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Answer :
To determine which numbers are factors of 12 and which are not, let's go through each number one by one and check if it divides 12 evenly:
1. 1:
- Any number divided by 1 results in a whole number. So, 1 is a factor of every number, including 12.
2. 3:
- Check if 12 divided by 3 results in a whole number.
- [tex]\( 12 \div 3 = 4 \)[/tex] which is a whole number.
- Therefore, 3 is a factor of 12.
3. 5:
- Check if 12 divided by 5 results in a whole number.
- [tex]\( 12 \div 5 = 2.4 \)[/tex] which is not a whole number.
- Therefore, 5 is not a factor of 12.
4. 6:
- Check if 12 divided by 6 results in a whole number.
- [tex]\( 12 \div 6 = 2 \)[/tex] which is a whole number.
- Therefore, 6 is a factor of 12.
5. 8:
- Check if 12 divided by 8 results in a whole number.
- [tex]\( 12 \div 8 = 1.5 \)[/tex] which is not a whole number.
- Therefore, 8 is not a factor of 12.
After examining each number, we find that the factors of 12 among the given numbers are 1, 3, and 6. The numbers that are not factors of 12 are 5 and 8.
1. 1:
- Any number divided by 1 results in a whole number. So, 1 is a factor of every number, including 12.
2. 3:
- Check if 12 divided by 3 results in a whole number.
- [tex]\( 12 \div 3 = 4 \)[/tex] which is a whole number.
- Therefore, 3 is a factor of 12.
3. 5:
- Check if 12 divided by 5 results in a whole number.
- [tex]\( 12 \div 5 = 2.4 \)[/tex] which is not a whole number.
- Therefore, 5 is not a factor of 12.
4. 6:
- Check if 12 divided by 6 results in a whole number.
- [tex]\( 12 \div 6 = 2 \)[/tex] which is a whole number.
- Therefore, 6 is a factor of 12.
5. 8:
- Check if 12 divided by 8 results in a whole number.
- [tex]\( 12 \div 8 = 1.5 \)[/tex] which is not a whole number.
- Therefore, 8 is not a factor of 12.
After examining each number, we find that the factors of 12 among the given numbers are 1, 3, and 6. The numbers that are not factors of 12 are 5 and 8.
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