College

Which of these numbers have 6 as a factor? Check all that apply.

☐ A. 8
☐ B. 12
☐ C. 97
☐ D. 66
☐ E. 60
☐ F. 43

Answer :

Sure! Let's determine which of the given numbers have 6 as a factor.

First, let's understand what it means for a number to have 6 as a factor. A number has 6 as a factor if it can be evenly divided by 6 without leaving any remainder. In other words, when you divide the number by 6, the remainder should be 0.

Let's check each number one by one:

1. Number 8:
- Divide 8 by 6: [tex]\( 8 \div 6 = 1 \)[/tex] with a remainder of 2.
- Since the remainder is not 0, 8 does not have 6 as a factor.

2. Number 12:
- Divide 12 by 6: [tex]\( 12 \div 6 = 2 \)[/tex] with a remainder of 0.
- Since the remainder is 0, 12 has 6 as a factor.

3. Number 97:
- Divide 97 by 6: [tex]\( 97 \div 6 = 16 \)[/tex] with a remainder of 1.
- Since the remainder is not 0, 97 does not have 6 as a factor.

4. Number 66:
- Divide 66 by 6: [tex]\( 66 \div 6 = 11 \)[/tex] with a remainder of 0.
- Since the remainder is 0, 66 has 6 as a factor.

5. Number 60:
- Divide 60 by 6: [tex]\( 60 \div 6 = 10 \)[/tex] with a remainder of 0.
- Since the remainder is 0, 60 has 6 as a factor.

6. Number 43:
- Divide 43 by 6: [tex]\( 43 \div 6 = 7 \)[/tex] with a remainder of 1.
- Since the remainder is not 0, 43 does not have 6 as a factor.

Based on the above steps, the numbers that have 6 as a factor are:

- 12
- 66
- 60

So, the correct answers are:
☑ B. 12
☑ D. 66
☑ E. 60