Divisibility and Exponential Notation

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. For 32, the prime factorization results in 2 raised to the power of 5. For 675, the process involves checking divisibility by prime numbers, resulting in 3 raised to the power of 3 multiplied by 5 squared. The tutorial provides a detailed walkthrough of each step, ensuring a clear understanding of the concept.

What is the first step in writing a number in exponential notation?

• Divide the number by 10

• Perform prime factorization

• Add all the digits of the number

• Multiply the number by itself

Which prime number is used first in the factorization of 32?

• 7

• 2

• 5

• 3

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

• 6 times

• 5 times

• 4 times

• 3 times

What is the exponential form of 32?

• 2^4

• 2^5

• 2^6

• 2^3

Which test is used to check if 675 is divisible by 3?

• Check if the last digit is 0

• Add the digits and check divisibility by 3

• Subtract 5 from the number

• Multiply the digits together

What is the result of dividing 675 by 3?

• 150

• 450

• 225

• 300

After dividing 225 by 3, what is the next number obtained?

• 50

• 75

• 100

• 125

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

• 2

• 5

• 7

• 11

What is the exponential form of 675?

• 3^3 * 5^2

• 3^2 * 5^3

• 3^4 * 5^1

• 3^1 * 5^4

What is the final step in the prime factorization process?

• Stop when the number is a multiple of 10

• Stop when the number is odd

• Stop when the number is even

• Stop when the number becomes 1