100 LearnersLast updated on May 26th, 2025
Factors of 8420
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 8420, how they are used in real life, and tips to learn them quickly.
What are the Factors of 8420?
The numbers that divide 8420 evenly are known as factors of 8420.
A factor of 8420 is a number that divides the number without remainder.
The factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, and 8420.
Negative factors of 8420: -1, -2, -4, -5, -10, -20, -421, -842, -1684, -2105, -4210, and -8420.
Prime factors of 8420: 2, 5, and 421.
Prime factorization of 8420: 2 × 2 × 5 × 421.
The sum of factors of 8420: 1 + 2 + 4 + 5 + 10 + 20 + 421 + 842 + 1684 + 2105 + 4210 + 8420 = 15724
How to Find Factors of 8420?
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 8420. Identifying the numbers which are multiplied to get the number 8420 is the multiplication method.
Step 1: Multiply 8420 by 1, 8420 × 1 = 8420.
Step 2: Check for other numbers that give 8420 after multiplying
2 × 4210 = 8420
4 × 2105 = 8420
5 × 1684 = 8420
10 × 842 = 8420
20 × 421 = 8420
Therefore, the positive factor pairs of 8420 are: (1, 8420), (2, 4210), (4, 2105), (5, 1684), (10, 842), and (20, 421). All these factor pairs result in 8420.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 the simple division method
Step 1: Divide 8420 by 1, 8420 ÷ 1 = 8420.
Step 2: Continue dividing 8420 by the numbers until the remainder becomes 0.
8420 ÷ 1 = 8420
8420 ÷ 2 = 4210
8420 ÷ 4 = 2105
8420 ÷ 5 = 1684
8420 ÷ 10 = 842
8420 ÷ 20 = 421
Therefore, the factors of 8420 are: 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420.
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 8420 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
8420 ÷ 2 = 4210
4210 ÷ 2 = 2105
2105 ÷ 5 = 421
Here, 421 is a prime number, so the division stops here.
The prime factors of 8420 are 2, 5, and 421.
The prime factorization of 8420 is: 2 × 2 × 5 × 421.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 8420 is divided by 2 to get 4210.
Step 2: Now divide 4210 by 2 to get 2105.
Step 3: Then divide 2105 by 5 to get 421. Here, 421 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 8420 is: 2 × 2 × 5 × 421.
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 8420: (1, 8420), (2, 4210), (4, 2105), (5, 1684), (10, 842), and (20, 421).
Negative factor pairs of 8420: (-1, -8420), (-2, -4210), (-4, -2105), (-5, -1684), (-10, -842), and (-20, -421).
Common Mistakes and How to Avoid Them in Factors of 8420
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 8420, 1 and 8420 are also factors.
Factors of 8420 Examples
Problem 1
There are 10 boxes and 8420 candies. How will they divide it equally?
They will get 842 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of boxes. 8420/10 = 842
Problem 2
A plot is rectangular, the length of the plot is 421 meters and the total area is 8420 square meters. Find the width?
20 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
8420 = 421 × width
To find the value of width, we need to shift 421 to the left side.
8420/421 = width
Width = 20.
Problem 3
There are 2105 marbles and 5 containers. How many marbles will be in each container?
Each container will have 421 marbles.
Explanation
To find the number of marbles in each container, divide the total marbles by the containers. 2105/5 = 421
Problem 4
In a conference, there are 8420 participants, and 4 sections. How many participants are there in each section?
There are 2105 participants in each section.
Explanation
Dividing the participants with the total sections, we will get the number of participants in each section. 8420/4 = 2105
Problem 5
8420 books need to be arranged in 2 rows. How many books will go in each row?
Each of the rows has 4210 books.
Explanation
Divide total books with rows. 8420/2 = 4210
FAQs on Factors of 8420
1.What are the factors of 8420?
2.Mention the prime factors of 8420.
3.Is 8420 a multiple of 5?
4.Mention the factor pairs of 8420?
5.What is the square of 8420?
6.How can children in Canada use numbers in everyday life to understand Factors of 8420?
7.What are some fun ways kids in Canada can practice Factors of 8420 with numbers?
8.What role do numbers and Factors of 8420 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 8420 skills?
Important Glossaries for Factor of 8420
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, and 8420.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 421 are prime factors of 8420.
- 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 8420 are (1, 8420), (2, 4210), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 8420 is 2 × 2 × 5 × 421.
- Multiple: A number that can be divided by another number without a remainder. For example, 8420 is a multiple of 5.
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About BrightChamps in Canada
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.
