101 LearnersLast updated on May 26th, 2025
Factors of 2709
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 2709, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2709?
The numbers that divide 2709 evenly are known as factors of 2709.
A factor of 2709 is a number that divides the number without remainder.
The factors of 2709 are 1, 3, 7, 21, 129, 387, 903, and 2709.
Negative factors of 2709: -1, -3, -7, -21, -129, -387, -903, and -2709.
Prime factors of 2709: 3 and 7.
Prime factorization of 2709: 3 × 3 × 3 × 7 × 43.
The sum of factors of 2709: 1 + 3 + 7 + 21 + 129 + 387 + 903 + 2709 = 4160
How to Find Factors of 2709?
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 2709. Identifying the numbers which are multiplied to get the number 2709 is the multiplication method.
Step 1: Multiply 2709 by 1, 2709 × 1 = 2709.
Step 2: Check for other numbers that give 2709 after multiplying
3 × 903 = 2709
7 × 387 = 2709
21 × 129 = 2709
Therefore, the positive factor pairs of 2709 are: (1, 2709), (3, 903), (7, 387), and (21, 129). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 2709 by 1, 2709 ÷ 1 = 2709.
Step 2: Continue dividing 2709 by the numbers until the remainder becomes 0.
2709 ÷ 1 = 2709
2709 ÷ 3 = 903
2709 ÷ 7 = 387
2709 ÷ 21 = 129
Therefore, the factors of 2709 are: 1, 3, 7, 21, 129, 387, 903, 2709.
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 2709 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2709 ÷ 3 = 903
903 ÷ 3 = 301
301 ÷ 7 = 43
43 ÷ 43 = 1
The prime factors of 2709 are 3, 7, and 43.
The prime factorization of 2709 is: 3 × 3 × 7 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2709 is divided by 3 to get 903.
Step 2: Now divide 903 by 3 to get 301.
Step 3: Then divide 301 by 7 to get 43. Here, 43 is a prime number that cannot be divided anymore. So, the prime factorization of 2709 is: 3 × 3 × 7 × 43.
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 2709: (1, 2709), (3, 903), (7, 387), and (21, 129).
Negative factor pairs of 2709: (-1, -2709), (-3, -903), (-7, -387), and (-21, -129).
Common Mistakes and How to Avoid Them in Factors of 2709
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 2709, 1 and 2709 are also factors.
Factors of 2709 Examples
Problem 1
There are 9 teams and 2709 points to be distributed equally among them. How many points will each team get?
Each team will get 301 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
2709/9 = 301
Problem 2
A piece of land is rectangular, the length of the land is 21 meters and the total area is 2709 square meters. Find the width.
129 meters.
Explanation
To find the width of the land, we use the formula,
Area = length × width
2709 = 21 × width
To find the value of width, we need to divide 2709 by 21.
2709/21 = width
Width = 129.
Problem 3
There are 3 containers and 2709 liters of water. How many liters will be in each container?
Each container will have 903 liters.
Explanation
To find the water in each container, divide the total liters by the number of containers.
2709/3 = 903
Problem 4
In a concert hall, there are 903 seats and 3 sections. How many seats are in each section?
There are 301 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
903/3 = 301
Problem 5
2709 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each shelf will have 387 books.
Explanation
Divide total books by the number of shelves.
2709/7 = 387
FAQs on Factors of 2709
1.What are the factors of 2709?
2.Mention the prime factors of 2709.
3.Is 2709 a multiple of 3?
4.Mention the factor pairs of 2709?
5.What is the square of 2709?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 2709?
7.What are some fun ways kids in Vietnam can practice Factors of 2709 with numbers?
8.What role do numbers and Factors of 2709 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 2709 skills?
Important Glossaries for Factor of 2709
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2709 are 1, 3, 7, 21, 129, 387, 903, and 2709.
- Prime factors: The factors which are prime numbers. For example, 3 and 7 are prime factors of 2709.
- 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 2709 are (1, 2709), (3, 903), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 2709 is 3 × 3 × 7 × 43.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 2709 is a multiple of 3.
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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.
