101 LearnersLast updated on May 26th, 2025
Factors of 426
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 426, how they are used in real life, and tips to learn them quickly.
What are the Factors of 426?
The numbers that divide 426 evenly are known as factors of 426.
A factor of 426 is a number that divides the number without remainder.
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, and 426.
Negative factors of 426: -1, -2, -3, -6, -71, -142, -213, and -426.
Prime factors of 426: 2, 3, and 71.
Prime factorization of 426: 2 × 3 × 71.
The sum of factors of 426: 1 + 2 + 3 + 6 + 71 + 142 + 213 + 426 = 864
How to Find Factors of 426?
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 426. Identifying the numbers which are multiplied to get the number 426 is the multiplication method.
Step 1: Multiply 426 by 1, 426 × 1 = 426.
Step 2: Check for other numbers that give 426 after multiplying
2 × 213 = 426
3 × 142 = 426
6 × 71 = 426
Therefore, the positive factor pairs of 426 are: (1, 426), (2, 213), (3, 142), (6, 71).
All these factor pairs result in 426.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 a simple division method -
Step 1: Divide 426 by 1, 426 ÷ 1 = 426.
Step 2: Continue dividing 426 by the numbers until the remainder becomes 0.
426 ÷ 1 = 426
426 ÷ 2 = 213
426 ÷ 3 = 142
426 ÷ 6 = 71
Therefore, the factors of 426 are: 1, 2, 3, 6, 71, 142, 213, 426.
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 426 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
426 ÷ 2 = 213
213 ÷ 3 = 71
71 ÷ 71 = 1
The prime factors of 426 are 2, 3, and 71.
The prime factorization of 426 is: 2 × 3 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 426 is divided by 2 to get 213.
Step 2: Now divide 213 by 3 to get 71.
Step 3: Here, 71 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 426 is: 2 × 3 × 71.
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 426: (1, 426), (2, 213), (3, 142), and (6, 71).
Negative factor pairs of 426: (-1, -426), (-2, -213), (-3, -142), and (-6, -71).
Common Mistakes and How to Avoid Them in Factors of 426
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 as 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 426, 1 and 426 are also factors.
Factors of 426 Examples
Problem 1
There are 426 apples and 6 baskets. How will they divide the apples equally?
They will get 71 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
426/6 = 71
Problem 2
A rectangular garden has a length of 71 meters and a total area of 426 square meters. Find the width.
6 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
426 = 71 × width
To find the value of width, we need to shift 71 to the left side.
426/71 = width
Width = 6.
Problem 3
There are 3 trucks and 426 boxes. How many boxes will be in each truck?
Each truck will have 142 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
426/3 = 142
Problem 4
In a school, there are 426 students and 213 pairs of shoes. How many students share one pair of shoes?
2 students share one pair of shoes.
Explanation
Dividing the students by the total pairs of shoes, we will get the number of students per pair.
426/213 = 2
Problem 5
426 chairs need to be arranged in 71 rows. How many chairs will go in each row?
Each row will have 6 chairs.
Explanation
Divide total chairs by rows.
426/71 = 6
FAQs on Factors of 426
1.What are the factors of 426?
2.Mention the prime factors of 426.
3.Is 426 a multiple of 6?
4.Mention the factor pairs of 426?
5.What is the square of 426?
6.How can children in Canada use numbers in everyday life to understand Factors of 426?
7.What are some fun ways kids in Canada can practice Factors of 426 with numbers?
8.What role do numbers and Factors of 426 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 426 skills?
Important Glossaries for Factors of 426
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 426 are 1, 2, 3, 6, 71, 142, 213, and 426.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 71 are prime factors of 426.
- 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 426 are (1, 426), (2, 213), etc.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A method used to find factors by dividing the original number by whole numbers until the remainder is zero.
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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.
