Prime Factorization Practice and Application

What is the smallest prime number used to start the factorization of 36?

• 5

• 7

• 2

• 3

What is the prime factorization of 36?

• 2 x 2 x 2 x 3

• 3 x 3 x 4

• 2 x 3 x 6

• 2 x 2 x 3 x 3

Which of the following is a composite number in the factorization of 36?

• 2

• 3

• 9

• 5

What is the prime factorization of 30?

• 2 x 3 x 5

• 2 x 3 x 3

• 2 x 2 x 3 x 5

• 3 x 5 x 5

Which of the following numbers is not a prime factor of 30?

• 4

• 5

• 3

• 2

What makes 73 a prime number?

• It is only divisible by 1 and itself

• It is divisible by 5

• It is divisible by 3

• It is divisible by 2

Which of the following numbers is not a factor of 73?

• 1

• 2

• 3

• 5

Why is 1 not considered a prime number?

• It is only divisible by itself

• It is a composite number

• It has only one factor

• It is an even number

What is the correct prime factorization of 73?

• 7 x 10.428

• 1 x 73

• 73

• 2 x 36.5

Which of the following statements is true about prime numbers?

• They are always greater than 100

• They are always even

• They have exactly two distinct positive divisors

• They have more than two factors