100 LearnersLast updated on May 26th, 2025
Factors of 1812
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 1812, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1812?
The numbers that divide 1812 evenly are known as factors of 1812.
A factor of 1812 is a number that divides the number without remainder.
The factors of 1812 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324, 453, 906, and 1812.
Negative factors of 1812: -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, -324, -453, -906, and -1812.
Prime factors of 1812: 2, 3, and 151.
Prime factorization of 1812: 2 × 3² × 151.
The sum of factors of 1812: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 54 + 81 + 108 + 162 + 324 + 453 + 906 + 1812 = 3990
How to Find Factors of 1812?
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 1812. Identifying the numbers which are multiplied to get the number 1812 is the multiplication method.
Step 1: Multiply 1812 by 1, 1812 × 1 = 1812.
Step 2: Check for other numbers that give 1812 after multiplying
2 × 906 = 1812
3 × 604 = 1812
4 × 453 = 1812
6 × 302 = 1812
Therefore, the positive factor pairs of 1812 are: (1, 1812), (2, 906), (3, 604), (4, 453), and (6, 302).
All these factor pairs result in 1812.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 1812 by 1, 1812 ÷ 1 = 1812.
Step 2: Continue dividing 1812 by the numbers until the remainder becomes 0.
1812 ÷ 1 = 1812
1812 ÷ 2 = 906
1812 ÷ 3 = 604
1812 ÷ 4 = 453
1812 ÷ 6 = 302
Therefore, the factors of 1812 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324, 453, 906, 1812.
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 1812 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1812 ÷ 2 = 906
906 ÷ 3 = 302
302 ÷ 2 = 151
151 ÷ 151 = 1
The prime factors of 1812 are 2, 3, and 151.
The prime factorization of 1812 is: 2 × 3² × 151.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1812 is divided by 2 to get 906.
Step 2: Now divide 906 by 3 to get 302.
Step 3: Then divide 302 by 2 to get 151.
Step 4: 151 is a prime number and cannot be divided further.
So, the prime factorization of 1812 is: 2 × 3² × 151.
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 1812: (1, 1812), (2, 906), (3, 604), (4, 453), (6, 302).
Negative factor pairs of 1812: (-1, -1812), (-2, -906), (-3, -604), (-4, -453), (-6, -302).
Common Mistakes and How to Avoid Them in Factors of 1812
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 1812, 1 and 1812 are also factors.
Factors of 1812 Examples
Problem 1
There are 18 children and 1812 candies. How will they divide it equally?
They will get 101 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of children.
1812/18 = 101
Problem 2
A wall is rectangular, the length of the wall is 12 meters, and the total area is 1812 square meters. Find the width?
151 meters.
Explanation
To find the width of the wall, we use the formula,
Area = length × width
1812 = 12 × width
To find the value of width, we need to shift 12 to the left side.
1812/12 = width
Width = 151.
Problem 3
There are 27 boxes and 1812 toys. How many toys will be in each box?
Each box will have 67 toys.
Explanation
To find the toys in each box, divide the total toys by the number of boxes.
1812/27 = 67
Problem 4
In a company, there are 1812 employees, and they need to be arranged into 6 groups. How many employees are there in each group?
There are 302 employees in each group.
Explanation
Dividing the employees by the total groups, we will get the number of employees in each group.
1812/6 = 302
Problem 5
1812 flowers need to be arranged in 9 vases. How many flowers will go in each vase?
Each of the vases will have 201 flowers.
Explanation
Divide total flowers by vases.
1812/9 = 201
FAQs on Factors of 1812
1.What are the factors of 1812?
2.Mention the prime factors of 1812.
3.Is 1812 a multiple of 6?
4.Mention the factor pairs of 1812?
5.What is the square of 1812?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1812?
7.What are some fun ways kids in Thailand can practice Factors of 1812 with numbers?
8.What role do numbers and Factors of 1812 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1812 skills?
Important Glossaries for Factors of 1812
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1812 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324, 453, 906, and 1812.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 151 are prime factors of 1812.
- 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 1812 are (1, 1812), (2, 906), etc.
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1812 is 2 × 3² × 151.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method to find pairs like (2, 906) for 1812.
Explore More numbers
Previous to Factors of 1812
About BrightChamps in Thailand
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.
