Prime Numbers and Prime Factorization

Jaime created the list of factors of 32 below.32: 1, 2, 4, 6, 8, 16, 32 Which number should be removed from this list to make the list accurate?

6

Ray created the list of factors for 48 below.48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48 Which number should be removed from his list to make the list accurate?

7

The prime factorization of a number is . Which is a true statement about the factors of the number?

Fifteen is a factor of the number because both 3 and 5 are prime factors.

Manuel created a factor tree and wrote the prime factorization of 60 shown below.What is Manuel's error?

He did not find the prime factors of 4.

Lina and Josh each made a factor tree to find the prime factorization of 126. Lina's Solution Josh's SolutionWhich statement explains the accuracy of the students' work?

Lina's solution is correct because it expresses 126 as a product of prime factors.

Latoya created a factor tree and wrote the prime factorization of 90 shown below.What is Latoya's error?

She should have included an exponent of 2 on the 3.

The prime factorization of a number is . Which statement is true about the factors of the number?

Twenty-one is a factor of the number because both 3 and 7 are prime factors.

Composite numbers have

more than two factors.

Which list shows all the factors of 36?

1, 2, 3, 4, 6, 9, 12, 18, 36

Which number is a factor of 51?

17

What is the prime factorization of 40?

2 x 2 x 2 x 5

The factor tree below provides the factors of 18. What is the prime factorization of 18?

2 x 2 x 3

Which number is a factor of 100?

20

What is the sum of the first four composite numbers?

27

What is the sum of the first five prime numbers?

28

What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10?

35