100 LearnersLast updated on May 26th, 2025
Factors of 424
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 424, how they are used in real life, and tips to learn them quickly.
What are the Factors of 424?
The numbers that divide 424 evenly are known as factors of 424.
A factor of 424 is a number that divides the number without a remainder.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, and 424.
Negative factors of 424: -1, -2, -4, -8, -53, -106, -212, and -424.
Prime factors of 424: 2 and 53.
Prime factorization of 424: 2³ × 53.
The sum of factors of 424: 1 + 2 + 4 + 8 + 53 + 106 + 212 + 424 = 810
How to Find Factors of 424?
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 424. Identifying the numbers which are multiplied to get the number 424 is the multiplication method.
Step 1: Multiply 424 by 1, 424 × 1 = 424.
Step 2: Check for other numbers that give 424 after multiplying 2 × 212 = 424 4 × 106 = 424 8 × 53 = 424
Therefore, the positive factor pairs of 424 are: (1, 424), (2, 212), (4, 106), (8, 53).
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 424 by 1, 424 ÷ 1 = 424.
Step 2: Continue dividing 424 by the numbers until the remainder becomes 0.
424 ÷ 1 = 424
424 ÷ 2 = 212
424 ÷ 4 = 106
424 ÷ 8 = 53
Therefore, the factors of 424 are: 1, 2, 4, 8, 53, 106, 212, 424.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 424 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
424 ÷ 2 = 212 212 ÷ 2 = 106 106 ÷ 2 = 53 53 ÷ 53 = 1
The prime factors of 424 are 2 and 53.
The prime factorization of 424 is: 2³ × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 424 is divided by 2 to get 212.
Step 2: Now divide 212 by 2 to get 106.
Step 3: Then divide 106 by 2 to get 53.
Step 4: Here, 53 is a prime number and cannot be divided further.
So, the prime factorization of 424 is: 2³ × 53.
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 424: (1, 424), (2, 212), (4, 106), (8, 53).
Negative factor pairs of 424: (-1, -424), (-2, -212), (-4, -106), (-8, -53).
Common Mistakes and How to Avoid Them in Factors of 424
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 424, 1 and 424 is also a factor.
Factors of 424 Examples
Problem 1
There are 8 teams and 424 balls. How will they distribute them equally?
They will get 53 balls each.
Explanation
To divide the balls equally, we need to divide the total balls with the number of teams.
424/8 = 53
Problem 2
A rectangular garden has a length of 53 meters, and the total area is 424 square meters. Find the width.
8 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
424 = 53 × width
To find the value of width, we need to shift 53 to the left side.
424/53 = width
Width = 8.
Problem 3
There are 212 plants and 424 pots. How many pots will have two plants each?
All 424 pots will have two plants each.
Explanation
To find the number of plants per pot, divide the total plants with pots.
424/212 = 2
Problem 4
In a class, there are 424 students, and 4 groups. How many students are there in each group?
There are 106 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
424/4 = 106
Problem 5
424 books need to be arranged in 53 shelves. How many books will go on each shelf?
Each of the shelves has 8 books.
Explanation
Divide total books with shelves.
424/53 = 8
FAQs on Factors of 424
1.What are the factors of 424?
2.Mention the prime factors of 424.
3.Is 424 a multiple of 8?
4.Mention the factor pairs of 424.
5.What is the square of 424?
6.How can children in India use numbers in everyday life to understand Factors of 424?
7.What are some fun ways kids in India can practice Factors of 424 with numbers?
8.What role do numbers and Factors of 424 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 424 skills?
Important Glossaries for Factors of 424
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 424 are 1, 2, 4, 8, 53, 106, 212, and 424.
- Prime factors: The factors which are prime numbers. For example, 2 and 53 are prime factors of 424.
- 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 424 are (1, 424), (2, 212), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 424 is 2³ × 53.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, using multiplication to find that 2 × 212 = 424.
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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.
