101 LearnersLast updated on May 26th, 2025
Factors of 4356
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 4356, how they are used in real life, and tips to learn them quickly.
What are the Factors of 4356?
The numbers that divide 4356 evenly are known as factors of 4356.
A factor of 4356 is a number that divides the number without remainder.
The factors of 4356 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 121, 242, 363, 484, 726, 1089, 1452, 2178, and 4356.
Negative factors of 4356: -1, -2, -3, -4, -6, -9, -12, -18, -36, -121, -242, -363, -484, -726, -1089, -1452, -2178, and -4356.
Prime factors of 4356: 2 and 3.
Prime factorization of 4356: 2² × 3² × 11².
The sum of factors of 4356: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 + 121 + 242 + 363 + 484 + 726 + 1089 + 1452 + 2178 + 4356 = 9102
How to Find Factors of 4356?
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 4356. Identifying the numbers which are multiplied to get the number 4356 is the multiplication method.
Step 1: Multiply 4356 by 1, 4356 × 1 = 4356.
Step 2: Check for other numbers that give 4356 after multiplying
2 × 2178 = 4356
3 × 1452 = 4356
4 × 1089 = 4356
6 × 726 = 4356
9 × 484 = 4356
12 × 363 = 4356
18 × 242 = 4356
36 × 121 = 4356
Therefore, the positive factor pairs of 4356 are: (1, 4356), (2, 2178), (3, 1452), (4, 1089), (6, 726), (9, 484), (12, 363), (18, 242), and (36, 121).
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 the simple division method
Step 1: Divide 4356 by 1, 4356 ÷ 1 = 4356.
Step 2: Continue dividing 4356 by the numbers until the remainder becomes 0.
4356 ÷ 1 = 4356
4356 ÷ 2 = 2178
4356 ÷ 3 = 1452
4356 ÷ 4 = 1089
4356 ÷ 6 = 726
4356 ÷ 9 = 484
4356 ÷ 12 = 363
4356 ÷ 18 = 242
4356 ÷ 36 = 121
Therefore, the factors of 4356 are: 1, 2, 3, 4, 6, 9, 12, 18, 36, 121, 242, 363, 484, 726, 1089, 1452, 2178, and 4356.
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 4356 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4356 ÷ 2 = 2178
2178 ÷ 2 = 1089
1089 ÷ 3 = 363
363 ÷ 3 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factors of 4356 are 2, 3, and 11.
The prime factorization of 4356 is: 2² × 3² × 11².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 4356 is divided by 2 to get 2178.
Step 2: Now divide 2178 by 2 to get 1089.
Step 3: Then divide 1089 by 3 to get 363.
Step 4: Divide 363 by 3 to get 121.
Step 5: Divide 121 by 11 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4356 is: 2² × 3² × 11².
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 4356: (1, 4356), (2, 2178), (3, 1452), (4, 1089), (6, 726), (9, 484), (12, 363), (18, 242), and (36, 121).
Negative factor pairs of 4356: (-1, -4356), (-2, -2178), (-3, -1452), (-4, -1089), (-6, -726), (-9, -484), (-12, -363), (-18, -242), and (-36, -121).
Common Mistakes and How to Avoid Them in Factors of 4356
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 4356, 1 and 4356 are also factors.
Factors of 4356 Examples
Problem 1
There are 18 teams and 4356 points to distribute. How many points will each team get?
Each team will get 242 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
4356/18 = 242
Problem 2
A garden is rectangular, the length of the garden is 9 meters and the total area is 4356 square meters. Find the width.
484 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
4356 = 9 × width
To find the value of width, we need to shift 9 to the left side.
4356/9 = width
Width = 484.
Problem 3
There are 36 boxes and 4356 items. How many items will be in each box?
Each box will have 121 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
4356/36 = 121
Problem 4
In a company, there are 726 employees, and 6 departments. How many employees are there in each department?
There are 121 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department.
726/6 = 121
Problem 5
4356 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 396 books.
Explanation
Divide total books by shelves.
4356/11 = 396
FAQs on Factors of 4356
1.What are the factors of 4356?
2.Mention the prime factors of 4356.
3.Is 4356 a multiple of 12?
4.Mention the factor pairs of 4356.
5.What is the square of 4356?
6.How can children in India use numbers in everyday life to understand Factors of 4356?
7.What are some fun ways kids in India can practice Factors of 4356 with numbers?
8.What role do numbers and Factors of 4356 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 4356 skills?
Important Glossaries for Factors of 4356
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4356 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 121, 242, 363, 484, 726, 1089, 1452, 2178, and 4356.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 11 are prime factors of 4356.
- 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 4356 are (1, 4356), (2, 2178), etc.
- Prime factorization: Writing a number as a product of its prime factors. For example, the prime factorization of 4356 is 2² × 3² × 11².
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 4356 is a multiple of 12.
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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.
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