100 LearnersLast updated on May 26th, 2025
Factors of 1459
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 1459, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1459?
The numbers that divide 1459 evenly are known as factors of 1459.
A factor of 1459 is a number that divides the number without remainder.
The factors of 1459 are 1 and 1459 because 1459 is a prime number.
Negative factors of 1459: -1 and -1459.
Prime factors of 1459: 1459 (since it is a prime number).
Prime factorization of 1459: 1459 is a prime number and cannot be factorized further.
The sum of factors of 1459: 1 + 1459 = 1460
How to Find Factors of 1459?
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 1459.
Since 1459 is a prime number, the only multiplication that gives 1459 is 1459 × 1.
Therefore, the positive factor pair of 1459 is: (1, 1459).
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 1459 by 1, 1459 ÷ 1 = 1459.
Step 2: Since 1459 is a prime number, no other whole numbers divide it evenly except itself and 1.
Therefore, the factors of 1459 are: 1 and 1459.
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: Since 1459 is a prime number, it can only be divided by itself and 1.
Thus, the prime factorization of 1459 is itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 1459 is a prime number, it cannot be broken down further into smaller prime factors.
Therefore, the prime factorization of 1459 remains 1459.
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 1459: (1, 1459).
Negative factor pairs of 1459: (-1, -1459).
Common Mistakes and How to Avoid Them in Factors of 1459
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 1459, 1 and 1459 are factors.
Factors of 1459 Examples
Problem 1
There are 1459 apples and 1 basket. How will you arrange them in the basket?
All 1459 apples will go into the 1 basket.
Explanation
To arrange the apples, place all of them in the single basket, as 1 and 1459 are the factors.
Problem 2
A field is rectangular, the length of the field is 1 meter and the total area is 1459 square meters. Find the width?
1459 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1459 = 1 × width
To find the value of width, we divide the area by the length.
1459/1 = width
Width = 1459.
Problem 3
A library has 1459 books and 1 shelf. How many books will go on the shelf?
All 1459 books will be on the shelf.
Explanation
To find the books on the shelf, divide the total books by the number of shelves.
1459/1 = 1459
Problem 4
In a class, there are 1459 students, and 1 group. How many students are in the group?
All 1459 students are in the group.
Explanation
Dividing the students by the total groups, we will get the number of students in the group.
1459/1 = 1459
Problem 5
1459 pages need to be printed in 1 run. How many pages will be printed?
All 1459 pages will be printed.
Explanation
Divide total pages by runs.
1459/1 = 1459
FAQs on Factors of 1459
1.What are the factors of 1459?
2.Mention the prime factors of 1459.
3.Is 1459 a multiple of 1?
4.Mention the factor pairs of 1459?
5.What is the square of 1459?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1459?
7.What are some fun ways kids in Vietnam can practice Factors of 1459 with numbers?
8.What role do numbers and Factors of 1459 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1459 skills?
Important Glossaries for Factor of 1459
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1459 are 1 and 1459.
- Prime factors: The factors which are prime numbers. For example, 1459 itself is a prime factor of 1459.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1459 is (1, 1459).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. 1459 is a prime number.
- Composite number: A number that has more than two factors. 1459 is not a composite number.
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About BrightChamps in Vietnam
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.
