Prime Factorization and Exponents

In this video, students learn how to find the prime factorization of 3750 and determine the exponent of five in this factorization. The process involves dividing the number by prime numbers, starting with two, then three, and finally five, until the number is fully divided. The prime factors are then expressed as a product, and the exponent of five is identified as four. The video concludes with a call to action to like and subscribe for more math content.

What is the main topic of the video?

• Exploring the history of mathematics

• Understanding multiplication

• Learning about even numbers

• Finding the prime factorization of 3750

Which prime number is used first to divide 3750?

• 3

• 7

• 5

• 2

After dividing by 2, which prime number is used next?

• 7

• 3

• 11

• 13

What is the next step after dividing by 3?

• Subtract 1

• Divide by 7

• Divide by 5

• Multiply by 2

How many times is the number 5 used in the factorization?

• 5 times

• 2 times

• 3 times

• 4 times

What is the exponent of 5 in the prime factorization of 3750?

• 2

• 3

• 4

• 5

How is the prime factorization of 3750 written in exponent form?

• 2 * 3^2 * 5^4

• 2 * 3 * 5^3

• 2 * 3 * 5^4

• 2^2 * 3 * 5^4

What is the product form of the prime factorization of 3750?

• 2 * 3 * 5 * 5 * 5

• 2 * 3 * 5 * 5 * 5 * 5

• 2 * 3 * 5 * 5

• 2 * 3 * 5

What is the final step in the video?

• Summarizing the results

• Solving a different math problem

• Introducing a new topic

• Finding the prime factorization of another number

What does the teacher encourage viewers to do at the end of the video?

• Watch another video

• Like and subscribe

• Comment on the video

• Share the video