104 LearnersLast updated on May 26th, 2025
Factors of 2210
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 2210, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2210?
The numbers that divide 2210 evenly are known as factors of 2210.
A factor of 2210 is a number that divides the number without remainder.
The factors of 2210 are 1, 2, 5, 10, 13, 26, 17, 34, 65, 85, 130, 170, 221, 442, 1105, and 2210.
Negative factors of 2210: -1, -2, -5, -10, -13, -26, -17, -34, -65, -85, -130, -170, -221, -442, -1105, and -2210.
Prime factors of 2210: 2, 5, 13, and 17.
Prime factorization of 2210: 2 × 5 × 13 × 17.
The sum of factors of 2210: 1 + 2 + 5 + 10 + 13 + 26 + 17 + 34 + 65 + 85 + 130 + 170 + 221 + 442 + 1105 + 2210 = 4536
How to Find Factors of 2210?
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 2210. Identifying the numbers which are multiplied to get the number 2210 is the multiplication method.
Step 1: Multiply 2210 by 1, 2210 × 1 = 2210.
Step 2: Check for other numbers that give 2210 after multiplying
2 × 1105 = 2210
5 × 442 = 2210
10 × 221 = 2210
13 × 170 = 2210
17 × 130 = 2210
26 × 85 = 2210
34 × 65 = 2210
Therefore, the positive factor pairs of 2210 are: (1, 2210), (2, 1105), (5, 442), (10, 221), (13, 170), (17, 130), (26, 85), and (34, 65).
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 results as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 2210 by 1, 2210 ÷ 1 = 2210.
Step 2: Continue dividing 2210 by the numbers until the remainder becomes 0.
2210 ÷ 1 = 2210
2210 ÷ 2 = 1105
2210 ÷ 5 = 442
2210 ÷ 10 = 221
2210 ÷ 13 = 170
2210 ÷ 17 = 130
2210 ÷ 26 = 85
2210 ÷ 34 = 65
Therefore, the factors of 2210 are: 1, 2, 5, 10, 13, 26, 17, 34, 65, 85, 130, 170, 221, 442, 1105, and 2210.
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 2210 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
2210 ÷ 2 = 1105
1105 ÷ 5 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1
The prime factors of 2210 are 2, 5, 13, and 17.
The prime factorization of 2210 is: 2 × 5 × 13 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2210 is divided by 2 to get 1105.
Step 2: Now divide 1105 by 5 to get 221.
Step 3: Then divide 221 by 13 to get 17.
Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2210 is: 2 × 5 × 13 × 17.
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 2210: (1, 2210), (2, 1105), (5, 442), (10, 221), (13, 170), (17, 130), (26, 85), and (34, 65).
Negative factor pairs of 2210: (-1, -2210), (-2, -1105), (-5, -442), (-10, -221), (-13, -170), (-17, -130), (-26, -85), and (-34, -65).
Common Mistakes and How to Avoid Them in Factors of 2210
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 2210, 1 and 2210 are also factors.
Factors of 2210 Examples
Problem 1
There are 10 teams and 2210 points. How will the points be divided equally among the teams?
Each team will get 221 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
2210/10 = 221
Problem 2
A rectangular billboard has a length of 130 meters and a total area of 2210 square meters. Find the width.
17 meters.
Explanation
To find the width of the billboard, we use the formula,
Area = length × width
2210 = 130 × width
To find the value of width, we need to shift 130 to the left side.
2210/130 = width
Width = 17.
Problem 3
There are 442 chairs and 5 rows. How many chairs will be in each row?
Each row will have 88 chairs.
Explanation
To find the chairs in each row, divide the total chairs by the number of rows.
442/5 = 88
Problem 4
In a class, there are 2210 students, and 13 groups. How many students are there in each group?
There are 170 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
2210/13 = 170
Problem 5
2210 books need to be arranged in 26 shelves. How many books will go on each shelf?
Each of the shelves has 85 books.
Explanation
Divide total books by shelves.
2210/26 = 85
FAQs on Factors of 2210
1.What are the factors of 2210?
2.Mention the prime factors of 2210.
3.Is 2210 a multiple of 34?
4.Mention the factor pairs of 2210?
5.What is the square of 2210?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 2210?
7.What are some fun ways kids in Vietnam can practice Factors of 2210 with numbers?
8.What role do numbers and Factors of 2210 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 2210 skills?
Important Glossaries for Factors of 2210
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2210 are 1, 2, 5, 10, 13, 26, 17, 34, 65, 85, 130, 170, 221, 442, 1105, and 2210.
- Prime factors: The factors which are prime numbers. For example, 2, 5, 13, and 17 are prime factors of 2210.
- 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 2210 are (1, 2210), (2, 1105), etc.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to a given number.
- Division method: A method used to find factors by dividing the number by whole numbers until the remainder is zero.
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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.
