Dividing and Factorization Problems

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 smallest prime number, 2, is used repeatedly until the number is reduced to 1, resulting in 2 raised to the power of 5. For 675, the process involves checking divisibility by 3 and 5, leading to the expression 3 cubed times 5 squared. The tutorial provides a clear, step-by-step guide to understanding exponential notation through prime factorization.

What is the main task described in the video?

• To find the square root of numbers

• To write numbers in decimal form

• To write numbers in exponential notation

• To convert numbers to fractions

What is the first step in writing 32 in exponential form?

• Converting it to a fraction

• Performing prime factorization

• Finding its square root

• Adding it to another number

What is the smallest prime number?

• 1

• 3

• 2

• 5

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

• 2

• 5

• 3

• 7

What is the prime factorization of 32?

• 5 * 5

• 2 * 2 * 2 * 2

• 3 * 3 * 3

• 2 * 2 * 2 * 2 * 2

What is the result of dividing 16 by 2?

• 6

• 8

• 12

• 10

What is the result of dividing 8 by 2?

• 2

• 3

• 4

• 5

What is the result of dividing 4 by 2?

• 1

• 4

• 2

• 3

What is the result of dividing 2 by 2?

• 2

• 3

• 1

• 0

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

• 5 times

• 4 times

• 3 times

• 6 times