101 LearnersLast updated on May 26th, 2025
Factors of 2187
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 2187, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2187?
The numbers that divide 2187 evenly are known as factors of 2187.
A factor of 2187 is a number that divides the number without remainder.
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, and 2187.
Negative factors of 2187: -1, -3, -9, -27, -81, -243, -729, and -2187.
Prime factors of 2187: 3.
Prime factorization of 2187: 3^7.
The sum of factors of 2187: 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 = 3280
How to Find Factors of 2187?
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 2187. Identifying the numbers which are multiplied to get the number 2187 is the multiplication method.
Step 1: Multiply 2187 by 1, 2187 × 1 = 2187.
Step 2: Check for other numbers that give 2187 after multiplying
3 × 729 = 2187
9 × 243 = 2187
27 × 81 = 2187
Therefore, the positive factor pairs of 2187 are: (1, 2187), (3, 729), (9, 243), (27, 81).
All these factor pairs result in 2187.
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 a simple division method -
Step 1: Divide 2187 by 1, 2187 ÷ 1 = 2187.
Step 2: Continue dividing 2187 by the numbers until the remainder becomes 0.
2187 ÷ 1 = 2187
2187 ÷ 3 = 729
2187 ÷ 9 = 243
2187 ÷ 27 = 81
Therefore, the factors of 2187 are: 1, 3, 9, 27, 81, 243, 729, 2187.
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 2187 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2187 ÷ 3 = 729
729 ÷ 3 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factor of 2187 is 3.
The prime factorization of 2187 is: 3^7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2187 is divided by 3 to get 729.
Step 2: Now divide 729 by 3 to get 243.
Step 3: Then divide 243 by 3 to get 81.
Step 4: Divide 81 by 3 to get 27.
Step 5: Divide 27 by 3 to get 9.
Step 6: Divide 9 by 3 to get 3.
Here, 3 is the prime number that cannot be divided further.
So, the prime factorization of 2187 is: 3^7.
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 2187: (1, 2187), (3, 729), (9, 243), (27, 81).
Negative factor pairs of 2187: (-1, -2187), (-3, -729), (-9, -243), (-27, -81).
Common Mistakes and How to Avoid Them in Factors of 2187
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 2187, 1 and 2187 are also factors.
Factors of 2187 Examples
Problem 1
There are 27 friends and 2187 candies. How will they divide it equally?
They will get 81 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
2187/27 = 81
Problem 2
A field is rectangular, the length of the field is 9 meters and the total area is 2187 square meters. Find the width?
243 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
2187 = 9 × width
To find the value of width, we need to shift 9 to the left side.
2187/9 = width
Width = 243.
Problem 3
There are 81 gift bags and 2187 candies. How many candies will be in each bag?
Each bag will have 27 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
2187/81 = 27
Problem 4
In a class, there are 243 students, and 3 groups. How many students are there in each group?
There are 81 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
243/3 = 81
Problem 5
2187 books need to be arranged in 729 shelves. How many books will go on each shelf?
Each of the shelves has 3 books.
Explanation
Divide total books by shelves.
2187/729 = 3
FAQs on Factors of 2187
1.What are the factors of 2187?
2.Mention the prime factor of 2187.
3.Is 2187 a multiple of 9?
4.Mention the factor pairs of 2187?
5.What is the cube of 2187?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 2187?
7.What are some fun ways kids in Bahrain can practice Factors of 2187 with numbers?
8.What role do numbers and Factors of 2187 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 2187 skills?
Important Glossaries for Factor of 2187
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2187 are 1, 3, 9, 27, 81, 243, 729, and 2187.
- Prime factors: The factors which are prime numbers. For example, 3 is the prime factor of 2187.
- 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 2187 are (1, 2187), (3, 729), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 2187 is 3^7.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the target number.
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About BrightChamps in Bahrain
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.
