To determine the factors of the number 80, follow these steps:
1. Understand the definition of factors: Factors of a number are the integers that can be multiplied together to result in the original number. For example, if [tex]\( a \times b = 80 \)[/tex], then both [tex]\( a \)[/tex] and [tex]\( b \)[/tex] are factors of 80.
2. List all pairs of factors:
- Begin by testing the smallest possible integer, which is 1:
- [tex]\( 1 \times 80 = 80 \)[/tex]
Thus, 1 and 80 are factors.
- Move to the next integer, which is 2:
- [tex]\( 2 \times 40 = 80 \)[/tex]
So, 2 and 40 are factors.
- Continue with the next integer, 4:
- [tex]\( 4 \times 20 = 80 \)[/tex]
Therefore, 4 and 20 are factors.
- Next, try 5:
- [tex]\( 5 \times 16 = 80 \)[/tex]
Hence, 5 and 16 are factors.
- Then try 8:
- [tex]\( 8 \times 10 = 80 \)[/tex]
Therefore, 8 and 10 are factors.
3. Gather all the factors: Combine all the factors identified from the steps above. Make sure not to miss any and verify that each factor divides 80 without leaving a remainder. Thus, the complete set of factors is:
- 1
- 2
- 4
- 5
- 8
- 10
- 16
- 20
- 40
- 80
So, the factors of 80 are:
[tex]\[ 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 \][/tex]
