116 LearnersLast updated on May 26th, 2025
Factors of -22
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.
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.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -22, 1 and -22 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of -22 consist of -1, -2, -11, and -22.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because -22/1.5 = -14.666, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of -22 are prime numbers.
For example, 2 and 11 are the prime factors of -22, but it has other factors like 22.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking -22 as -1 × 2 × 11 and missing all the key factors.
Factors of -22 Examples
Problem 1
There are 22 boxes and -22 apples. How will they distribute the apples equally?
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
Problem 2
A rectangular signboard has a length of 11 meters and a total area of -22 square meters. Find the width?
-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.
Problem 3
A group is distributing -22 candies among 11 people. How many candies will each person get?
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
Problem 4
A caterer is dividing -22 plates among 2 tables. How many plates will each table have?
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
Problem 5
There are -22 chairs to be placed in 1 row. How many chairs will be in the row?
There will be -22 chairs in the row.
Explanation
Divide the total chairs by the number of rows.
-22/1 = -22
FAQs on Factors of -22
1.What are the factors of -22?
2.Mention the prime factors of -22.
3.Is -22 a multiple of 2?
4.Mention the factor pairs of -22?
5.What is the absolute value of -22?
6.How can children in Thailand use numbers in everyday life to understand Factors of -22?
7.What are some fun ways kids in Thailand can practice Factors of -22 with numbers?
8.What role do numbers and Factors of -22 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of -22 skills?
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.
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About BrightChamps in Thailand
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.
