Last updated on May 26th, 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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 22 boxes and -22 apples. How will they distribute the apples equally?
Each box will get -1 apple.
To divide the apples equally, we need to divide the total apples by the number of boxes.
-22/22 = -1
A rectangular signboard has a length of 11 meters and a total area of -22 square meters. Find the width?
-2 meters.
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.
A group is distributing -22 candies among 11 people. How many candies will each person get?
Each person will get -2 candies.
To find the candies each person gets, divide the total candies by the number of people.
-22/11 = -2
A caterer is dividing -22 plates among 2 tables. How many plates will each table have?
Each table will have -11 plates.
Dividing the plates by the number of tables, we will get the number of plates on each table.
-22/2 = -11
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.
Divide the total chairs by the number of rows.
-22/1 = -22
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.
: She loves to read number jokes and games.