101 LearnersLast updated on May 26th, 2025
Factors of 11000
Factors are the numbers that divide any given number evenly without 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 11000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 11000?
The numbers that divide 11000 evenly are known as factors of 11000.
A factor of 11000 is a number that divides the number without remainder.
The factors of 11000 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 220, 275, 440, 500, 550, 1100, 1375, 2200, 2750, 5500, and 11000.
Negative factors of 11000: -1, -2, -4, -5, -8, -10, -11, -20, -22, -25, -40, -44, -50, -55, -88, -100, -110, -125, -220, -275, -440, -500, -550, -1100, -1375, -2200, -2750, -5500, and -11000.
Prime factors of 11000: 2, 5, and 11.
Prime factorization of 11000: 2³ × 5³ × 11.
The sum of factors of 11000: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 20 + 22 + 25 + 40 + 44 + 50 + 55 + 88 + 100 + 110 + 125 + 220 + 275 + 440 + 500 + 550 + 1100 + 1375 + 2200 + 2750 + 5500 + 11000 = 29568
How to Find Factors of 11000?
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 11000. Identifying the numbers which are multiplied to get the number 11000 is the multiplication method.
Step 1: Multiply 11000 by 1, 11000 × 1 = 11000.
Step 2: Check for other numbers that give 11000 after multiplying
2 × 5500 = 11000
4 × 2750 = 11000
5 × 2200 = 11000
8 × 1375 = 11000
10 × 1100 = 11000
11 × 1000 = 11000
Therefore, the positive factor pairs of 11000 are: (1, 11000), (2, 5500), (4, 2750), (5, 2200), (8, 1375), (10, 1100), (11, 1000).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 11000 by 1, 11000 ÷ 1 = 11000.
Step 2: Continue dividing 11000 by the numbers until the remainder becomes 0.
11000 ÷ 1 = 11000
11000 ÷ 2 = 5500
11000 ÷ 4 = 2750
11000 ÷ 5 = 2200
11000 ÷ 8 = 1375
11000 ÷ 10 = 1100
11000 ÷ 11 = 1000
Therefore, the factors of 11000 are: 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 220, 275, 440, 500, 550, 1100, 1375, 2200, 2750, 5500, 11000.
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 11000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
11000 ÷ 2 = 5500
5500 ÷ 2 = 2750
2750 ÷ 2 = 1375
1375 ÷ 5 = 275
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 11000 are 2, 5, and 11.
The prime factorization of 11000 is: 2³ × 5³ × 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, 11000 is divided by 2 to get 5500.
Step 2: Now divide 5500 by 2 to get 2750.
Step 3: Then divide 2750 by 2 to get 1375.
Step 4: Divide 1375 by 5 to get 275.
Step 5: Divide 275 by 5 to get 55.
Step 6: Divide 55 by 5 to get 11.
Here, 11 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 11000 is: 2³ × 5³ × 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 11000: (1, 11000), (2, 5500), (4, 2750), (5, 2200), (8, 1375), (10, 1100), (11, 1000).
Negative factor pairs of 11000: (-1, -11000), (-2, -5500), (-4, -2750), (-5, -2200), (-8, -1375), (-10, -1100), (-11, -1000).
Common Mistakes and How to Avoid Them in Factors of 11000
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 11000, 1 and 11000 are also factors.
Factors of 11000 Examples
Problem 1
There are 11 employees and 11000 dollars. How will they distribute it equally?
They will get 1000 dollars each.
Explanation
To divide the money equally, we need to divide the total dollars by the number of employees.
11000/11 = 1000
Problem 2
A garden is rectangular, the length of the garden is 50 meters and the total area is 11000 square meters. Find the width?
220 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
11000 = 50 × width
To find the value of width, we need to shift 50 to the left side.
11000/50 = width
Width = 220.
Problem 3
There are 25 boxes and 11000 candies. How many candies will be in each box?
Each box will have 440 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
11000/25 = 440
Problem 4
In a class, there are 11000 students, and 100 groups. How many students are there in each group?
There are 110 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
11000/100 = 110
Problem 5
11000 books need to be arranged in 20 shelves. How many books will go on each shelf?
Each of the shelves has 550 books.
Explanation
Divide total books by the number of shelves.
11000/20 = 550
FAQs on Factors of 11000
1.What are the factors of 11000?
2.Mention the prime factors of 11000.
3.Is 11000 a multiple of 5?
4.Mention the factor pairs of 11000?
5.What is the square of 11000?
6.How can children in Qatar use numbers in everyday life to understand Factors of 11000?
7.What are some fun ways kids in Qatar can practice Factors of 11000 with numbers?
8.What role do numbers and Factors of 11000 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 11000 skills?
Important Glossaries for Factor of 11000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 11000 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 220, 275, 440, 500, 550, 1100, 1375, 2200, 2750, 5500, and 11000.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 11 are prime factors of 11000.
- 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 11000 are (1, 11000), (2, 5500), etc.
- Prime factorization: The process of breaking down a number into its basic prime factors. For example, the prime factorization of 11000 is 2³ × 5³ × 11.
- Multiples: Multiples of a number are obtained by multiplying it with integers. For example, 11000 is a multiple of 5.
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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.
