To determine the factors of 112, let's break it down step-by-step:
1. Understanding Factors: Factors of a number are integers that you can multiply together to get that number. For example, factors of 12 are 1, 2, 3, 4, 6, and 12 because:
- 1 × 12 = 12
- 2 × 6 = 12
- 3 × 4 = 12
2. Finding Factors of 112: To find all the factors of 112, we start by testing all whole numbers from 1 up to 112. We check if each number divides 112 without leaving a remainder.
3. Testing Each Number:
- 1 is a factor because [tex]\( 112 \div 1 = 112 \)[/tex]
- 2 is a factor because [tex]\( 112 \div 2 = 56 \)[/tex]
- 4 is a factor because [tex]\( 112 \div 4 = 28 \)[/tex]
- 7 is a factor because [tex]\( 112 \div 7 = 16 \)[/tex]
- 8 is a factor because [tex]\( 112 \div 8 = 14 \)[/tex]
- 14 is a factor because [tex]\( 112 \div 14 = 8 \)[/tex]
- 16 is a factor because [tex]\( 112 \div 16 = 7 \)[/tex]
- 28 is a factor because [tex]\( 112 \div 28 = 4 \)[/tex]
- 56 is a factor because [tex]\( 112 \div 56 = 2 \)[/tex]
- 112 is a factor because [tex]\( 112 \div 112 = 1 \)[/tex]
4. Compiling the Results: Collecting all the numbers that evenly divide 112, we get the list of factors.
Therefore, the factors of 112 are:
[tex]\[1, 2, 4, 7, 8, 14, 16, 28, 56, 112\][/tex]
These are the numbers that you can multiply in pairs to get 112.
