103 LearnersLast updated on May 26th, 2025
Factors of 2700
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 2700, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2700?
The numbers that divide 2700 evenly are known as factors of 2700.
A factor of 2700 is a number that divides the number without remainder.
The factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, and 2700.
Negative factors of 2700: -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -27, -30, -36, -45, -50, -54, -60, -75, -90, -100, -108, -135, -150, -180, -225, -270, -300, -450, -540, -675, -900, -1350, and -2700.
Prime factors of 2700: 2, 3, and 5.
Prime factorization of 2700: 2² × 3³ × 5².
The sum of factors of 2700: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 27 + 30 + 36 + 45 + 50 + 54 + 60 + 75 + 90 + 100 + 108 + 135 + 150 + 180 + 225 + 270 + 300 + 450 + 540 + 675 + 900 + 1350 + 2700 = 9360
How to Find Factors of 2700?
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 2700. Identifying the numbers which are multiplied to get the number 2700 is the multiplication method.
Step 1: Multiply 2700 by 1, 2700 × 1 = 2700.
Step 2: Check for other numbers that give 2700 after multiplying
2 × 1350 = 2700
3 × 900 = 2700
4 × 675 = 2700
5 × 540 = 2700
6 × 450 = 2700
9 × 300 = 2700
10 × 270 = 2700
12 × 225 = 2700
15 × 180 = 2700
18 × 150 = 2700
20 × 135 = 2700
25 × 108 = 2700
27 × 100 = 2700
30 × 90 = 2700
36 × 75 = 2700
45 × 60 = 2700
Therefore, the positive factor pairs of 2700 are: (1, 2700), (2, 1350), (3, 900), (4, 675), (5, 540), (6, 450), (9, 300), (10, 270), (12, 225), (15, 180), (18, 150), (20, 135), (25, 108), (27, 100), (30, 90), (36, 75), and (45, 60). 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 result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 2700 by 1, 2700 ÷ 1 = 2700.
Step 2: Continue dividing 2700 by the numbers until the remainder becomes 0.
2700 ÷ 1 = 2700
2700 ÷ 2 = 1350
2700 ÷ 3 = 900
2700 ÷ 4 = 675
2700 ÷ 5 = 540
2700 ÷ 6 = 450
2700 ÷ 9 = 300
2700 ÷ 10 = 270
2700 ÷ 12 = 225
2700 ÷ 15 = 180
2700 ÷ 18 = 150
2700 ÷ 20 = 135
2700 ÷ 25 = 108
2700 ÷ 27 = 100
2700 ÷ 30 = 90
2700 ÷ 36 = 75
2700 ÷ 45 = 60
Therefore, the factors of 2700 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, and 2700.
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 2700 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2700 ÷ 2 = 1350
1350 ÷ 2 = 675
675 ÷ 3 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 2700 are 2, 3, and 5.
The prime factorization of 2700 is: 2² × 3³ × 5².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2700 is divided by 2 to get 1350
Step 2: Now divide 1350 by 2 to get 675.
Step 3: Then divide 675 by 3 to get 225.
Step 4: Divide 225 by 3 to get 75.
Step 5: Divide 75 by 3 to get 25.
Step 6: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 2700 is: 2² × 3³ × 5².
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 2700: (1, 2700), (2, 1350), (3, 900), (4, 675), (5, 540), (6, 450), (9, 300), (10, 270), (12, 225), (15, 180), (18, 150), (20, 135), (25, 108), (27, 100), (30, 90), (36, 75), and (45, 60).
Negative factor pairs of 2700: (-1, -2700), (-2, -1350), (-3, -900), (-4, -675), (-5, -540), (-6, -450), (-9, -300), (-10, -270), (-12, -225), (-15, -180), (-18, -150), (-20, -135), (-25, -108), (-27, -100), (-30, -90), (-36, -75), and (-45, -60).
Common Mistakes and How to Avoid Them in Factors of 2700
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 2700, 1 and 2700 are also factors.
Factors of 2700 Examples
Problem 1
There are 27 people and 2700 pieces of candy. How will they divide it equally?
They will get 100 pieces of candy each.
Explanation
To divide the candy equally, we need to divide the total pieces of candy by the number of people.
2700/27 = 100
Problem 2
A garden is rectangular, the length of the garden is 30 meters and the total area is 2700 square meters. Find the width?
90 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2700 = 30 × width
To find the value of width, we need to shift 30 to the left side.
2700/30 = width
Width = 90.
Problem 3
There are 54 baskets and 2700 apples. How many apples will be in each basket?
Each basket will have 50 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
2700/54 = 50
Problem 4
In a conference, there are 2700 participants, and 60 groups. How many participants are there in each group?
There are 45 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
2700/60 = 45
Problem 5
2700 books need to be distributed equally among 108 shelves. How many books will go on each shelf?
Each shelf will have 25 books.
Explanation
Divide total books by shelves.
2700/108 = 25
FAQs on Factors of 2700
1.What are the factors of 2700?
2.Mention the prime factors of 2700.
3.Is 2700 a multiple of 9?
4.Mention the factor pairs of 2700?
5.What is the square of 2700?
6.How can children in Australia use numbers in everyday life to understand Factors of 2700?
7.What are some fun ways kids in Australia can practice Factors of 2700 with numbers?
8.What role do numbers and Factors of 2700 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 2700 skills?
Important Glossaries for Factor of 2700
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, and 2700.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 2700.
- 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 2700 are (1, 2700), (2, 1350), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 2700 is 2² × 3³ × 5².
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 2700 is a multiple of 9.
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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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