Find factors of 48.
Understand the Problem
The question is asking to identify the factors of the number 48. Factors are numbers that divide 48 without leaving a remainder, and they will include both positive and negative pairs of numbers.
Answer
The factors of 48 are: $ \pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 16, \pm 24, \pm 48 $
Answer for screen readers
The factors of 48 are: $ \pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 16, \pm 24, \pm 48 $
Steps to Solve
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Identify Possible Factors First, we need to find numbers that can divide 48 without leaving a remainder. We start with the number 1 and go up to 48.
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Test Divisibility For each number from 1 to 48, we will check if dividing 48 by that number gives a whole number (an integer) as the result.
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List Factors After testing divisibility, we'll list all the numbers that resulted in an integer.
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Include Negative Factors Since factors can be both positive and negative, we will add the negative counterparts of each positive factor to our list.
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Final Listing Finally, compile both the positive and negative factors into a complete list.
The factors of 48 are: $ \pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 16, \pm 24, \pm 48 $
More Information
The number 48 is a composite number and has a total of 10 positive factors. This means that there are multiple numbers that can multiply together to return 48. The study of factors is important in understanding multiplication and division, and also plays a key role in number theory.
Tips
- Miscounting factors: Some people might count the same factor more than once or miss a factor altogether. Always ensure to check each number systematically and keep a list.
- Forgetting negative factors: Factors include both positive and negative numbers. It's easy to remember only the positive factors and forget to list their negatives.
