Exploring Prime Factorization and Its Applications

What is the first step in finding the prime factorization of 75?

• Identify the largest prime number.

• Identify the smallest prime number.

• Divide by 10.

• Multiply by 2.

Which of the following is a prime number?

• 11

• 9

• 6

• 4

What is a prime number?

• A number divisible by all even numbers.

• A number divisible by 2 and 3.

• A number divisible by 1 and itself.

• A number divisible by 1, 2, and 3.

Which of the following numbers is NOT prime?

• 2

• 5

• 3

• 4

What is the prime factorization of 75?

• 3 x 3 x 5

• 3 x 3 x 25

• 3 x 5 x 5

• 5 x 5 x 5

Which prime number is 75 divisible by first?

• 7

• 5

• 3

• 2

What is the next step after finding that 75 is divisible by 3?

• Divide 75 by 5.

• Multiply 75 by 3.

• Divide 75 by 3.

• Add 3 to 75.

What is 25 divided by 5?

• 4

• 3

• 5

• 2

How do you write 5 x 5 in exponential notation?

• 5^2

• 5^4

• 5^1

• 5^3

What is the final prime factorization of 75 in exponential notation?

• 3 x 5^2

• 3 x 5^3

• 3 x 5^1

• 3 x 5^4