122 LearnersLast updated on May 26th, 2025
Factors of -220
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.
What are the Factors of -220?
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
How to Find Factors of -220?
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 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.
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 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.
Prime Factors and Prime Factorization
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
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of -220
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 the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of -220, 1 and -220 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of -220 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 220/1.5 = 146.666, 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 -220 are prime numbers.
For example, 2, 5, and 11 are the prime factors of 220, but it also has other factors like 4 and 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 220 as 2^2 × 5 × 11 and missing key factors.
Factors of -220 Examples
Problem 1
There are 220 apples and 10 baskets. How will they divide them equally?
They will get 22 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
220/10 = 22
Problem 2
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.
Explanation
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.
Problem 3
There are 5 trucks and 220 boxes. How many boxes will be in each truck?
Each truck will have 44 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the number of trucks.
220/5 = 44
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
220/11 = 20
Problem 5
220 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 55 books.
Explanation
Divide the total books by shelves. 220/4 = 55
FAQs on Factors of -220
1.What are the factors of -220?
2.Mention the prime factors of -220.
3.Is -220 a multiple of 5?
4.Mention the factor pairs of -220?
5.What is the square of 220?
6.How can children in Qatar use numbers in everyday life to understand Factors of -220?
7.What are some fun ways kids in Qatar can practice Factors of -220 with numbers?
8.What role do numbers and Factors of -220 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of -220 skills?
Important Glossaries for Factors of -220
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 11 are prime factors of 220.
- 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 220 are (1, 220), (2, 110), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 220 is 2^2 × 5 × 11.
- Divisibility: A number is divisible by another if dividing them yields a whole number. For example, 220 is divisible by 2, 5, and 11.
Explore More numbers
About BrightChamps in Qatar
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.
