126 LearnersLast updated on May 26th, 2025
Factors of 260
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 260, how they are used in real life, and tips to learn them quickly.
What are the Factors of 260?
The numbers that divide 260 evenly are known as factors of 260. A factor of 260 is a number that divides the number without remainder.
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260.
Negative factors of 260: -1, -2, -4, -5, -10, -13, -20, -26, -52, -65, -130, and -260.
Prime factors of 260: 2, 5, and 13.
Prime factorization of 260: 2 × 2 × 5 × 13.
The sum of factors of 260: 1 + 2 + 4 + 5 + 10 + 13 + 20 + 26 + 52 + 65 + 130 + 260 = 588
How to Find Factors of 260?
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 260. Identifying the numbers which are multiplied to get the number 260 is the multiplication method.
Step 1: Multiply 260 by 1, 260 × 1 = 260.
Step 2: Check for other numbers that give 260 after multiplying
2 × 130 = 260
4 × 65 = 260
5 × 52 = 260
10 × 26 = 260
13 × 20 = 260
Therefore, the positive factor pairs of 260 are: (1, 260), (2, 130), (4, 65), (5, 52), (10, 26), and (13, 20). 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 260 by 1, 260 ÷ 1 = 260.
Step 2: Continue dividing 260 by the numbers until the remainder becomes 0.
260 ÷ 1 = 260
260 ÷ 2 = 130
260 ÷ 4 = 65
260 ÷ 5 = 52
260 ÷ 10 = 26
260 ÷ 13 = 20
Therefore, the factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260.
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 260 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
260 ÷ 2 = 130
130 ÷ 2 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
The prime factors of 260 are 2, 5, and 13.
The prime factorization of 260 is: 2 × 2 × 5 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 260 is divided by 2 to get 130.
Step 2: Now divide 130 by 2 to get 65.
Step 3: Then divide 65 by 5 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 260 is: 2 × 2 × 5 × 13.
Factor Pair: 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 260: (1, 260), (2, 130), (4, 65), (5, 52), (10, 26), and (13, 20).
Negative factor pairs of 260: (-1, -260), (-2, -130), (-4, -65), (-5, -52), (-10, -26), and (-13, -20).
Common Mistakes and How to Avoid Them in Factors of 260
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 260, 1 and 260 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 260 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a facto
For example, thinking 1.5 as a factor, because 260/1.5 = 173.333, 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 260 are prime numbers.
For example, 2, 5, and 13 are the prime factors of 260, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 260 as 2 × 2 × 5 × 13 and missing all the key factors.
Factors of 260 Examples
Problem 1
A farmer has 260 apples to pack into bags. If each bag holds 13 apples, how many bags will he need?
He will need 20 bags.
Explanation
To find the number of bags needed, divide the total apples by the number of apples per bag.
260/13 = 20
Problem 2
A garden is rectangular, the length of the garden is 10 meters and the total area is 260 square meters. Find the width?
The width is 26 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
260 = 10 × width
To find the value of width, we need to shift 10 to the left side.
260/10 = width
Width = 26
Problem 3
There are 52 people and 260 cupcakes. How many cupcakes will each person get?
Each person will get 5 cupcakes.
Explanation
To find the cupcakes each person gets, divide the total cupcakes by the number of people.
260/52 = 5
Problem 4
A school has 130 students and wants to form teams of 10 students each. How many full teams can be formed?
13 full teams can be formed.
Explanation
Dividing the students by the team size will give the number of full teams.
130/10 = 13
Problem 5
There are 260 chairs to be arranged in rows of 4. How many rows will be there?
There will be 65 rows.
Explanation
Divide the total number of chairs by the number of chairs per row.
260/4 = 65
FAQs on Factors of 260
1.What are the factors of 260?
2.Mention the prime factors of 260.
3.Is 260 a multiple of 5?
4.Mention the factor pairs of 260?
5.What is the cube of 260?
6.How can children in Qatar use numbers in everyday life to understand Factors of 260?
7.What are some fun ways kids in Qatar can practice Factors of 260 with numbers?
8.What role do numbers and Factors of 260 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 260 skills?
Important Glossaries for Factor of 260
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 13 are prime factors of 260.
- 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 260 are (1, 260), (2, 130), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 260 is 2 × 2 × 5 × 13.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 260 is a multiple of 5.
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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.
