123 LearnersLast updated on May 26th, 2025
Factors of -11
Factors are the numbers that divide any given number evenly without remainder. Understanding factors is essential in mathematics and everyday situations, such as dividing tasks or resources equally. In this topic, we will explore the factors of -11, their significance, and tips to learn them quickly.
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.
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 3
Including Non-integers
Remember, only whole numbers can be factors. Fractions or decimals, such as thinking 1.5 could be a factor, are incorrect.
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?
6.How can children in Philippines use numbers in everyday life to understand Factors of -11?
7.What are some fun ways kids in Philippines can practice Factors of -11 with numbers?
8.What role do numbers and Factors of -11 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of -11 skills?
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.
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About BrightChamps in Philippines
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.
