101 LearnersLast updated on May 26th, 2025
Factors of 404
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 404, how they are used in real life, and tips to learn them quickly.
What are the Factors of 404?
The numbers that divide 404 evenly are known as factors of 404.
A factor of 404 is a number that divides the number without a remainder.
The factors of 404 are 1, 2, 4, 101, 202, and 404.
Negative factors of 404: -1, -2, -4, -101, -202, and -404.
Prime factors of 404: 2 and 101.
Prime factorization of 404: 22 × 101.
The sum of factors of 404: 1 + 2 + 4 + 101 + 202 + 404 = 714
How to Find Factors of 404?
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 404. Identifying the numbers which are multiplied to get the number 404 is the multiplication method.
Step 1: Multiply 404 by 1, 404 × 1 = 404.
Step 2: Check for other numbers that give 404 after multiplying
2 × 202 = 404
4 × 101 = 404
Therefore, the positive factor pairs of 404 are: (1, 404), (2, 202), and (4, 101).
All these factor pairs result in 404.
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 404 by 1, 404 ÷ 1 = 404.
Step 2: Continue dividing 404 by the numbers until the remainder becomes 0.
404 ÷ 1 = 404
404 ÷ 2 = 202
404 ÷ 4 = 101
Therefore, the factors of 404 are: 1, 2, 4, 101, 202, 404.
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 404 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
404 ÷ 2 = 202
202 ÷ 2 = 101
101 ÷ 101 = 1
The prime factors of 404 are 2 and 101.
The prime factorization of 404 is: 2^2 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 404 is divided by 2 to get 202.
Step 2: Now divide 202 by 2 to get 101.
Step 3: Here, 101 is the smallest prime number and cannot be divided anymore.
So, the prime factorization of 404 is: 2^2 × 101.
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 404: (1, 404), (2, 202), and (4, 101).
Negative factor pairs of 404: (-1, -404), (-2, -202), and (-4, -101).
Common Mistakes and How to Avoid Them in Factors of 404
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 404, 1 and 404 are also factors.
Factors of 404 Examples
Problem 1
There are 4 teams and 404 apples. How will they divide them equally?
They will get 101 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
404/4 = 101
Problem 2
A garden plot is rectangular, the length of the plot is 101 meters and the total area is 404 square meters. Find the width?
4 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width 404 = 101 × width
To find the value of width, we need to shift 101 to the left side.
404/101 = width
Width = 4.
Problem 3
There are 2 containers and 404 liters of water. How many liters will be in each container?
Each container will have 202 liters.
Explanation
To find the liters in each container, divide the total liters by the containers.
404/2 = 202
Problem 4
In a conference, there are 404 participants, and 101 tables. How many participants are there at each table?
There are 4 participants at each table.
Explanation
Dividing the participants by the total tables, we will get the number of participants at each table.
404/101 = 4
Problem 5
404 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 101 books.
Explanation
Divide total books by shelves.
404/4 = 101
FAQs on Factors of 404
1.What are the factors of 404?
2.Mention the prime factors of 404.
3.Is 404 a multiple of 4?
4.Mention the factor pairs of 404?
5.What is the square of 404?
6.How can children in India use numbers in everyday life to understand Factors of 404?
7.What are some fun ways kids in India can practice Factors of 404 with numbers?
8.What role do numbers and Factors of 404 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 404 skills?
Important Glossaries for Factor of 404
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 404 are 1, 2, 4, 101, 202, and 404.
- Prime factors: The factors which are prime numbers. For example, 2 and 101 are prime factors of 404.
- 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 404 are (1, 404), (2, 202), etc.
- Prime factorization: The process of determining the prime numbers that multiply together to give the original number. For example, the prime factorization of 404 is 2^2 × 101.
- Divisibility: The ability of one number to be divided by another without a remainder. For example, 404 is divisible by 2.
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About BrightChamps in India
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.
