100 LearnersLast updated on May 26th, 2025
Factors of 2250
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 2250, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2250?
The numbers that divide 2250 evenly are known as factors of 2250.
A factor of 2250 is a number that divides the number without remainder.
The factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450, 750, 1125, and 2250.
Negative factors of 2250: -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -30, -45, -50, -75, -90, -150, -225, -450, -750, -1125, and -2250.
Prime factors of 2250: 2, 3, and 5.
Prime factorization of 2250: 2 × 3² × 5³.
The sum of factors of 2250: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 30 + 45 + 50 + 75 + 90 + 150 + 225 + 450 + 750 + 1125 + 2250 = 7068
How to Find Factors of 2250?
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 2250. Identifying the numbers that are multiplied to get the number 2250 is the multiplication method.
Step 1: Multiply 2250 by 1, 2250 × 1 = 2250.
Step 2: Check for other numbers that give 2250 after multiplying
2 × 1125 = 2250
3 × 750 = 2250
5 × 450 = 2250
6 × 375 = 2250
Therefore, the positive factor pairs of 2250 are: (1, 2250), (2, 1125), (3, 750), (5, 450), (6, 375), etc.
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 2250 by 1, 2250 ÷ 1 = 2250.
Step 2: Continue dividing 2250 by the numbers until the remainder becomes 0.
2250 ÷ 1 = 2250
2250 ÷ 2 = 1125
2250 ÷ 3 = 750
2250 ÷ 5 = 450
2250 ÷ 6 = 375
Therefore, the factors of 2250 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450, 750, 1125, 2250.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 2250 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2250 ÷ 2 = 1125
1125 ÷ 3 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 2250 are 2, 3, and 5.
The prime factorization of 2250 is: 2 × 3² × 5³.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2250 is divided by 2 to get 1125.
Step 2: Now divide 1125 by 3 to get 375.
Step 3: Then divide 375 by 3 to get 125.
Step 4: Divide 125 by 5 to get 25.
Step 5: Divide 25 by 5 to get 5.
Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2250 is: 2 × 3² × 5³.
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 2250: (1, 2250), (2, 1125), (3, 750), (5, 450), (6, 375), etc.
Negative factor pairs of 2250: (-1, -2250), (-2, -1125), (-3, -750), (-5, -450), (-6, -375), etc.
Common Mistakes and How to Avoid Them in Factors of 2250
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 2250, 1 and 2250 are also factors.
Factors of 2250 Examples
Problem 1
There are 9 teams and 2250 points to distribute. How will they share it equally?
They will get 250 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
2250/9 = 250
Problem 2
A rectangular garden has a length of 25 meters and a total area of 2250 square meters. Find the width.
90 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2250 = 25 × width
To find the value of width, we need to shift 25 to the left side.
2250/25 = width
Width = 90.
Problem 3
There are 15 bags and 2250 marbles. How many marbles will be in each bag?
Each bag will have 150 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
2250/15 = 150
Problem 4
In a school, there are 450 students, and 5 classrooms. How many students are there in each classroom?
There are 90 students in each classroom.
Explanation
Dividing the students by the total classrooms, we will get the number of students in each classroom.
450/5 = 90
Problem 5
2250 pencils need to be arranged in 25 boxes. How many pencils will go in each box?
Each of the boxes has 90 pencils.
Explanation
Divide total pencils by boxes.
2250/25 = 90
FAQs on Factors of 2250
1.What are the factors of 2250?
2.Mention the prime factors of 2250.
3.Is 2250 a multiple of 15?
4.Mention the factor pairs of 2250?
5.What is the square of 2250?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 2250?
7.What are some fun ways kids in Vietnam can practice Factors of 2250 with numbers?
8.What role do numbers and Factors of 2250 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 2250 skills?
Important Glossaries for Factor of 2250
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 2250.
- 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 2250 are (1, 2250), (2, 1125), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 2250 = 2 × 3² × 5³.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 2250 is a multiple of 15.
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About BrightChamps in Vietnam
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.
