102 LearnersLast updated on May 26th, 2025
Factors of 2205
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 2205, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2205?
The numbers that divide 2205 evenly are known as factors of 2205.
A factor of 2205 is a number that divides the number without remainder.
The factors of 2205 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 201, 335, 671, and 2205.
Negative factors of 2205: -1, -3, -5, -9, -11, -15, -33, -45, -55, -99, -165, -201, -335, -671, -2205.
Prime factors of 2205: 3, 5, 11, and 67.
Prime factorization of 2205: 3 × 5 × 11 × 67.
The sum of factors of 2205: 1 + 3 + 5 + 9 + 11 + 15 + 33 + 45 + 55 + 99 + 165 + 201 + 335 + 671 + 2205 = 3848
How to Find Factors of 2205?
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 2205. Identifying the numbers which are multiplied to get the number 2205 is the multiplication method.
Step 1: Multiply 2205 by 1, 2205 × 1 = 2205.
Step 2: Check for other numbers that give 2205 after multiplying
3 × 735 = 2205
5 × 441 = 2205
9 × 245 = 2205
11 × 201 = 2205
15 × 147 = 2205
33 × 67 = 2205
45 × 49 = 2205
Therefore, the positive factor pairs of 2205 are: (1, 2205), (3, 735), (5, 441), (9, 245), (11, 201), (15, 147), (33, 67), and (45, 49).
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 2205 by 1, 2205 ÷ 1 = 2205.
Step 2: Continue dividing 2205 by the numbers until the remainder becomes 0.
2205 ÷ 1 = 2205
2205 ÷ 3 = 735
2205 ÷ 5 = 441
2205 ÷ 9 = 245
2205 ÷ 11 = 201
2205 ÷ 15 = 147
2205 ÷ 33 = 67
Therefore, the factors of 2205 are: 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 201, 335, 671, 2205.
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 2205 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2205 ÷ 3 = 735
735 ÷ 3 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 2205 are 3, 5, 11, and 67.
The prime factorization of 2205 is: 3 × 5 × 11 × 67.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2205 is divided by 3 to get 735.
Step 2: Now divide 735 by 3 to get 245.
Step 3: Then divide 245 by 5 to get 49.
Step 4: Divide 49 by 7 to get 7.
Step 5: Divide 7 by 7 to get 1.
Here, 1 indicates the end of factorization.
So, the prime factorization of 2205 is: 3 × 5 × 11 × 67.
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 2205: (1, 2205), (3, 735), (5, 441), (9, 245), (11, 201), (15, 147), (33, 67), and (45, 49).
Negative factor pairs of 2205: (-1, -2205), (-3, -735), (-5, -441), (-9, -245), (-11, -201), (-15, -147), (-33, -67), and (-45, -49).
Common Mistakes and How to Avoid Them in Factors of 2205
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 2205, 1 and 2205 are also factors.
Factors of 2205 Examples
Problem 1
A library has 2205 books and wants to distribute them equally among 15 shelves. How many books will each shelf have?
Each shelf will have 147 books.
Explanation
To distribute the books equally, we need to divide the total books by the number of shelves.
2205/15 = 147
Problem 2
A community garden is 2205 square meters in area. If the length is 45 meters, what is the width?
49 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2205 = 45 × width
To find the value of width, we need to shift 45 to the left side.
2205/45 = width
Width = 49.
Problem 3
There are 11 teams and 2205 points. How many points does each team have if they are distributed equally?
Each team will have 201 points.
Explanation
To find the points for each team, divide the total points by the number of teams.
2205/11 = 201
Problem 4
In a tournament, there are 2205 participants, and they are divided into 9 groups. How many participants are there in each group?
There are 245 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
2205/9 = 245
Problem 5
2205 apples need to be packed in bags, with each bag containing 5 apples. How many bags are needed?
441 bags are needed.
Explanation
Divide the total apples by the number of apples per bag.
2205/5 = 441
FAQs on Factors of 2205
1.What are the factors of 2205?
2.Mention the prime factors of 2205.
3.Is 2205 a multiple of 5?
4.Mention the factor pairs of 2205?
5.What is the square of 2205?
6.How can children in Australia use numbers in everyday life to understand Factors of 2205?
7.What are some fun ways kids in Australia can practice Factors of 2205 with numbers?
8.What role do numbers and Factors of 2205 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 2205 skills?
Important Glossaries for Factor of 2205
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2205 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 201, 335, 671, and 2205.
- Prime factors: The factors which are prime numbers. For example, 3, 5, 11, and 67 are prime factors of 2205.
- 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 2205 are (1, 2205), (3, 735), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 2205 is 3 × 5 × 11 × 67.
- Multiples: Numbers that can be divided by the given number without leaving a remainder are called multiples. For example, 2205 is a multiple of 5.
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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
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