Understanding Square Roots and Prime Factorization

Which of the following numbers is the only even prime number?

• 3

• 5

• 7

• 2

Which of the following is NOT a prime number?

• 9

• 11

• 7

• 13

What is the first step in finding the prime factors of 125 using the factor tree method?

• Find two numbers that multiply to 125, one of which is prime

• Divide 125 by 2

• Multiply 125 by 5

• Divide 125 by 3

What is the result of multiplying 5 by 25 in the factorization of 125?

• 125

• 200

• 100

• 150

How can the square root symbol be rewritten in terms of exponents?

• As a power of 2

• As a power of 1/2

• As a power of 3

• As a power of 1

What does the radical symbol represent in terms of exponents?

• A power of 3

• A power of 2

• A power of 1/2

• A power of 1

What is the purpose of pairing factors in the simplification process?

• To find new prime numbers

• To change the base of the factors

• To simplify the expression

• To increase the number of factors

What is the final expression for the square root of 125 after simplification?

• 20 and the square root of 20

• 15 and the square root of 15

• 10 and the square root of 10

• 5 and the square root of 5

How do you verify the square root of 125?

• By adding the factors

• By dividing the factors

• By multiplying the factors

• By subtracting the factors

What is the base number used in the final verification of the square root of 125?

• 3

• 4

• 5

• 6