To find all the factors of 40, we need to determine all the integers that can divide 40 without leaving a remainder. Let's systematically go through the possible options.
1. Start with 1 and 40:
- [tex]\( 1 \times 40 = 40 \)[/tex]
- So, 1 and 40 are factors of 40.
2. Check 2:
- [tex]\( 2 \times 20 = 40 \)[/tex]
- So, 2 and 20 are factors of 40.
3. Check 3:
- 40 divided by 3 is not an integer because [tex]\( 40 \div 3 \approx 13.33 \)[/tex].
- So, 3 is not a factor.
4. Check 4:
- [tex]\( 4 \times 10 = 40 \)[/tex]
- So, 4 and 10 are factors of 40.
5. Check 5:
- [tex]\( 5 \times 8 = 40 \)[/tex]
- So, 5 and 8 are factors of 40.
6. Check 6:
- 40 divided by 6 is not an integer because [tex]\( 40 \div 6 \approx 6.67 \)[/tex].
- So, 6 is not a factor.
7. Check 7:
- 40 divided by 7 is not an integer because [tex]\( 40 \div 7 \approx 5.71 \)[/tex].
- So, 7 is not a factor.
We have identified all the factors of 40: 1, 2, 4, 5, 8, 10, 20, and 40. They are listed in ascending order:
[tex]\[
\{ 1, 2, 4, 5, 8, 10, 20, 40 \}
\][/tex]
Therefore, the correct answer is:
[tex]\[
1, 2, 4, 5, 8, 10, 20, 40
\][/tex]
