Exploring Prime Factorization and Exponents

The video tutorial covers the concept of prime factorization, explaining how to break down numbers into their prime factors. It defines prime numbers and provides examples to distinguish between prime and non-prime numbers. The tutorial also introduces standard and exponential notation, demonstrating how to convert between them. Finally, it explains how to use factor trees to find the prime factorization of numbers, including examples with both positive and negative numbers.

What is a prime number?

• A number that can be divided by three numbers.

• A number that can be divided by two numbers.

• A number that can only be divided by itself and one.

• A number that can be divided by any number.

Which of the following is a prime number?

• 6

• 7

• 4

• 9

What is standard notation?

• A way to write numbers using only prime factors.

• A way to write numbers using decimals.

• A way to write numbers in their expanded form.

• A way to write numbers using exponents.

How would you write 2 times 2 times 2 times 2 times 2 in exponential notation?

• 2^3

• 2^4

• 2^5

• 2^6

What is the base in the exponential notation 5^3?

• 25

• 15

• 5

• 3

What is the result of 4^4?

• 128

• 16

• 256

• 64

What is a factor tree used for?

• To find the sum of numbers.

• To find the prime factorization of a number.

• To find the product of numbers.

• To find the difference between numbers.

What is the prime factorization of 180?

• 2^2 * 3^2 * 5

• 2^2 * 3 * 5^2

• 2^3 * 3 * 5

• 2^3 * 3^2 * 5

What is the prime factorization of 84?

• 2^2 * 3 * 7

• 2^3 * 3 * 7

• 2^2 * 3^2 * 7

• 2^3 * 3^2 * 7

What is the prime factorization of -72?

• -1 * 2^3 * 3^2

• -1 * 2^2 * 3^3

• -1 * 2^3 * 3^3

• -1 * 2^2 * 3^2