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Last updated on May 26th, 2025

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Factors of 258

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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 258, how they are used in real life, and the tips to learn them quickly.

Factors of 258 for US Students
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What are the Factors of 258?

The numbers that divide 258 evenly are known as factors of 258.

 

A factor of 258 is a number that divides the number without remainder.

 

The factors of 258 are 1, 2, 3, 6, 43, 86, 129, and 258.

 

Negative factors of 258: -1, -2, -3, -6, -43, -86, -129, and -258.

 

Prime factors of 258: 2, 3, and 43.

 

Prime factorization of 258: 2 × 3 × 43.

 

The sum of factors of 258: 1 + 2 + 3 + 6 + 43 + 86 + 129 + 258 = 528

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How to Find Factors of 258?

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
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 258. Identifying the numbers which are multiplied to get the number 258 is the multiplication method.

 

Step 1: Multiply 258 by 1, 258 × 1 = 258.

 

Step 2: Check for other numbers that give 258 after multiplying

 

2 × 129 = 258

3 × 86 = 258

6 × 43 = 258

 

Therefore, the positive factor pairs of 258 are: (1, 258), (2, 129), (3, 86), (6, 43). All these factor pairs result in 258. For every positive factor, there is a negative factor.

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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 the simple division method -

 

Step 1: Divide 258 by 1, 258 ÷ 1 = 258.

 

Step 2: Continue dividing 258 by the numbers until the remainder becomes 0.

 

258 ÷ 1 = 258

258 ÷ 2 = 129

258 ÷ 3 = 86

258 ÷ 6 = 43

 

Therefore, the factors of 258 are: 1, 2, 3, 6, 43, 86, 129, 258.

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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 258 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

258 ÷ 2 = 129

129 ÷ 3 = 43

43 ÷ 43 = 1

 

The prime factors of 258 are 2, 3, and 43.

 

The prime factorization of 258 is: 2 × 3 × 43.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

 

Step 1: Firstly, 258 is divided by 2 to get 129.

 

Step 2: Now divide 129 by 3 to get 43.

 

Step 3: Finally, divide 43 by 43 to get 1.

 

So, the prime factorization of 258 is: 2 × 3 × 43.

 

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 258: (1, 258), (2, 129), (3, 86), (6, 43).

 

Negative factor pairs of 258: (-1, -258), (-2, -129), (-3, -86), (-6, -43).

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Common Mistakes and How to Avoid Them in Factors of 258

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

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Forgetting the number itself and 1 is a factor

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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 258, 1 and 258 are also factors.

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Factors of 258 Examples

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Problem 1

There are 6 bicycles and 258 wheels. How many wheels are on each bicycle?

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Each bicycle has 43 wheels.

Explanation

To find the wheels on each bicycle, we need to divide the total wheels by the number of bicycles.

 

258/6 = 43

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Problem 2

A rectangular garden has a width of 3 meters, and the total area is 258 square meters. What is the length of the garden?

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86 meters.

Explanation

To find the length of the garden, we use the formula, Area = length × width

 

258 = length × 3

 

To find the value of length, we need to divide 258 by 3.

 

258/3 = length

 

Length = 86.

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Problem 3

There are 129 apples and 2 baskets. How many apples will be in each basket?

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Each basket will have 64 apples.

Explanation

To find the apples in each basket, divide the total apples by the baskets.

 

258/2 = 129

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Problem 4

A school has 258 students, and they are divided into 43 teams. How many students are there in each team?

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There are 6 students in each team.

Explanation

Dividing the students by the total teams, we will get the number of students in each team.

 

258/43 = 6

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Problem 5

A library has 258 books that need to be arranged in 43 shelves. How many books will go on each shelf?

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Each of the shelves has 6 books.

Explanation

Divide total books by shelves.

 

258/43 = 6

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FAQs on Factors of 258

1.What are the factors of 258?

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2.Mention the prime factors of 258.

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3.Is 258 a multiple of 3?

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4.Mention the factor pairs of 258?

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5.What is the square of 258?

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6.How can children in United States use numbers in everyday life to understand Factors of 258?

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7.What are some fun ways kids in United States can practice Factors of 258 with numbers?

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8.What role do numbers and Factors of 258 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors of 258 skills?

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Important Glossaries for Factors of 258

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 258 are 1, 2, 3, 6, 43, 86, 129, and 258.

     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 43 are prime factors of 258.

     
  • 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 258 are (1, 258), (2, 129), etc.

     
  • Prime factorization: The expression of a number as the product of its prime factors. For 258, it is 2 × 3 × 43.

     
  • Negative factors: Factors that are negative numbers. For example, -1, -2, -3, -6, -43, -86, -129, and -258 are the negative factors of 258.
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 258, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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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.

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Fun Fact

: She loves to read number jokes and games.

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