: 2, 3, and 5. The process involves repeatedly dividing the number by its smallest prime factor until all factors are prime. The factorization of 360 is shown as 2^3 * 3^2 * 5. The video then moves on to the simpler factorization of 62, which is 2 * 31. The tutorial concludes with a call to action for viewers to subscribe to MooMooMath for more educational content.

What is the purpose of using a factor tree in prime factorization?

• To add numbers

• To multiply numbers

• To break down a number into its prime factors

• To divide numbers

Which of the following is the correct prime factorization of 360?

• 2 × 3 × 5

• 2^3 × 3^2 × 5

• 2^2 × 3 × 5^2

• 3^3 × 2 × 5

In the factorization of 360, which number is not a prime factor?

• 6

• 2

• 5

• 3

What are the prime factors of 62?

• 2 and 31

• 3 and 31

• 2 and 15

• 2 and 30

Which of the following statements is true about the number 62?

• It is an odd number

• It can be divided by 2 and 31

• It has more than two prime factors

• It is a prime number