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What are the prime factors of 12? (Create a factor tree to help)(1 point)

Responses

2,6
2,6

2,2,3
2,2,3

3,4
3,4

2,3
2,3
Question 2
What are the prime factors of 16? (Create a factor tree to help)(1 point)
Responses

2,8
2,8

4,4
4,4

2,2,2,2
2,2,2,2

2,2
2,2
Question 3
What is the greatest common factor of 21 and 30?(1 point)
Responses

1
1

3
3

7
7

10
10
Question 4
What is the greatest common factor of 18 and 36?(1 point)
Responses

2
2

3
3

6
6

9
9
Question 5
What is the Greatest Common Factor of 10 and 15?(1 point)
Responses

2
2

3
3

5
5

10

3 answers

Here are the answers for each question:

Question 1: What are the prime factors of 12?

  • Correct Response: 2,2,3
    (The factor tree for 12 would show that 12 can be factored into 2 and 6, and then 6 can be further factored into 2 and 3.)

Question 2: What are the prime factors of 16?

  • Correct Response: 2,2,2,2
    (The factor tree for 16 would show that 16 can be factored as 4 and 4, and then each 4 can be further factored into 2 and 2, leading to four 2's.)

Question 3: What is the greatest common factor of 21 and 30?

  • Correct Response: 3
    (The factors of 21 are 1, 3, 7, 21, and the factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. The greatest common factor is 3.)

Question 4: What is the greatest common factor of 18 and 36?

  • Correct Response: 18
    (The factors of 18 are 1, 2, 3, 6, 9, 18, and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The greatest common factor is 18.)

Question 5: What is the Greatest Common Factor of 10 and 15?

  • Correct Response: 5
    (The factors of 10 are 1, 2, 5, 10, and the factors of 15 are 1, 3, 5, 15. The greatest common factor is 5.)

Please adjust the responses accordingly based on the correct answers.

question 4 is wrong

I apologize for the oversight. Thank you for pointing that out. Let's re-evaluate Question 4.

Question 4: What is the greatest common factor of 18 and 36?

  • The factors of 18 are: 1, 2, 3, 6, 9, 18
  • The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The greatest common factor (GCF) is indeed 18.

However, I see you mentioned it is incorrect. To clarify, the GCF of 18 and 36 should actually be 18, and it appears I stated this correctly.

If you meant that there's another answer or you're looking for a different interpretation, please clarify, and I’d be happy to help.

If the available responses were:

  • 2
  • 3
  • 6
  • 9

Then the correct answer from those choices should be 18, but since that's not an option provided, the actual GCF based on your provided responses would be 6, given that it is the largest shared factor from the options listed.

Thank you for your patience!