Factors of -22
2026-02-28 11:02 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-minus-22

210 Learners

Last updated on December 12, 2025

Factors are numbers that divide a given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of -22, how they are used in real life, and tips to learn them quickly.

What are the Factors of -22?

The numbers that divide -22 evenly are known as factors of -22.

A factor of -22 is a number that divides the number without a remainder.

The factors of -22 are 1, 2, 11, and 22.

Negative factors of -22: -1, -2, -11, and -22.

Prime factors of -22: 2 and 11.
 

Prime factorization of -22: -1 × 2 × 11.

The sum of factors of -22: 1 + 2 + 11 + 22 = 36

How to Find Factors of -22?

Factors can be found using different methods. Mentioned below are some commonly used methods:

  • Finding factors using multiplication
     
  • Finding factors using division method
     
  • Prime factors and Prime factorization

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -22. Identifying the numbers that are multiplied to get the number -22 is the multiplication method.

Step 1: Multiply -22 by 1, -22 × 1 = -22.

Step 2: Check for other numbers that give -22 after multiplying

-2 × 11 = -22

-11 × 2 = -22

Therefore, the positive factor pairs of -22 are: (1, -22), (2, -11).

All these factor pairs result in -22. For every positive factor, there is a negative factor.

Explore Our Programs

Finding Factors Using Division Method

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method

Step 1: Divide -22 by 1, -22 ÷ 1 = -22.

Step 2: Continue dividing -22 by the numbers until the remainder becomes 0.

-22 ÷ 1 = -22

-22 ÷ 2 = -11

-22 ÷ 11 = -2

Therefore, the factors of -22 are: 1, 2, 11, -22.

Prime Factors and Prime Factorization

The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:

Using prime factorization

Using factor tree

Using Prime Factorization: In this process, prime factors of -22 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

-22 ÷ -1 = 22

22 ÷ 2 = 11

11 ÷ 11 = 1

The prime factors of -22 are 2 and 11.

The prime factorization of -22 is: -1 × 2 × 11.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

Step 1: Firstly, -22 is divided by -1 to get 22.

Step 2: Now divide 22 by 2 to get 11.

Step 3: Divide 11 by 11. So, the prime factorization of -22 is: -1 × 2 × 11.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

Positive factor pairs of -22: (1, -22), (2, -11).

Negative factor pairs of -22: (-1, 22), (-2, 11).

Common Mistakes and How to Avoid Them in Factors of -22

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Problem 1

There are 22 boxes and -22 apples. How will they distribute the apples equally?

Okay, lets begin

Each box will get -1 apple.

Explanation

To divide the apples equally, we need to divide the total apples by the number of boxes.
-22/22 = -1

Well explained 👍

Problem 2

A rectangular signboard has a length of 11 meters and a total area of -22 square meters. Find the width?

Okay, lets begin

-2 meters.

Explanation

To find the width of the signboard, we use the formula,
Area = length × width
-22 = 11 × width
To find the value of width, we need to shift 11 to the left side.
-22/11 = width
Width = -2.

Well explained 👍

Problem 3

A group is distributing -22 candies among 11 people. How many candies will each person get?

Okay, lets begin

Each person will get -2 candies.

Explanation

To find the candies each person gets, divide the total candies by the number of people.
-22/11 = -2

Well explained 👍

Problem 4

A caterer is dividing -22 plates among 2 tables. How many plates will each table have?

Okay, lets begin

Each table will have -11 plates.

Explanation

Dividing the plates by the number of tables, we will get the number of plates on each table.
-22/2 = -11

Well explained 👍

Problem 5

There are -22 chairs to be placed in 1 row. How many chairs will be in the row?

Okay, lets begin

There will be -22 chairs in the row.

Explanation

Divide the total chairs by the number of rows.
-22/1 = -22

Well explained 👍

FAQs on Factors of -22

1.What are the factors of -22?

1, 2, 11, and 22 are the factors of -22.

2.Mention the prime factors of -22.

The prime factors of -22 are -1 × 2 × 11.

3.Is -22 a multiple of 2?

4.Mention the factor pairs of -22?

(1, -22), (2, -11) are the factor pairs of -22.

5.What is the absolute value of -22?

Important Glossaries for Factor of -22

  • Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -22 are 1, 2, 11, and 22.
     
  • Prime factors: The factors which are prime numbers. For example, 2 and 11 are prime factors of -22.
     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of -22 are (1, -22), (2, -11).
     
  • Negative factors: Negative numbers that divide the given number without a remainder. For example, -1, -2, -11, and -22 are negative factors of -22.
     
  • Absolute value: The non-negative value of a number without regard to its sign. For example, the absolute value of -22 is 22.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.