101 LearnersLast updated on May 26th, 2025
Factors of 1434
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 1434, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1434?
The numbers that divide 1434 evenly are known as factors of 1434.
A factor of 1434 is a number that divides the number without remainder.
The factors of 1434 are 1, 2, 3, 6, 239, 478, 717, and 1434.
Negative factors of 1434: -1, -2, -3, -6, -239, -478, -717, and -1434.
Prime factors of 1434: 2, 3, and 239.
Prime factorization of 1434: 2 × 3 × 239.
The sum of factors of 1434: 1 + 2 + 3 + 6 + 239 + 478 + 717 + 1434 = 2880
How to Find Factors of 1434?
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 1434. Identifying the numbers which are multiplied to get the number 1434 is the multiplication method.
Step 1: Multiply 1434 by 1, 1434 × 1 = 1434.
Step 2: Check for other numbers that give 1434 after multiplying
2 × 717 = 1434
3 × 478 = 1434
6 × 239 = 1434
Therefore, the positive factor pairs of 1434 are: (1, 1434), (2, 717), (3, 478), (6, 239).
All these factor pairs result in 1434.
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 1434 by 1, 1434 ÷ 1 = 1434.
Step 2: Continue dividing 1434 by the numbers until the remainder becomes 0.
1434 ÷ 1 = 1434
1434 ÷ 2 = 717
1434 ÷ 3 = 478
1434 ÷ 6 = 239
Therefore, the factors of 1434 are: 1, 2, 3, 6, 239, 478, 717, 1434.
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 1434 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1434 ÷ 2 = 717
717 ÷ 3 = 239
239 is a prime number and cannot be divided further.
The prime factors of 1434 are 2, 3, and 239.
The prime factorization of 1434 is: 2 × 3 × 239.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1434 is divided by 2 to get 717.
Step 2: Now divide 717 by 3 to get 239. 239 is a prime number and cannot be divided further.
So, the prime factorization of 1434 is: 2 × 3 × 239.
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 1434: (1, 1434), (2, 717), (3, 478), and (6, 239).
Negative factor pairs of 1434: (-1, -1434), (-2, -717), (-3, -478), and (-6, -239).
Common Mistakes and How to Avoid Them in Factors of 1434
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1434, 1 and 1434 are also factors.
Factors of 1434 Examples
Problem 1
There are 3 teams and 1434 points. How will they distribute the points equally?
They will get 478 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1434/3 = 478
Problem 2
A garden is rectangular, the length of the garden is 6 meters and the total area is 1434 square meters. Find the width?
239 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1434 = 6 × width
To find the value of width, we need to shift 6 to the left side.
1434/6 = width Width = 239.
Problem 3
There are 2 trucks and 1434 boxes. How many boxes will be in each truck?
Each truck will have 717 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
1434/2 = 717
Problem 4
In a company, there are 6 departments and 1434 employees. How many employees are there in each department?
There are 239 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department.
1434/6 = 239
Problem 5
1434 books need to be arranged in 3 libraries. How many books will go in each library?
Each of the libraries has 478 books.
Explanation
Divide total books by libraries.
1434/3 = 478
FAQs on Factors of 1434
1.What are the factors of 1434?
2.Mention the prime factors of 1434.
3.Is 1434 a multiple of 6?
4.Mention the factor pairs of 1434?
5.What is the square of 1434?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1434?
7.What are some fun ways kids in United Kingdom can practice Factors of 1434 with numbers?
8.What role do numbers and Factors of 1434 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1434 skills?
Important Glossaries for Factors of 1434
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1434 are 1, 2, 3, 6, 239, 478, 717, and 1434.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 239 are prime factors of 1434.
- 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 1434 are (1, 1434), (2, 717), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 1434 is expressed as 2 × 3 × 239.
- Negative factors: Factors that are negative numbers, for example, -1, -2, -3, are negative factors of 1434.
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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.
