101 LearnersLast updated on May 26th, 2025
Factors of 1124
Factors are the numbers that divide any given number evenly without a 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 1124, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1124?
The numbers that divide 1124 evenly are known as factors of 1124.
A factor of 1124 is a number that divides the number without a remainder.
The factors of 1124 are 1, 2, 4, 281, 562, and 1124.
Negative factors of 1124: -1, -2, -4, -281, -562, and -1124.
Prime factors of 1124: 2 and 281.
Prime factorization of 1124: 22 × 281.
The sum of factors of 1124: 1 + 2 + 4 + 281 + 562 + 1124 = 1974
How to Find Factors of 1124?
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 1124. Identifying the numbers that are multiplied to get the number 1124 is the multiplication method.
Step 1: Multiply 1124 by 1, 1124 × 1 = 1124.
Step 2: Check for other numbers that give 1124 after multiplying
2 × 562 = 1124
4 × 281 = 1124
Therefore, the positive factor pairs of 1124 are: (1, 1124), (2, 562), (4, 281).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 1124 by 1, 1124 ÷ 1 = 1124.
Step 2: Continue dividing 1124 by the numbers until the remainder becomes 0.
1124 ÷ 1 = 1124
1124 ÷ 2 = 562
1124 ÷ 4 = 281
Therefore, the factors of 1124 are: 1, 2, 4, 281, 562, 1124.
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 1124 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1124 ÷ 2 = 562
562 ÷ 2 = 281
281 ÷ 281 = 1
The prime factors of 1124 are 2 and 281.
The prime factorization of 1124 is: 22 × 281.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1124 is divided by 2 to get 562.
Step 2: Now divide 562 by 2 to get 281.
Step 3: Here, 281 is a prime number and cannot be divided further. So, the prime factorization of 1124 is: 22 × 281.
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 1124: (1, 1124), (2, 562), (4, 281).
Negative factor pairs of 1124: (-1, -1124), (-2, -562), (-4, -281).
Common Mistakes and How to Avoid Them in Factors of 1124
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 1124, 1 and 1124 are also factors.
Factors of 1124 Examples
Problem 1
There are 4 teams and 1124 apples. How will they divide it equally?
They will get 281 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
1124/4 = 281
Problem 2
A rectangular garden has a length of 281 meters and a total area of 1124 square meters. Find the width.
4 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1124 = 281 × width
To find the value of width, we need to shift 281 to the left side.
1124/281 = width
Width = 4.
Problem 3
There are 562 candies and 2 children. How many candies will each child get?
Each child will get 281 candies.
Explanation
To find the candies each child gets, divide the total candies by the number of children.
562/2 = 281
Problem 4
A box contains 1124 marbles, and there are 562 compartments. How many marbles are there in each compartment?
There are 2 marbles in each compartment.
Explanation
Dividing the total marbles by the total compartments, we will get the number of marbles in each compartment.
1124/562 = 2
Problem 5
1124 pages need to be divided into 281 notebooks. How many pages will go in each notebook?
Each notebook will have 4 pages.
Explanation
Divide total pages by the number of notebooks.
1124/281 = 4
FAQs on Factors of 1124
1.What are the factors of 1124?
2.Mention the prime factors of 1124.
3.Is 1124 a multiple of 4?
4.Mention the factor pairs of 1124?
5.What is the square of 1124?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1124?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1124 with numbers?
8.What role do numbers and Factors of 1124 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 1124 skills?
Important Glossaries for Factors of 1124
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1124 are 1, 2, 4, 281, 562, and 1124.
- Prime factors: The factors which are prime numbers. For example, 2 and 281 are prime factors of 1124.
- 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 1124 are (1, 1124), (2, 562), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For 1124, it is 22 × 281.
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied to get the original number. For example, 2 × 562 = 1124.
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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.
