What are the factors of 110?
Understand the Problem
The question is asking for the factors of the number 110, which means we need to identify all the integers that can divide 110 without leaving a remainder.
Answer
The factors of 110 are: $1, 2, 5, 10, 11, 22, 55, 110$.
Answer for screen readers
The factors of 110 are: $1, 2, 5, 10, 11, 22, 55, 110$.
Steps to Solve
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Identify the number to factor We are given the number 110 and need to find its factors.
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Check integers from 1 to 110 We will check each integer from 1 to 110 to see if it divides 110 evenly (i.e., with no remainder).
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Use division to find factors For each integer $n$ from 1 to 110, we check if $110 \mod n = 0$. If it does, then $n$ is a factor of 110.
Here’s the check for some integers:
- For $n = 1$: $110 \mod 1 = 0$, so 1 is a factor.
- For $n = 2$: $110 \mod 2 = 0$, so 2 is a factor.
- For $n = 5$: $110 \mod 5 = 0$, so 5 is a factor.
- For $n = 10$: $110 \mod 10 = 0$, so 10 is a factor.
- Continuing this until $n = 110$.
- List all found factors After testing all integers, we compile a list of all integers that successfully yielded a remainder of zero.
The factors of 110 are: $1, 2, 5, 10, 11, 22, 55, 110$.
More Information
Factors are integers that can divide another integer without leaving a remainder. The process of finding factors is essential in many areas of mathematics, including simplifying fractions and finding greatest common divisors.
Tips
- Not Testing All Integers: One common mistake is stopping the factor search too early. Always check all integers up to the number itself.
- Forgetting to Include 1 and the Number: Always remember that 1 and the number itself are factors of any integer.
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