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Last updated on May 26th, 2025

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Factors of -11

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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.

Factors of -11 for Filipino Students
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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

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How to Find Factors of -11?

Factors can be determined using different methods:

 

  • Finding factors using multiplication
  • Finding factors using the division method
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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.

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Prime Factors

The prime factor of -11 is 11, as it is the only prime number that divides -11 evenly.

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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).

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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

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Forgetting the number itself and 1 is a factor

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It's easy to forget that the number itself and 1 are always factors.

 

For example, 1 and -11 are both factors of -11.

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Factors of -11 Examples

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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?

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You will have -11 groups.

Explanation

By dividing -11 apples into groups of 1, each group will contain one apple.
-11 ÷ 1 = -11

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Max, the Girl Character from BrightChamps

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?

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There are -11 one-degree changes.

Explanation

The degree change is represented by -11 ÷ 1 = -11.

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Max, the Girl Character from BrightChamps

Problem 3

If you owe 11 people 1 dollar each, how much debt do you have in total?

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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

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Max, the Girl Character from BrightChamps

Problem 4

There are 11 boxes, each containing -1 item. How many items are there in total?

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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

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Max, the Girl Character from BrightChamps

Problem 5

If each of -1 baskets contains 11 apples, how many apples are there in total?

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There are -11 apples in total.

Explanation

Multiplying the number of baskets by the apples per basket equals:
-1 × 11 = -11

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FAQs on Factors of -11

1.What are the factors of -11?

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2.What is the prime factor of -11?

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3.Is -11 a multiple of any number?

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4.Mention the factor pairs of -11?

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5.What is the absolute value of -11?

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6.How can children in Philippines use numbers in everyday life to understand Factors of -11?

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7.What are some fun ways kids in Philippines can practice Factors of -11 with numbers?

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8.What role do numbers and Factors of -11 play in helping children in Philippines develop problem-solving skills?

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9.How can families in Philippines create number-rich environments to improve Factors of -11 skills?

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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.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, numbers are more than just digits—they open doors to countless opportunities! Our goal is to help kids across the Philippines build essential math skills, with today’s focus on Factors of -11 highlighting factors—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, tracking basketball scores, or managing their allowance to buy gadgets, strong number skills give them confidence for everyday tasks. Our hands-on lessons make learning simple and enjoyable. Since kids in the Philippines learn in different ways, we customize our approach to each child. From Manila’s busy streets to Palawan’s beautiful islands, BrightChamps brings math to life across the Philippines. Let’s make factors a fun part of every child’s math story!
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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