102 LearnersLast updated on May 26th, 2025
Factors of 1110
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 1110, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1110?
The numbers that divide 1110 evenly are known as factors of 1110.
A factor of 1110 is a number that divides the number without remainder.
The factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, and 1110.
Negative factors of 1110: -1, -2, -3, -5, -6, -10, -15, -30, -37, -74, -111, -185, -222, -370, -555, and -1110.
Prime factors of 1110: 2, 3, 5, and 37.
Prime factorization of 1110: 2 × 3 × 5 × 37.
The sum of factors of 1110: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 + 37 + 74 + 111 + 185 + 222 + 370 + 555 + 1110 = 2736
How to Find Factors of 1110?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1110. Identifying the numbers which are multiplied to get the number 1110 is the multiplication method.
Step 1: Multiply 1110 by 1, 1110 × 1 = 1110.
Step 2: Check for other numbers that give 1110 after multiplying
2 × 555 = 1110
3 × 370 = 1110
5 × 222 = 1110
6 × 185 = 1110
10 × 111 = 1110
15 × 74 = 1110
30 × 37 = 1110
Therefore, the positive factor pairs of 1110 are: (1, 1110), (2, 555), (3, 370), (5, 222), (6, 185), (10, 111), (15, 74), (30, 37).
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 the simple division method
Step 1: Divide 1110 by 1, 1110 ÷ 1 = 1110.
Step 2: Continue dividing 1110 by the numbers until the remainder becomes 0.
1110 ÷ 1 = 1110
1110 ÷ 2 = 555
1110 ÷ 3 = 370
1110 ÷ 5 = 222
1110 ÷ 6 = 185
1110 ÷ 10 = 111
1110 ÷ 15 = 74
1110 ÷ 30 = 37
Therefore, the factors of 1110 are: 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 1110 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1110 ÷ 2 = 555
555 ÷ 3 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
The prime factors of 1110 are 2, 3, 5, and 37.
The prime factorization of 1110 is: 2 × 3 × 5 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1110 is divided by 2 to get 555.
Step 2: Now divide 555 by 3 to get 185.
Step 3: Then divide 185 by 5 to get 37. Here, 37 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1110 is: 2 × 3 × 5 × 37.
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 1110: (1, 1110), (2, 555), (3, 370), (5, 222), (6, 185), (10, 111), (15, 74), (30, 37).
Negative factor pairs of 1110: (-1, -1110), (-2, -555), (-3, -370), (-5, -222), (-6, -185), (-10, -111), (-15, -74), (-30, -37).
Common Mistakes and How to Avoid Them in Factors of 1110
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1110, 1 and 1110 are also factors.
Factors of 1110 Examples
Problem 1
There are 37 teams and 1110 participants. How will they divide equally among teams?
They will get 30 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1110/37 = 30
Problem 2
A rectangular garden has a length of 30 meters and a total area of 1110 square meters. Find the width.
37 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1110 = 30 × width
To find the value of width, divide 1110 by 30.
1110/30 = width
Width = 37.
Problem 3
There are 6 containers and 1110 liters of oil. How much oil will be in each container?
Each container will hold 185 liters of oil.
Explanation
To find the oil in each container, divide the total oil by the number of containers.
1110/6 = 185
Problem 4
A company has 1110 employees working in 15 departments. How many employees are there in each department?
There are 74 employees in each department.
Explanation
Dividing the employees by the total departments will give the number of employees in each department.
1110/15 = 74
Problem 5
1110 books need to be placed on 10 shelves. How many books will go on each shelf?
Each of the shelves will have 111 books.
Explanation
Divide the total books by the shelves.
1110/10 = 111
FAQs on Factors of 1110
1.What are the factors of 1110?
2.Mention the prime factors of 1110.
3.Is 1110 a multiple of 37?
4.Mention the factor pairs of 1110?
5.What is the square of 1110?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1110?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1110 with numbers?
8.What role do numbers and Factors of 1110 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1110 skills?
Important Glossaries for Factor of 1110
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, and 1110.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 37 are prime factors of 1110.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1110 is 2 × 3 × 5 × 37.
- 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 1110 are (1, 1110), (2, 555), etc.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number. For example, 2 × 555 = 1110.
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About BrightChamps in United Arab Emirates
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.
