100 LearnersLast updated on May 26th, 2025
Factors of 2170
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 2170, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2170?
The numbers that divide 2170 evenly are known as factors of 2170.
A factor of 2170 is a number that divides the number without remainder.
The factors of 2170 are 1, 2, 5, 10, 217, 434, 1085, and 2170.
Negative factors of 2170: -1, -2, -5, -10, -217, -434, -1085, and -2170.
Prime factors of 2170: 2, 5, and 217.
Prime factorization of 2170: 2 × 5 × 217.
The sum of factors of 2170: 1 + 2 + 5 + 10 + 217 + 434 + 1085 + 2170 = 3924
How to Find Factors of 2170?
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 2170. Identifying the numbers which are multiplied to get the number 2170 is the multiplication method.
Step 1: Multiply 2170 by 1, 2170 × 1 = 2170.
Step 2: Check for other numbers that give 2170 after multiplying
2 × 1085 = 2170
5 × 434 = 2170
10 × 217 = 2170
Therefore, the positive factor pairs of 2170 are: (1, 2170), (2, 1085), (5, 434), (10, 217).
All these factor pairs result in 2170.
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 2170 by 1, 2170 ÷ 1 = 2170.
Step 2: Continue dividing 2170 by the numbers until the remainder becomes 0.
2170 ÷ 1 = 2170
2170 ÷ 2 = 1085
2170 ÷ 5 = 434
2170 ÷ 10 = 217
Therefore, the factors of 2170 are: 1, 2, 5, 10, 217, 434, 1085, 2170.
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 2170 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2170 ÷ 2 = 1085
1085 ÷ 5 = 217
217 ÷ 217 = 1
The prime factors of 2170 are 2, 5, and 217.
The prime factorization of 2170 is: 2 × 5 × 217.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2170 is divided by 2 to get 1085.
Step 2: Now divide 1085 by 5 to get 217.
Step 3: Finally, divide 217 by 217 to get 1.
Here, 217 is a prime number and cannot be divided anymore.
So, the prime factorization of 2170 is: 2 × 5 × 217.
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 2170: (1, 2170), (2, 1085), (5, 434), (10, 217).
Negative factor pairs of 2170: (-1, -2170), (-2, -1085), (-5, -434), (-10, -217).
Common Mistakes and How to Avoid Them in Factors of 2170
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 2170, 1 and 2170 is also a factor.
Factors of 2170 Examples
Problem 1
There are 10 volunteers and 2170 flyers. How will they divide it equally?
They will get 217 flyers each.
Explanation
To divide the flyers equally, we need to divide the total flyers with the number of volunteers.
2170/10 = 217
Problem 2
A rectangular garden has a length of 217 meters and the total area is 2170 square meters. Find the width.
10 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2170 = 217 × width
To find the value of width, we need to shift 217 to the left side.
2170/217 = width
Width = 10.
Problem 3
There are 434 chairs and 5 rows in a hall. How many chairs will be in each row?
Each row will have 86 chairs.
Explanation
To find the chairs in each row, divide the total chairs with the number of rows.
434/5 = 86.8, correct to 86
Problem 4
A library has 1085 books and 2 sections. How many books are there in each section?
There are 542.5 books in each section, rounded to 543.
Explanation
Dividing the books with the total sections, we will get the number of books in each section.
1085/2 = 542.5, correct to 543
Problem 5
2170 candies need to be packed into 5 boxes. How many candies will go in each box?
Each of the boxes has 434 candies.
Explanation
Divide total candies with boxes.
2170/5 = 434
FAQs on Factors of 2170
1.What are the factors of 2170?
2.Mention the prime factors of 2170.
3.Is 2170 a multiple of 5?
4.Mention the factor pairs of 2170?
5.What is the square of 2170?
6.How can children in Australia use numbers in everyday life to understand Factors of 2170?
7.What are some fun ways kids in Australia can practice Factors of 2170 with numbers?
8.What role do numbers and Factors of 2170 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 2170 skills?
Important Glossaries for Factor of 2170
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2170 are 1, 2, 5, 10, 217, 434, 1085, and 2170.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 217 are prime factors of 2170.
- 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 2170 are (1, 2170), (2, 1085), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 2170 is 2 × 5 × 217.
- Negative factors: Factors of a number that are negative. For example, -1, -2, -5, -10, -217, -434, -1085, and -2170 are negative factors of 2170.
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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
: She loves to read number jokes and games.
