101 LearnersLast updated on May 26th, 2025
Factors of 406
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 406, how they are used in real life, and tips to learn them quickly.
What are the Factors of 406?
The numbers that divide 406 evenly are known as factors of 406.
A factor of 406 is a number that divides the number without a remainder.
The factors of 406 are 1, 2, 203, and 406.
Negative factors of 406: -1, -2, -203, and -406.
Prime factors of 406: 2 and 203.
Prime factorization of 406: 2 × 203.
The sum of factors of 406: 1 + 2 + 203 + 406 = 612
How to Find Factors of 406?
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 406. Identifying the numbers which are multiplied to get the number 406 is the multiplication method.
Step 1: Multiply 406 by 1, 406 × 1 = 406.
Step 2: Check for other numbers that give 406 after multiplying 2 × 203 = 406
Therefore, the positive factor pairs of 406 are: (1, 406) and (2, 203).
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 in whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 406 by 1, 406 ÷ 1 = 406.
Step 2: Continue dividing 406 by the numbers until the remainder becomes 0.
406 ÷ 1 = 406
406 ÷ 2 = 203
Therefore, the factors of 406 are: 1, 2, 203, and 406.
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 406 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
406 ÷ 2 = 203
203 ÷ 203 = 1
The prime factors of 406 are 2 and 203.
The prime factorization of 406 is: 2 × 203.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 406 is divided by 2 to get 203.
Step 2: Now divide 203 by 203 to get 1.
So, the prime factorization of 406 is: 2 × 203.
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 406: (1, 406) and (2, 203).
Negative factor pairs of 406: (-1, -406) and (-2, -203).
Common Mistakes and How to Avoid Them in Factors of 406
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 406, 1 and 406 are also factors.
Factors of 406 Examples
Problem 1
There are 2 teams and 406 tickets. How will they divide it equally?
They will get 203 tickets each.
Explanation
To divide the tickets equally, we need to divide the total tickets with the number of teams.
406/2 = 203
Problem 2
A plot is rectangular, the length of the plot is 203 meters and the total area is 406 square meters. Find the width?
2 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width 406 = 203 × width
To find the value of width, we need to shift 203 to the left side.
406/203 = width
Width = 2.
Problem 3
There are 203 chairs and 406 people. How many people will share each chair?
Each chair will be shared by 2 people.
Explanation
To find the people sharing each chair, divide the total people with the number of chairs.
406/203 = 2
Problem 4
In a conference, there are 406 participants, and 203 tables. How many participants are there at each table?
There are 2 participants at each table.
Explanation
Dividing the participants with the total tables, we will get the number of participants at each table.
406/203 = 2
Problem 5
406 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 203 books.
Explanation
Divide total books with shelves.
406/2 = 203
FAQs on Factors of 406
1.What are the factors of 406?
2.Mention the prime factors of 406.
3.Is 406 a multiple of 2?
4.Mention the factor pairs of 406?
5.What is the square of 406?
6.How can children in India use numbers in everyday life to understand Factors of 406?
7.What are some fun ways kids in India can practice Factors of 406 with numbers?
8.What role do numbers and Factors of 406 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 406 skills?
Important Glossaries for Factors of 406
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 406 are 1, 2, 203, and 406.
- Prime factors: The factors which are prime numbers. For example, 2 and 203 are prime factors of 406.
- 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 406 are (1, 406) and (2, 203).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 406 is 2 × 203.
- Multiples: A multiple is the product of a number and an integer. For example, 406 is a multiple of 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.
