101 LearnersLast updated on May 26th, 2025
Factors of 1821
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 1821, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1821?
The numbers that divide 1821 evenly are known as factors of 1821.
A factor of 1821 is a number that divides the number without remainder.
The factors of 1821 are 1, 3, 607, and 1821.
Negative factors of 1821: -1, -3, -607, and -1821.
Prime factors of 1821: 3 and 607.
Prime factorization of 1821: 3 × 607.
The sum of factors of 1821: 1 + 3 + 607 + 1821 = 2432
How to Find Factors of 1821?
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 1821. Identifying the numbers which are multiplied to get the number 1821 is the multiplication method.
Step 1: Multiply 1821 by 1, 1821 × 1 = 1821.
Step 2: Check for other numbers that give 1821 after multiplying
3 × 607 = 1821
Therefore, the positive factor pairs of 1821 are: (1, 1821) and (3, 607).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Divide the given numbers by whole numbers until the remainder becomes zero, and list out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1821 by 1, 1821 ÷ 1 = 1821.
Step 2: Continue dividing 1821 by the numbers until the remainder becomes 0.
1821 ÷ 1 = 1821
1821 ÷ 3 = 607
Therefore, the factors of 1821 are: 1, 3, 607, 1821.
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 factor tree
Using Prime Factorization: In this process, prime factors of 1821 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1821 ÷ 3 = 607
607 ÷ 607 = 1
The prime factors of 1821 are 3 and 607.
The prime factorization of 1821 is: 3 × 607.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1821 is divided by 3 to get 607.
Step 2: Now divide 607 by 607. Here, 607 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1821 is: 3 × 607.
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 1821: (1, 1821) and (3, 607).
Negative factor pairs of 1821: (-1, -1821) and (-3, -607).
Common Mistakes and How to Avoid Them in Factors of 1821
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 1821, 1 and 1821 are also factors.
Factors of 1821 Examples
Problem 1
There are 3 friends and 1821 chocolates. How will they divide them equally?
They will get 607 chocolates each.
Explanation
To divide the chocolates equally, we need to divide the total chocolates by the number of friends.
1821/3 = 607
Problem 2
A rectangular plot of land has a length of 607 meters and a total area of 1821 square meters. Find the width.
3 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1821 = 607 × width
To find the value of width, we need to divide 1821 by 607.
1821/607 = width
Width = 3.
Problem 3
There are 1821 apples that need to be packed into boxes of 607 apples each. How many boxes are needed?
3 boxes.
Explanation
To find the number of boxes, divide the total apples by the number of apples in each box.
1821/607 = 3
Problem 4
A stadium has 1821 seats, and they need to be divided into 3 sections. How many seats will each section have?
Each section will have 607 seats.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1821/3 = 607
Problem 5
A library has 1821 books that need to be arranged in 3 categories. How many books will go in each category?
Each category will have 607 books.
Explanation
Divide the total books by categories.
1821/3 = 607
FAQs on Factors of 1821
1.What are the factors of 1821?
2.Mention the prime factors of 1821.
3.Is 1821 a multiple of 3?
4.Mention the factor pairs of 1821?
5.What is the square of 1821?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1821?
7.What are some fun ways kids in Thailand can practice Factors of 1821 with numbers?
8.What role do numbers and Factors of 1821 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1821 skills?
Important Glossaries for Factors of 1821
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1821 are 1, 3, 607, and 1821.
- Prime factors: The factors which are prime numbers. For example, 3 and 607 are prime factors of 1821.
- 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 1821 are (1, 1821) and (3, 607).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1821 is 3 × 607.
- Negative factors: Negative numbers that divide the given number without leaving a remainder. For example, the negative factors of 1821 are -1, -3, -607, and -1821.
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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.
