101 LearnersLast updated on May 26th, 2025
Factors of 9800
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 9800, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 9800?
The numbers that divide 9800 evenly are known as factors of 9800.
A factor of 9800 is a number that divides the number without remainder.
The factors of 9800 include numbers such as 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 196, 245, 350, 490, 700, 980, 1225, 1960, 2450, 4900, and 9800.
Negative factors of 9800: -1, -2, -4, -5, -7, -10, -14, -20, -25, -28, -35, -49, -50, -70, -98, -100, -140, -196, -245, -350, -490, -700, -980, -1225, -1960, -2450, -4900, and -9800.
Prime factors of 9800: 2, 5, and 7.
Prime factorization of 9800: 2² × 5² × 7².
The sum of factors of 9800 is obtained by adding all its factors.
How to Find Factors of 9800?
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 9800. Identifying the numbers which are multiplied to get the number 9800 is the multiplication method.
Step 1: Multiply 9800 by 1, 9800 × 1 = 9800.
Step 2: Check for other numbers that give 9800 after multiplying
2 × 4900 = 9800
4 × 2450 = 9800
5 × 1960 = 9800
10 × 980 = 9800
Therefore, the positive factor pairs of 9800 are: (1, 9800), (2, 4900), (4, 2450), (5, 1960), (10, 980), etc.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 the simple division method
Step 1: Divide 9800 by 1, 9800 ÷ 1 = 9800.
Step 2: Continue dividing 9800 by the numbers until the remainder becomes 0.
9800 ÷ 1 = 9800
9800 ÷ 2 = 4900
9800 ÷ 4 = 2450
9800 ÷ 5 = 1960
9800 ÷ 10 = 980
Therefore, the factors of 9800 include numbers like 1, 2, 4, 5, 10, etc.
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 9800 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
9800 ÷ 2 = 4900
4900 ÷ 2 = 2450
2450 ÷ 5 = 490
490 ÷ 5 = 98
98 ÷ 7 = 14
14 ÷ 7 = 2
The prime factors of 9800 are 2, 5, and 7.
The prime factorization of 9800 is: 2² × 5² × 7².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 9800 is divided by 2 to get 4900.
Step 2: Now divide 4900 by 2 to get 2450.
Step 3: Divide 2450 by 5 to get 490.
Step 4: Divide 490 by 5 to get 98.
Step 5: Divide 98 by 7 to get 14.
Here, 2 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 9800 is: 2² × 5² × 7².
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 9800: (1, 9800), (2, 4900), (4, 2450), (5, 1960), (10, 980), etc. Negative factor pairs of 9800: (-1, -9800), (-2, -4900), (-4, -2450), (-5, -1960), (-10, -980), etc.
Common Mistakes and How to Avoid Them in Factors of 9800
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 9800, 1 and 9800 are also factors.
Factors of 9800 Examples
Problem 1
There are 14 friends and 9800 candies. How will they divide them equally?
They will get 700 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
9800/14 = 700
Problem 2
A rectangular garden has a length of 50 meters and a total area of 9800 square meters. Find the width.
196 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
9800 = 50 × width
To find the value of width, we need to shift 50 to the left side.
9800/50 = width
Width = 196.
Problem 3
There are 28 boxes and 9800 toys. How many toys will be in each box?
Each box will have 350 toys.
Explanation
To find the toys in each box, divide the total toys by the boxes.
9800/28 = 350
Problem 4
In a school, there are 9800 students, and 98 classes. How many students are there in each class?
There are 100 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
9800/98 = 100
Problem 5
9800 books need to be arranged in 49 shelves. How many books will go on each shelf?
Each of the shelves has 200 books.
Explanation
Divide the total books by the shelves.
9800/49 = 200
FAQs on Factors of 9800
1.What are the factors of 9800?
2.Mention the prime factors of 9800.
3.Is 9800 a multiple of 7?
4.Mention the factor pairs of 9800?
5.What is the square of 9800?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 9800?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 9800 with numbers?
8.What role do numbers and Factors of 9800 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 9800 skills?
Important Glossaries for Factors of 9800
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 9800 include numbers like 1, 2, 4, 5, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 9800.
- 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 9800 include (1, 9800), (2, 4900), etc.
- Prime factorization: The expression of a composite number as the product of its prime factors. For example, the prime factorization of 9800 is 2² × 5² × 7².
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to the original number. For example, using the multiplication method for 9800 involves pairs like 2 × 4900.
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About BrightChamps in United Arab Emirates
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.
