What are the factors of 128?
Understand the Problem
The question is asking for the factors of the number 128. To solve it, we will find all the whole numbers that divide 128 without leaving a remainder.
Answer
1, 2, 4, 8, 16, 32, 64, 128
Answer for screen readers
The factors of 128 are: 1, 2, 4, 8, 16, 32, 64, and 128.
Steps to Solve
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Identify the definition of factors Factors are the integers that can divide a number without leaving a remainder. Therefore, we need to find all the whole numbers that evenly divide 128.
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Start dividing from 1 to 128 Begin testing each whole number starting from 1. We will divide 128 by each number and check if the result is a whole number.
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List the factors Continue this process until reaching 128. If the division results in a whole number, add that number to the list of factors.
For instance, checking:
- ( 128 \div 1 = 128 ) (Factor)
- ( 128 \div 2 = 64 ) (Factor)
- ( 128 \div 4 = 32 ) (Factor)
- ( 128 \div 8 = 16 ) (Factor)
- ( 128 \div 16 = 8 ) (Factor)
- ( 128 \div 32 = 4 ) (Factor)
- ( 128 \div 64 = 2 ) (Factor)
- ( 128 \div 128 = 1 ) (Factor)
- Complete the list of factors At the end of this process, we will have found all the factors of 128.
The factors of 128 are: 1, 2, 4, 8, 16, 32, 64, and 128.
More Information
128 is a composite number, meaning it has factors other than 1 and itself. It is also a power of 2, specifically $2^7$. This is why its factors are all powers of 2.
Tips
- Forgetting to test all numbers up to 128.
- Misidentifying the factors by skipping some or not dividing properly.
