To find the factors of 125, we need to determine which numbers can divide 125 without leaving a remainder. Below is the step-by-step process:
1. Start with 1:
- 1 is a factor of every number.
- 125 ÷ 1 = 125 with no remainder.
- So, 1 is a factor.
2. Next possible factor is 5:
- 125 ends in 5, so it is divisible by 5.
- 125 ÷ 5 = 25 with no remainder.
- So, 5 is a factor.
3. Continuing with 25:
- The result of the previous division (25) is also divisible by 5 and 25 itself.
- 125 ÷ 25 = 5 with no remainder.
- So, 25 is a factor.
4. Finally, the number itself (125):
- Every number is divisible by itself.
- 125 ÷ 125 = 1 with no remainder.
- So, 125 is a factor.
After checking the numbers systematically, we determine that the factors of 125 are:
[tex]\[ 1, 5, 25, 125 \][/tex]
These are all the numbers that can divide 125 exactly.
