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301 LearnersLast updated on December 12, 2025
Factors of -11
What are the Factors of -11?
The numbers that divide -11 evenly are known as factors of -11.
A factor of -11 is a number that divides the number without leaving a remainder.
The factors of -11 are 1, -1, 11, and -11.
Prime factors of 11: 11.
Since -11 is a negative number, its factors include both positive and negative pairs: (-1, 11) and (1, -11).
The sum of factors of -11: 1 + (-1) + 11 + (-11) = 0
How to Find Factors of -11?
Factors can be determined using different methods:
- Finding factors using multiplication
- Finding factors using the division method
Finding Factors Using Multiplication
To find factors using multiplication, identify pairs of numbers that multiply to give -11.
Step 1: Consider the number -11 and its multiplicative pairs.
Step 2: Check for pairs that multiply to -11:
-1 × 11 = -11
1 × (-11) = -11
Therefore, the factor pairs of -11 are: (-1, 11) and (1, -11). These pairs result in -11.
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Finding Factors Using Division Method
Divide -11 by whole numbers until the remainder becomes zero to find its factors.
Step 1: Divide -11 by 1, -11 ÷ 1 = -11.
Step 2: Check other divisions:
-11 ÷ (-1) = 11
-11 ÷ 11 = -1
-11 ÷ (-11) = 1
Therefore, the factors of -11 are: 1, -1, 11, and -11.
Prime Factors
The prime factor of -11 is 11, as it is the only prime number that divides -11 evenly.
Factor Pairs
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
For -11, the factor pairs are: (-1, 11) and (1, -11).
Common Mistakes and How to Avoid Them in Factors of -11
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
It's easy to forget that the number itself and 1 are always factors.
For example, 1 and -11 are both factors of -11.
Mistake 2
Missing Negative Factors
Negative factors are often overlooked. Always consider negative factors, such as -1 and -11 for the number -11.
Mistake 4
Confusing Factors With Multiples
Factors divide the number without a remainder, whereas multiples are products of the number with an integer. Do not confuse them.
Mistake 5
Mistake in Identifying Prime Factors
Ensure you correctly identify prime numbers. For -11, the only prime factor is 11.
Factors of -11 Examples
Problem 1
If there are -11 apples and you want to split them into equal groups of 1 apple each, how many groups will you have?
You will have -11 groups.
Explanation
By dividing -11 apples into groups of 1, each group will contain one apple.
-11 ÷ 1 = -11
Problem 2
If -11 degrees represent a drop in temperature, and each degree is represented by a 1-degree change, how many 1-degree changes are there?
There are -11 one-degree changes.
Explanation
The degree change is represented by -11 ÷ 1 = -11.
Problem 3
If you owe 11 people 1 dollar each, how much debt do you have in total?
You have a total debt of -11 dollars.
Explanation
Owing 1 dollar to each of 11 people results in a total of -11 dollars.
1 × (-11) = -11
Problem 4
There are 11 boxes, each containing -1 item. How many items are there in total?
There are -11 items in total.
Explanation
Multiplying the number of boxes by the number of items per box gives the total:
11 × (-1) = -11
Problem 5
If each of -1 baskets contains 11 apples, how many apples are there in total?
There are -11 apples in total.
Explanation
Multiplying the number of baskets by the apples per basket equals:
-1 × 11 = -11
FAQs on Factors of -11
1.What are the factors of -11?
2.What is the prime factor of -11?
3.Is -11 a multiple of any number?
4.Mention the factor pairs of -11?
5.What is the absolute value of -11?
Important Glossaries for Factor of -11
- Factors: Numbers dividing the given number without a remainder. For example, the factors of -11 are 1, -1, 11, and -11.
- Prime factors: The factors which are prime numbers. For -11, the prime factor is 11.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For -11, the factor pairs are (-1, 11) and (1, -11).
- Multiples: Products of a number and an integer. -11 is not a multiple of any number except for itself and one.
- Absolute value: The non-negative value of a number without regard to its sign. The absolute value of -11 is 11.
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
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