120 LearnersLast updated on May 26th, 2025
Factors of 259
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 259, how they are used in real life, and tips to learn them quickly.
What are the Factors of 259?
The numbers that divide 259 evenly are known as factors of 259.
A factor of 259 is a number that divides the number without remainder.
The factors of 259 are 1, 7, 37, and 259.
Negative factors of 259: -1, -7, -37, and -259.
Prime factors of 259: 7 and 37.
Prime factorization of 259: 7 × 37.
The sum of factors of 259: 1 + 7 + 37 + 259 = 304
How to Find Factors of 259?
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 259. Identifying the numbers which are multiplied to get the number 259 is the multiplication method.
Step 1: Multiply 259 by 1, 259 × 1 = 259.
Step 2: Check for other numbers that give 259 after multiplying
7 × 37 = 259
Therefore, the positive factor pairs of 259 are: (1, 259) and (7, 37). All these factor pairs result in 259. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 259 by 1, 259 ÷ 1 = 259.
Step 2: Continue dividing 259 by the numbers until the remainder becomes 0.
259 ÷ 1 = 259
259 ÷ 7 = 37
259 ÷ 37 = 7
Therefore, the factors of 259 are: 1, 7, 37, 259.
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 259 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
259 ÷ 7 = 37
37 ÷ 37 = 1
The prime factors of 259 are 7 and 37.
The prime factorization of 259 is: 7 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 259 is divided by 7 to get 37
Step 2: Now divide 37 by 37 to get 1. Here, 37 is a prime number and cannot be divided anymore
So, the prime factorization of 259 is: 7 × 37.
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 259: (1, 259), (7, 37).
Negative factor pairs of 259: (-1, -259), (-7, -37).
Common Mistakes and How to Avoid Them in Factors of 259
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 259, 1 and 259 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 259 consist of -1, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor because 259/2.5 = 103.6, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 259 are prime numbers. For example, 7 and 37 are the prime factors of 259, but it has other factors like 1 and 259.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 259 as 7 × 37 and missing all the key factors.
Factors of 259 Examples
Problem 1
A group of 37 tourists wants to visit 259 locations. How many locations will each tourist visit if divided equally?
Each tourist will visit 7 locations.
Explanation
To divide the locations equally, we need to divide the total locations with the number of tourists.
259/37 = 7
Problem 2
An event has 259 participants, and the organizers want to form groups of 7. How many groups can be formed?
37 groups.
Explanation
To find the number of groups, we divide the total participants by the group size.
259/7 = 37
Problem 3
A library has 259 books and 7 shelves. How many books will be on each shelf?
Each shelf will have 37 books.
Explanation
To find the number of books on each shelf, divide the total books by the number of shelves.
259/7 = 37
Problem 4
A farm has 259 apple trees and wants to plant them in 37 rows. How many apple trees will be in each row?
There will be 7 apple trees in each row.
Explanation
Divide the total number of apple trees by the number of rows to get the number of trees per row.
259/37 = 7
Problem 5
A teacher wants to divide 259 pencils among 7 students equally. How many pencils will each student get?
Each student will get 37 pencils.
Explanation
Divide the total number of pencils by the number of students.
259/7 = 37
FAQs on Factors of 259
1.What are the factors of 259?
2.Mention the prime factors of 259.
3.Is 259 a multiple of 7?
4.Mention the factor pairs of 259?
5.What is the square of 259?
6.How can children in Qatar use numbers in everyday life to understand Factors of 259?
7.What are some fun ways kids in Qatar can practice Factors of 259 with numbers?
8.What role do numbers and Factors of 259 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 259 skills?
Important Glossaries for Factors of 259
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 259 are 1, 7, 37, and 259.
- Prime factors: The factors which are prime numbers. For example, 7 and 37 are prime factors of 259.
- 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 259 are (1, 259) and (7, 37).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 259 is 7 × 37.
- Multiples: The product of a number and an integer. For example, 259 is a multiple of 7.
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About BrightChamps in Qatar
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.
