To find the factors of 16, we need to determine all the numbers that divide 16 evenly, without leaving any remainder. Here’s a step-by-step breakdown of how to find the factors of 16:
1. Understand what factors are:
Factors are numbers that you multiply together to get another number. For example, in 4 x 4 = 16, both 4 and 4 are factors of 16.
2. Start from 1:
The number 1 is always a factor of any number because any number divided by 1 is itself. Therefore, 1 is a factor of 16.
3. Check each number up to 16:
We need to check if each number from 1 to 16 can divide 16 without leaving a remainder (i.e., the division should result in a whole number).
4. Divide and check each possibility:
- 16 ÷ 1 = 16 (without remainder, so 1 is a factor)
- 16 ÷ 2 = 8 (without remainder, so 2 is a factor)
- 16 ÷ 3 = 5.33 (leaves a remainder, so 3 is not a factor)
- 16 ÷ 4 = 4 (without remainder, so 4 is a factor)
- 16 ÷ 5 = 3.2 (leaves a remainder, so 5 is not a factor)
- 16 ÷ 6 = 2.67 (leaves a remainder, so 6 is not a factor)
- 16 ÷ 7 = 2.29 (leaves a remainder, so 7 is not a factor)
- 16 ÷ 8 = 2 (without remainder, so 8 is a factor)
- 16 ÷ 9 = 1.78 (leaves a remainder, so 9 is not a factor)
- Continue this process up through 16...
5. Write down all the valid factors:
We find that the numbers 1, 2, 4, 8, and 16 divide 16 evenly without leaving a remainder. Therefore, they are the factors of 16.
### Conclusion:
The factors of 16 are:
[tex]\[ 1, 2, 4, 8, 16 \][/tex]
