Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of -220, how they are used in real life, and the tips to learn them quickly.
The numbers that divide -220 evenly are known as factors of -220.
A factor of -220 is a number that divides the number without remainder.
The positive factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220.
Negative factors of -220: -1, -2, -4, -5, -10, -11, -20, -22, -44, -55, -110, and -220.
Prime factors of 220: 2, 5, and 11.
Prime factorization of 220: 22 × 5 × 11.
The sum of factors of 220: 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110 + 220 = 504
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 220. Identifying the numbers which are multiplied to get the number 220 is the multiplication method.
Step 1: Multiply 220 by 1, 220 × 1 = 220.
Step 2: Check for other numbers that give 220 after multiplying
2 × 110 = 220
4 × 55 = 220
5 × 44 = 220
10 × 22 = 220
11 × 20 = 220
Therefore, the positive factor pairs of 220 are: (1, 220), (2, 110), (4, 55), (5, 44), (10, 22), (11, 20).
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 220 by 1, 220 ÷ 1 = 220.
Step 2: Continue dividing 220 by the numbers until the remainder becomes 0.
220 ÷ 1 = 220
220 ÷ 2 = 110
220 ÷ 4 = 55
220 ÷ 5 = 44
220 ÷ 10 = 22
220 ÷ 11 = 20
Therefore, the factors of 220 are: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220.
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 220 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
220 ÷ 2 = 110
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 220 are 2, 5, and 11.
The prime factorization of 220 is: 2^2 × 5 × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 220 is divided by 2 to get 110.
Step 2: Now divide 110 by 2 to get 55.
Step 3: Then divide 55 by 5 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 220 is: 22 × 5 × 11.
Factor Pairs Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 220: (1, 220), (2, 110), (4, 55), (5, 44), (10, 22), (11, 20).
Negative factor pairs of -220: (-1, -220), (-2, -110), (-4, -55), (-5, -44), (-10, -22), (-11, -20).
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 220 apples and 10 baskets. How will they divide them equally?
They will get 22 apples each.
To divide the apples equally, we need to divide the total apples by the number of baskets.
220/10 = 22
A field is rectangular, the length of the field is 11 meters and the total area is 220 square meters. Find the width.
20 meters.
To find the width of the field, we use the formula, Area = length × width 220 = 11 × width
To find the value of width, we need to shift 11 to the left side.
220/11 = width Width = 20.
There are 5 trucks and 220 boxes. How many boxes will be in each truck?
Each truck will have 44 boxes.
To find the boxes in each truck, divide the total boxes by the number of trucks.
220/5 = 44
In a class, there are 220 students, and 11 groups. How many students are there in each group?
There are 20 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
220/11 = 20
220 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 55 books.
Divide the total books by shelves. 220/4 = 55
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.