100 LearnersLast updated on May 26th, 2025
Factors of 2145
Factors are the numbers that divide any given number evenly without a 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 2145, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2145?
The numbers that divide 2145 evenly are known as factors of 2145.
A factor of 2145 is a number that divides the number without a remainder.
The factors of 2145 are 1, 3, 5, 11, 15, 33, 39, 55, 65, 195, 429, 715, and 2145.
Negative factors of 2145: -1, -3, -5, -11, -15, -33, -39, -55, -65, -195, -429, -715, and -2145.
Prime factors of 2145: 3, 5, and 11.
Prime factorization of 2145: 3 × 5 × 11 × 13.
The sum of factors of 2145: 1 + 3 + 5 + 11 + 15 + 33 + 39 + 55 + 65 + 195 + 429 + 715 + 2145 = 3711
How to Find Factors of 2145?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 2145. Identifying the numbers which are multiplied to get the number 2145 is the multiplication method.
Step 1: Multiply 2145 by 1, 2145 × 1 = 2145.
Step 2: Check for other numbers that give 2145 after multiplying
3 × 715 = 2145
5 × 429 = 2145
11 × 195 = 2145
15 × 143 = 2145
33 × 65 = 2145
39 × 55 = 2145
Therefore, the positive factor pairs of 2145 are: (1, 2145), (3, 715), (5, 429), (11, 195), (15, 143), (33, 65), and (39, 55).
All these factor pairs result in 2145.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 2145 by 1, 2145 ÷ 1 = 2145.
Step 2: Continue dividing 2145 by the numbers until the remainder becomes 0.
2145 ÷ 1 = 2145
2145 ÷ 3 = 715
2145 ÷ 5 = 429
2145 ÷ 11 = 195
2145 ÷ 15 = 143
2145 ÷ 33 = 65
2145 ÷ 39 = 55
Therefore, the factors of 2145 are: 1, 3, 5, 11, 15, 33, 39, 55, 65, 195, 429, 715, and 2145.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 2145 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2145 ÷ 3 = 715
715 ÷ 5 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 2145 are 3, 5, 11, and 13.
The prime factorization of 2145 is: 3 × 5 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2145 is divided by 3 to get 715.
Step 2: Now divide 715 by 5 to get 143.
Step 3: Then divide 143 by 11 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2145 is: 3 × 5 × 11 × 13.
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 2145: (1, 2145), (3, 715), (5, 429), (11, 195), (15, 143), (33, 65), and (39, 55).
Negative factor pairs of 2145: (-1, -2145), (-3, -715), (-5, -429), (-11, -195), (-15, -143), (-33, -65), and (-39, -55).
Common Mistakes and How to Avoid Them in Factors of 2145
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 word. Always remember to include 1 and the number itself.
For example, in factors of 2145, 1 and 2145 are also factors.
Factors of 2145 Examples
Problem 1
There are 3 teams and 2145 marbles. How will they divide them equally?
They will get 715 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
2145/3 = 715
Problem 2
A garden is rectangular, the length of the garden is 11 meters and the total area is 2145 square meters. Find the width?
195 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2145 = 11 × width
To find the value of width, we need to shift 11 to the left side.
2145/11 = width
Width = 195.
Problem 3
There are 13 boxes and 2145 candies. How many candies will be in each box?
Each box will have 165 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
2145/13 = 165
Problem 4
In a conference, there are 2145 participants, and 5 halls. How many participants are there in each hall?
There are 429 participants in each hall.
Explanation
Dividing the participants by the total halls, we will get the number of participants in each hall.
2145/5 = 429
Problem 5
2145 books need to be arranged in 33 shelves. How many books will go on each shelf?
Each of the shelves has 65 books.
Explanation
Divide total books by shelves.
2145/33 = 65
FAQs on Factors of 2145
1.What are the factors of 2145?
2.Mention the prime factors of 2145.
3.Is 2145 a multiple of 11?
4.Mention the factor pairs of 2145?
5.What is the square of 2145?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 2145?
7.What are some fun ways kids in Vietnam can practice Factors of 2145 with numbers?
8.What role do numbers and Factors of 2145 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 2145 skills?
Important Glossaries for Factors of 2145
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2145 are 1, 3, 5, 11, 15, 33, 39, 55, 65, 195, 429, 715, and 2145.
- Prime factors: The factors which are prime numbers. For example, 3, 5, 11, and 13 are prime factors of 2145.
- 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 2145 are (1, 2145), (3, 715), etc.
- Prime factorization: Breaking down a number into the product of prime factors. For instance, the prime factorization of 2145 is 3 × 5 × 11 × 13.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number.
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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.
