Prime Factorization Concepts

The video tutorial explains the concept of prime factorization, demonstrating how to find the prime factors of the numbers 30 and 90 using a factor tree method. The instructor begins by explaining the definition of prime factorization and then proceeds to break down the numbers 30 and 90 into their prime components. For 30, the factors are 2, 3, and 5, while for 90, the factors are 2, 3, 3, and 5. The video concludes with a reminder to subscribe to the channel for more math and science tutorials.

What is the purpose of prime factorization?

• To find the sum of all factors of a number

• To determine which prime numbers multiply to form the original number

• To calculate the square root of a number

• To identify the largest prime number less than a given number

Which of the following is a prime factor of 30?

• 2

• 9

• 6

• 4

What is the prime factorization of 30?

• 2 x 5 x 7

• 2 x 3 x 5

• 3 x 5 x 7

• 3 x 3 x 5

Which number is not a prime factor of 90?

• 7

• 5

• 3

• 2

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

• 2 x 3 x 5

• 2 x 3 x 5^2

• 2 x 3^2 x 5

• 2^2 x 3 x 5

What is the first step in finding the prime factors of 90 using a factor tree?

• Divide 90 by 7

• Divide 90 by 3

• Divide 90 by 5

• Divide 90 by 2