Prime Factorization and Exponential Forms

The video tutorial explains how to write numbers in exponential notation by performing prime factorization. It covers the process for two numbers, 32 and 675, detailing each step of dividing by prime numbers until reaching 1. The results are expressed in exponential form as 2^5 for 32 and 3^3 * 5^2 for 675.

What is the main task described in the video introduction?

• To solve a complex equation

• To convert numbers into exponential notation

• To learn about fractions

• To discuss geometry concepts

What is the first step in finding the exponential form of 32?

• Dividing by 10

• Performing prime factorization

• Finding the square root

• Adding the digits

How many times is the number 2 multiplied to itself in the exponential form of 32?

• 6 times

• 3 times

• 5 times

• 4 times

What is the smallest prime number used in the factorization of 675?

• 2

• 3

• 7

• 5

What is the purpose of the divisibility test for 3 in the factorization of 675?

• To check if 675 is a prime number

• To find the square of 675

• To determine if 675 can be divided by 3

• To convert 675 into a fraction

What is the result of dividing 675 by 3 for the first time?

• 300

• 450

• 225

• 150

How many times is the number 3 multiplied to itself in the exponential form of 675?

• 2 times

• 3 times

• 5 times

• 4 times

What is the exponential form of 675?

• 2^3 * 5^3

• 5^3 * 3^2

• 3^3 * 5^2

• 2^5

Which prime number is used after 3 in the factorization of 675?

• 5

• 11

• 2

• 7

What is the final step in the prime factorization process?

• Stopping when the number becomes 1

• Adding all prime factors

• Dividing by the largest prime number

• Multiplying all prime factors