101 LearnersLast updated on May 26th, 2025
Factors of 1122
Factors are the numbers that divide any given number evenly without a 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 1122, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1122?
The numbers that divide 1122 evenly are known as factors of 1122.
A factor of 1122 is a number that divides the number without a remainder.
The factors of 1122 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 187, 374, 561, and 1122.
Negative factors of 1122: -1, -2, -3, -6, -9, -18, -37, -74, -111, -222, -187, -374, -561, and -1122.
Prime factors of 1122: 2, 3, and 37.
Prime factorization of 1122: 2 × 3 × 187.
The sum of factors of 1122: 1 + 2 + 3 + 6 + 9 + 18 + 37 + 74 + 111 + 222 + 187 + 374 + 561 + 1122 = 2727
How to Find Factors of 1122?
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 1122. Identifying the numbers which are multiplied to get the number 1122 is the multiplication method.
Step 1: Multiply 1122 by 1, 1122 × 1 = 1122.
Step 2: Check for other numbers that give 1122 after multiplying
2 × 561 = 1122
3 × 374 = 1122
6 × 187 = 1122
9 × 124.666... (not a factor)
18 × 62.333... (not a factor)
Therefore, the positive factor pairs of 1122 are: (1, 1122), (2, 561), (3, 374), (6, 187).
All these factor pairs result in 1122.
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 1122 by 1, 1122 ÷ 1 = 1122.
Step 2: Continue dividing 1122 by the numbers until the remainder becomes 0.
1122 ÷ 1 = 1122
1122 ÷ 2 = 561
1122 ÷ 3 = 374
1122 ÷ 6 = 187
Therefore, the factors of 1122 are: 1, 2, 3, 6, 187, 374, 561, and 1122.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1122 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1122 ÷ 2 = 561
561 ÷ 3 = 187
187 ÷ 11 = 17
17 ÷ 17 = 1
The prime factors of 1122 are 2, 3, and 37.
The prime factorization of 1122 is: 2 × 3 × 187.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1122 is divided by 2 to get 561.
Step 2: Now divide 561 by 3 to get 187.
Step 3: Then divide 187 by 11 to get 17. Here, 17 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1122 is: 2 × 3 × 187.
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 1122: (1, 1122), (2, 561), (3, 374), (6, 187).
Negative factor pairs of 1122: (-1, -1122), (-2, -561), (-3, -374), (-6, -187).
Common Mistakes and How to Avoid Them in Factors of 1122
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 1122, 1 and 1122 are also factors.
Factors of 1122 Examples
Problem 1
There are 6 families and 1122 apples. How will they divide it equally?
They will get 187 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of families.
1122/6 = 187
Problem 2
A garden is rectangular, the width of the garden is 3 meters and the total area is 1122 square meters. Find the length?
374 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width 1122 = 3 × length
To find the value of length, we need to shift 3 to the left side.
1122/3 = length
Length = 374.
Problem 3
There are 18 tables and 1122 chairs. How many chairs will be at each table?
Each table will have 62 chairs.
Explanation
To find the chairs at each table, divide the total chairs by the tables.
1122/18 = 62
Problem 4
In a class, there are 1122 students, and 37 groups. How many students are there in each group?
There are 30 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1122/37 = 30
Problem 5
1122 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 374 books.
Explanation
Divide total books by shelves.
1122/3 = 374
FAQs on Factors of 1122
1.What are the factors of 1122?
2.Mention the prime factors of 1122.
3.Is 1122 a multiple of 9?
4.Mention the factor pairs of 1122?
5.What is the square of 1122?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1122?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1122 with numbers?
8.What role do numbers and Factors of 1122 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 1122 skills?
Important Glossaries for Factor of 1122
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1122 are 1, 2, 3, 6, 187, 374, 561, and 1122.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 37 are prime factors of 1122.
- 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 1122 are (1, 1122), (2, 561), etc.
- Prime factorization: The process of breaking down a number into its prime components is known as prime factorization. For example, 1122 = 2 × 3 × 187.
- Multiples: Numbers that can be divided by a given number without leaving a remainder. For example, 1122 is a multiple of 9.
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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.
