100 LearnersLast updated on May 26th, 2025
Factors of 266
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 266, how they are used in real life, and tips to learn them quickly.
What are the Factors of 266?
The numbers that divide 266 evenly are known as factors of 266. A factor of 266 is a number that divides the number without remainder.
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, and 266.
Negative factors of 266: -1, -2, -7, -14, -19, -38, -133, and -266.
Prime factors of 266: 2, 7, and 19.
Prime factorization of 266: 2 × 7 × 19.
The sum of factors of 266: 1 + 2 + 7 + 14 + 19 + 38 + 133 + 266 = 480
How to Find Factors of 266?
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 266. Identifying the numbers which are multiplied to get the number 266 is the multiplication method.
Step 1: Multiply 266 by 1, 266 × 1 = 266.
Step 2: Check for other numbers that give 266 after multiplying 2 × 133 = 266
7 × 38 = 266
14 × 19 = 266
Therefore, the positive factor pairs of 266 are: (1, 266), (2, 133), (7, 38), (14, 19). All these factor pairs result in 266. 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 266 by 1, 266 ÷ 1 = 266.
Step 2: Continue dividing 266 by the numbers until the remainder becomes 0.
266 ÷ 1 = 266
266 ÷ 2 = 133
266 ÷ 7 = 38
266 ÷ 14 = 19
Therefore, the factors of 266 are: 1, 2, 7, 14, 19, 38, 133, 266.
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 266 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
266 ÷ 2 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
The prime factors of 266 are 2, 7, and 19. The prime factorization of 266 is: 2 × 7 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 266 is divided by 2 to get 133.
Step 2: Now divide 133 by 7 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 266 is: 2 × 7 × 19.
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 266: (1, 266), (2, 133), (7, 38), and (14, 19).
Negative factor pairs of 266: (-1, -266), (-2, -133), (-7, -38), and (-14, -19).
Common Mistakes and How to Avoid Them in Factors of 266
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 266, 1 and 266 is also a factor.
Factors of 266 Examples
Problem 1
A gardener has 266 plants and wants to plant them in 7 equal rows. How many plants will be in each row?
There will be 38 plants in each row.
Explanation
To divide the plants equally, we need to divide the total plants by the number of rows. 266/7 = 38
Problem 2
A rectangular room has an area of 266 square meters and a length of 19 meters. What is the width of the room?
14 meters.
Explanation
To find the width of the room, we use the formula,
Area = length × width
266 = 19 × width
To find the value of width, we need to shift 19 to the left side.
266/19 = width
Width = 14.
Problem 3
A baker has 266 cupcakes and wants to distribute them equally into 2 baskets. How many cupcakes will each basket have?
Each basket will have 133 cupcakes.
Explanation
To find the cupcakes in each basket, divide the total cupcakes by the baskets.
266/2 = 133
Problem 4
A teacher has 266 art supplies and wants to distribute them equally among 14 students. How many supplies will each student get?
Each student will get 19 supplies.
Explanation
Dividing the art supplies by the total students, we will get the number of supplies each student gets.
266/14 = 19
Problem 5
A library has 266 books that need to be arranged on 38 shelves equally. How many books will go on each shelf?
Each shelf will have 7 books.
Explanation
Divide the total books by the number of shelves.
266/38 = 7
FAQs on Factors of 266
1.What are the factors of 266?
2.Mention the prime factors of 266.
3.Is 266 a multiple of 19?
4.Mention the factor pairs of 266?
5.What is the square of 266?
6.How can children in Australia use numbers in everyday life to understand Factors of 266?
7.What are some fun ways kids in Australia can practice Factors of 266 with numbers?
8.What role do numbers and Factors of 266 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 266 skills?
Important Glossaries for Factors of 266
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 266 are 1, 2, 7, 14, 19, 38, 133, and 266.
- Prime Factors: The factors which are prime numbers. For example, 2, 7, and 19 are prime factors of 266.
- 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 266 are (1, 266), (2, 133), etc.
- Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 266 is 2 × 7 × 19.
- Negative Factors: Factors that are negative counterparts of positive factors. For example, -1, -2, -7, etc., are negative factors of 266.
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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.
