To find all the factors of the number 40, we need to determine which numbers can divide 40 without leaving a remainder. Let's go through the calculation step-by-step:
1. Start with the smallest number, 1:
- [tex]\( 40 \div 1 = 40 \)[/tex]
- 1 is a factor, and since [tex]\( 40 \div 1 \)[/tex] equals 40, 40 is also a factor.
2. Next, consider the number 2:
- [tex]\( 40 \div 2 = 20 \)[/tex]
- 2 is a factor, and since [tex]\( 40 \div 2 \)[/tex] equals 20, 20 is also a factor.
3. Next, consider the number 4:
- [tex]\( 40 \div 4 = 10 \)[/tex]
- 4 is a factor, and since [tex]\( 40 \div 4 \)[/tex] equals 10, 10 is also a factor.
4. Next, consider the number 5:
- [tex]\( 40 \div 5 = 8 \)[/tex]
- 5 is a factor, and since [tex]\( 40 \div 5 \)[/tex] equals 8, 8 is also a factor.
5. Continue testing each integer up to 40:
- For numbers 3, 6, 7, 9, 11, 12, and so forth up to 39, none will divide 40 without leaving a remainder.
By this systematic approach, we identify that the numbers that divide 40 exactly are 1, 2, 4, 5, 8, 10, 20, and 40.
Thus, the complete set of factors of 40 is:
[tex]\[ 1, 2, 4, 5, 8, 10, 20, 40 \][/tex]
Among the provided options, the correct one is:
[tex]\[
\boxed{1, 2, 4, 5, 8, 10, 20, 40}
\][/tex]
