100 LearnersLast updated on May 26th, 2025
Factors of 1827
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1827, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1827?
The numbers that divide 1827 evenly are known as factors of 1827.
A factor of 1827 is a number that divides the number without remainder.
The factors of 1827 are 1, 3, 19, 27, 57, 171, 609, and 1827.
Negative factors of 1827: -1, -3, -19, -27, -57, -171, -609, and -1827.
Prime factors of 1827: 3 and 19.
Prime factorization of 1827: 3 × 19 × 27.
The sum of factors of 1827: 1 + 3 + 19 + 27 + 57 + 171 + 609 + 1827 = 2714
How to Find Factors of 1827?
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 1827. Identifying the numbers which are multiplied to get the number 1827 is the multiplication method.
Step 1: Multiply 1827 by 1, 1827 × 1 = 1827.
Step 2: Check for other numbers that give 1827 after multiplying
3 × 609 = 1827
19 × 97 = 1827
27 × 67.6667 (does not work)
Other combinations will not yield whole numbers.
Therefore, the positive factor pairs of 1827 are: (1, 1827), (3, 609), (19, 97).
All these factor pairs result in 1827.
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 results as whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1827 by 1, 1827 ÷ 1 = 1827.
Step 2: Continue dividing 1827 by the numbers until the remainder becomes 0.
1827 ÷ 1 = 1827
1827 ÷ 3 = 609
1827 ÷ 19 = 97
1827 ÷ 27 = 67
.6667 (does not work)
Therefore, the factors of 1827 are: 1, 3, 19, 27, 57, 171, 609, 1827.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 1827 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1827 ÷ 3 = 609
609 ÷ 3 = 203
203 ÷ 19 = 19
19 ÷ 19 = 1
The prime factors of 1827 are 3 and 19.
The prime factorization of 1827 is: 3 × 3 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1827 is divided by 3 to get 609.
Step 2: Now divide 609 by 3 to get 203.
Step 3: Then divide 203 by 19 to get 19.
Here, 19 is a prime number and cannot be divided anymore.
So, the prime factorization of 1827 is: 3 × 3 × 19.
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 1827: (1, 1827), (3, 609), (19, 97).
Negative factor pairs of 1827: (-1, -1827), (-3, -609), (-19, -97).
Common Mistakes and How to Avoid Them in Factors of 1827
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 1827, 1 and 1827 are also factors.
Factors of 1827 Examples
Problem 1
There are 3 friends and 1827 apples. How will they divide it equally?
They will get 609 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
1827/3 = 609
Problem 2
A garden is rectangular, the length of the garden is 19 meters and the total area is 1827 square meters. Find the width.
The width is 97 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1827 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1827/19 = width
Width = 97.
Problem 3
There are 171 bags and 1827 marbles. How many marbles will be in each bag?
Each bag will have 10.6842 marbles (does not divide evenly).
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
1827/171 = 10.6842 (does not divide evenly, indicating 171 is not a factor).
Problem 4
In a class, there are 1827 students, and 3 groups. How many students are there in each group?
There are 609 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1827/3 = 609
Problem 5
1827 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 97 books.
Explanation
Divide total books with shelves.
1827/19 = 97
FAQs on Factors of 1827
1.What are the factors of 1827?
2.Mention the prime factors of 1827.
3.Is 1827 a multiple of 3?
4.Mention the factor pairs of 1827?
5.What is the square of 1827?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1827?
7.What are some fun ways kids in Thailand can practice Factors of 1827 with numbers?
8.What role do numbers and Factors of 1827 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1827 skills?
Important Glossaries for Factor of 1827
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1827 are 1, 3, 19, 27, 57, 171, 609, and 1827.
- Prime factors: The factors which are prime numbers. For example, 3 and 19 are prime factors of 1827.
- 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 1827 are (1, 1827), (3, 609), (19, 97).
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 1827 is 3 × 3 × 19.
- Negative factors: Factors that are negative counterparts of the positive factors, such as -1, -3, -19 for 1827.
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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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