103 LearnersLast updated on May 26th, 2025
Factors of 1128
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 1128, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1128?
The numbers that divide 1128 evenly are known as factors of 1128.
A factor of 1128 is a number that divides the number without remainder.
The factors of 1128 are 1, 2, 3, 4, 6, 9, 12, 18, 28, 36, 56, 84, 141, 188, 282, 376, 564, and 1128.
Negative factors of 1128: -1, -2, -3, -4, -6, -9, -12, -18, -28, -36, -56, -84, -141, -188, -282, -376, -564, and -1128.
Prime factors of 1128: 2, 3, and 47.
Prime factorization of 1128: 2³ × 3² × 47.
The sum of factors of 1128: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 28 + 36 + 56 + 84 + 141 + 188 + 282 + 376 + 564 + 1128 = 2930
How to Find Factors of 1128?
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 1128. Identifying the numbers which are multiplied to get the number 1128 is the multiplication method.
Step 1: Multiply 1128 by 1, 1128 × 1 = 1128.
Step 2: Check for other numbers that give 1128 after multiplying
2 × 564 = 1128
3 × 376 = 112
8 4 × 282 = 1128
6 × 188 = 1128
9 × 141 = 1128
12 × 94 = 1128
18 × 62 = 1128
28 × 40 = 1128
Therefore, the positive factor pairs of 1128 are: (1, 1128), (2, 564), (3, 376), (4, 282), (6, 188), (9, 141), (12, 94), (18, 62), (28, 40).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1128 by 1, 1128 ÷ 1 = 1128.
Step 2: Continue dividing 1128 by numbers until the remainder becomes 0.
1128 ÷ 1 = 1128
1128 ÷ 2 = 564
1128 ÷ 3 = 376
1128 ÷ 4 = 282
1128 ÷ 6 = 188
1128 ÷ 9 = 141
1128 ÷ 12 = 94
1128 ÷ 18 = 62
1128 ÷ 28 = 40
Therefore, the factors of 1128 are: 1, 2, 3, 4, 6, 9, 12, 18, 28, 36, 56, 84, 141, 188, 282, 376, 564, and 1128.
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 1128 divide the number to break it down into the multiplication form of prime factors until the remainder becomes 1.
1128 ÷ 2 = 564
564 ÷ 2 = 282
282 ÷ 2 = 141
141 ÷ 3 = 47
47 ÷ 47 = 1
The prime factors of 1128 are 2, 3, and 47.
The prime factorization of 1128 is: 2³ × 3² × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1128 is divided by 2 to get 564.
Step 2: Now divide 564 by 2 to get 282.
Step 3: Then divide 282 by 2 to get 141.
Step 4: Divide 141 by 3 to get 47. Here, 47 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1128 is: 2³ × 3² × 47.
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 1128: (1, 1128), (2, 564), (3, 376), (4, 282), (6, 188), (9, 141), (12, 94), (18, 62), (28, 40).
Negative factor pairs of 1128: (-1, -1128), (-2, -564), (-3, -376), (-4, -282), (-6, -188), (-9, -141), (-12, -94), (-18, -62), (-28, -40).
Common Mistakes and How to Avoid Them in Factors of 1128
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 1128, 1 and 1128 are also factors.
Factors of 1128 Examples
Problem 1
There are 18 friends and 1128 candies. How will they divide it equally?
They will get 62 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1128/18 = 62
Problem 2
A field is rectangular, the length of the field is 28 meters and the total area is 1128 square meters. Find the width?
40 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width 1128 = 28 × width
To find the value of width, we need to shift 28 to the left side.
1128/28 = width
Width = 40.
Problem 3
There are 4 buses and 1128 passengers. How many passengers will be in each bus?
Each bus will have 282 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the number of buses.
1128/4 = 282
Problem 4
In a conference, there are 141 participants and 9 groups. How many participants are there in each group?
There are 15 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
141/9 = 15
Problem 5
1128 pages need to be printed in 12 batches. How many pages will go in each batch?
Each batch has 94 pages.
Explanation
Divide total pages by batches.
1128/12 = 94
FAQs on Factors of 1128
1.What are the factors of 1128?
2.Mention the prime factors of 1128.
3.Is 1128 a multiple of 18?
4.Mention the factor pairs of 1128?
5.What is the square of 1128?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1128?
7.What are some fun ways kids in Vietnam can practice Factors of 1128 with numbers?
8.What role do numbers and Factors of 1128 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1128 skills?
Important Glossaries for Factor of 1128
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1128 are 1, 2, 3, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 47 are prime factors of 1128.
- 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 1128 are (1, 1128), (2, 564), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, 1128 is expressed as 2³ × 3² × 47.
- Division method: A method to find factors by dividing the number by integers to see if the result is a whole number.
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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.
