Question

If 6 is a factor of a number, then 12 is also a factor of the number

Which number is a counterexample to the given statement?

answers:

24

32

48

54

60

Answer 1

are u sure?

Answer 2

To find a counterexample to the statement "If 6 is a factor of a number, then 12 is also a factor of the number," we need to identify a number that is divisible by 6 but not by 12.

Let's go through the given options:

1. **24**:
- 24 ÷ 6 = 4 (divisible by 6)
- 24 ÷ 12 = 2 (divisible by 12)

2. **32**:
- 32 ÷ 6 ≈ 5.33 (not divisible by 6)

3. **48**:
- 48 ÷ 6 = 8 (divisible by 6)
- 48 ÷ 12 = 4 (divisible by 12)

4. **54**:
- 54 ÷ 6 = 9 (divisible by 6)
- 54 ÷ 12 = 4.5 (not divisible by 12)

5. **60**:
- 60 ÷ 6 = 10 (divisible by 6)
- 60 ÷ 12 = 5 (divisible by 12)

From the options, **54** is divisible by 6, but not by 12. Therefore, **54** is a counterexample to the statement.

Answer 3

Let me verify the response again.

We need a number that is divisible by 6 but **not** divisible by 12.

Let's go through the numbers one more time:

1. **24**:
- 24 ÷ 6 = 4 (divisible by 6)
- 24 ÷ 12 = 2 (divisible by 12)

2. **32**:
- 32 ÷ 6 ≈ 5.33 (not divisible by 6)

3. **48**:
- 48 ÷ 6 = 8 (divisible by 6)
- 48 ÷ 12 = 4 (divisible by 12)

4. **54**:
- 54 ÷ 6 = 9 (divisible by 6)
- 54 ÷ 12 = 4.5 (not divisible by 12)

5. **60**:
- 60 ÷ 6 = 10 (divisible by 6)
- 60 ÷ 12 = 5 (divisible by 12)

Upon reviewing, **54** is indeed divisible by 6 but not by 12. Thus, **54** is the correct counterexample to the statement. Thank you for prompting me to double-check.