Prime Factorization Concepts

The video tutorial explains the concept of prime factorization, also known as integer factorization or prime decomposition. It demonstrates how to find the prime factors of the numbers 45 and 75 using a factor tree method. The process involves breaking down each number into its prime components, circling the prime numbers, and writing the final expression in both expanded and exponential forms. The video concludes with a brief promotion of the channel, encouraging viewers to subscribe and share.

What is another name for prime factorization?

• Number division

• Prime multiplication

• Integer factorization

• Integer decomposition

Which prime number is used first in the factorization of 45?

• 2

• 3

• 5

• 7

What is the prime factorization of 45?

• 2 x 2 x 5

• 3 x 5 x 7

• 2 x 3 x 5

• 3 x 3 x 5

Which number is used first in the factorization of 75?

• 5

• 7

• 3

• 2

What is the prime factorization of 75?

• 3 x 5 x 5

• 2 x 3 x 5

• 3 x 3 x 5

• 2 x 5 x 5

How can the prime factorization of 45 be expressed using exponents?

• 2 x 3^2

• 3 x 5^2

• 2^2 x 5

• 3^2 x 5

How can the prime factorization of 75 be expressed using exponents?

• 2^2 x 5

• 3 x 5^2

• 3^2 x 5

• 2 x 3^2