101 LearnersLast updated on May 26th, 2025
Factors of 1438
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 1438, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1438?
The numbers that divide 1438 evenly are known as factors of 1438.
A factor of 1438 is a number that divides the number without a remainder.
The factors of 1438 are 1, 2, 719, and 1438.
Negative factors of 1438: -1, -2, -719, and -1438.
Prime factors of 1438: 2 and 719.
Prime factorization of 1438: 2 × 719.
The sum of factors of 1438: 1 + 2 + 719 + 1438 = 2160
How to Find Factors of 1438?
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 1438. Identifying the numbers which are multiplied to get the number 1438 is the multiplication method.
Step 1: Multiply 1438 by 1, 1438 × 1 = 1438.
Step 2: Check for other numbers that give 1438 after multiplying 2 × 719 = 1438
Therefore, the positive factor pairs of 1438 are: (1, 1438) and (2, 719).
All these factor pairs result in 1438.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Divide the given numbers by the whole numbers until the remainder becomes zero and list out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1438 by 1, 1438 ÷ 1 = 1438.
Step 2: Continue dividing 1438 by the numbers until the remainder becomes 0.
1438 ÷ 1 = 1438
1438 ÷ 2 = 719
Therefore, the factors of 1438 are: 1, 2, 719, and 1438.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1438 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1438 ÷ 2 = 719
719 is a prime number
The prime factors of 1438 are 2 and 719.
The prime factorization of 1438 is: 2 × 719.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1438 is divided by 2 to get 719.
Step 2: 719 is a prime number and cannot be divided further.
So, the prime factorization of 1438 is: 2 × 719.
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 1438: (1, 1438) and (2, 719).
Negative factor pairs of 1438: (-1, -1438) and (-2, -719).
Common Mistakes and How to Avoid Them in Factors of 1438
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every integer. Always remember to include 1 and the number itself.
For example, in factors of 1438, 1 and 1438 are also factors.
Factors of 1438 Examples
Problem 1
A group of 719 students needs to be assigned to 2 buses equally. How many students will be in each bus?
Each bus will have 719 students.
Explanation
To divide the students equally, we need to divide the total students by the number of buses.
1438/2 = 719
Problem 2
A rectangular garden's length is 2 meters, and the total area is 1438 square meters. Find the width.
719 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1438 = 2 × width
To find the value of the width, we need to shift 2 to the left side.
1438/2 = width
Width = 719.
Problem 3
A farmer has 1438 apples and wants to pack them into 2 crates equally. How many apples will be in each crate?
Each crate will have 719 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
1438/2 = 719
Problem 4
A library has 719 books and needs to distribute them equally on 2 shelves. How many books will be on each shelf?
There are 719 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1438/2 = 719
Problem 5
1438 chocolates need to be packed in 2 boxes equally. How many chocolates will go in each box?
Each of the boxes has 719 chocolates.
Explanation
Divide total chocolates by boxes.
1438/2 = 719
FAQs on Factors of 1438
1.What are the factors of 1438?
2.Mention the prime factors of 1438.
3.Is 1438 a multiple of 2?
4.Mention the factor pairs of 1438.
5.What is the product of the prime factors of 1438?
6.How can children in Canada use numbers in everyday life to understand Factors of 1438?
7.What are some fun ways kids in Canada can practice Factors of 1438 with numbers?
8.What role do numbers and Factors of 1438 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1438 skills?
Important Glossaries for Factor of 1438
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1438 are 1, 2, 719, and 1438.
- Prime factors: The factors which are prime numbers. For example, 2 and 719 are prime factors of 1438.
- 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 1438 are (1, 1438) and (2, 719).
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1438 is 2 × 719.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, identifying 2 × 719 = 1438.
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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
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