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Last updated on May 26th, 2025

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Factors of 508

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

Factors of 508 for Saudi Students
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What are the Factors of 508?

The numbers that divide 508 evenly are known as factors of 508.

 

A factor of 508 is a number that divides the number without remainder.

 

The factors of 508 are 1, 2, 4, 127, 254, and 508.

 

Negative factors of 508: -1, -2, -4, -127, -254, and -508.

 

Prime factors of 508: 2 and 127.

 

Prime factorization of 508: 2² × 127.

 

The sum of factors of 508: 1 + 2 + 4 + 127 + 254 + 508 = 896

 

factors of 508

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How to Find Factors of 508?

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 508. Identifying the numbers which are multiplied to get the number 508 is the multiplication method.

 

Step 1: Multiply 508 by 1, 508 × 1 = 508.

 

Step 2: Check for other numbers that give 508 after multiplying

 

2 × 254 = 508

4 × 127 = 508

 

Therefore, the positive factor pairs of 508 are: (1, 508), (2, 254), and (4, 127).

 

All these factor pairs result in 508.

 

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 a simple division method -

 

Step 1: Divide 508 by 1, 508 ÷ 1 = 508.

 

Step 2: Continue dividing 508 by the numbers until the remainder becomes 0.

 

508 ÷ 1 = 508

508 ÷ 2 = 254

508 ÷ 4 = 127

 

Therefore, the factors of 508 are: 1, 2, 4, 127, 254, 508.

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

 

508 ÷ 2 = 254

254 ÷ 2 = 127

127 ÷ 127 = 1

 

The prime factors of 508 are 2 and 127.

 

The prime factorization of 508 is: 2² × 127.

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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, 508 is divided by 2 to get 254.

 

Step 2: Now divide 254 by 2 to get 127.

 

Step 3: 127 is a prime number, that cannot be divided anymore.

 

So, the prime factorization of 508 is: 2² × 127.

 

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 508: (1, 508), (2, 254), and (4, 127).

 

Negative factor pairs of 508: (-1, -508), (-2, -254), and (-4, -127).

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Common Mistakes and How to Avoid Them in Factors of 508

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 508, 1 and 508 are also factors.

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Factors of 508 Examples

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Problem 1

There are 4 teams and 508 points. How will they distribute the points equally among the teams?

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They will get 127 points each.

Explanation

To distribute the points equally, we need to divide the total points by the number of teams.

508/4 = 127

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Problem 2

A rectangular garden has a width of 4 meters and a total area of 508 square meters. Find the length.

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127 meters.

Explanation

To find the length of the garden, we use the formula,

Area = length × width

508 = length × 4

To find the value of the length, we need to divide 508 by 4.

508/4 = length

Length = 127.

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Problem 3

There are 127 packages and 508 items. How many items will be in each package?

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Each package will have 4 items.

Explanation

To find the items in each package, divide the total items by the number of packages.

508/127 = 4

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Problem 4

In a class, there are 508 books, and 2 shelves. How many books are there on each shelf?

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There are 254 books on each shelf.

Explanation

Dividing the books by the total shelves, we will get the number of books on each shelf.

508/2 = 254

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Problem 5

508 toys need to be packed into 127 boxes. How many toys will go into each box?

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Each box will have 4 toys.

Explanation

Divide total toys by the number of boxes.

508/127 = 4

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FAQs on Factors of 508

1.What are the factors of 508?

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2.Mention the prime factors of 508.

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3.Is 508 a multiple of 2?

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4.Mention the factor pairs of 508?

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5.What is the square of 508?

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6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 508?

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7.What are some fun ways kids in Saudi Arabia can practice Factors of 508 with numbers?

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8.What role do numbers and Factors of 508 play in helping children in Saudi Arabia develop problem-solving skills?

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9.How can families in Saudi Arabia create number-rich environments to improve Factors of 508 skills?

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Important Glossaries for Factors of 508

  • Factors: The numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 508 are 1, 2, 4, 127, 254, and 508.
     
  • Prime factors: The factors which are prime numbers. For example, 2 and 127 are prime factors of 508.
     
  • 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 508 are (1, 508), (2, 254), etc.
     
  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 508 is 2² × 127.
     
  • Multiple: A number that can be expressed as the product of another number and an integer. For example, 508 is a multiple of 2.
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About BrightChamps in Saudi Arabia

At BrightChamps, numbers represent more than just digits—they unlock a world of opportunities! Our mission is to help kids across Saudi Arabia develop important math skills, with today’s focus on Factors of 508 highlighting factors—in a lively, fun, and clear manner. Whether your child is calculating the speed of a ride at Al Hokair Land in Riyadh, following scores at local football matches, or managing their allowance for gadgets, understanding numbers boosts their confidence in everyday tasks. Our engaging lessons make learning simple and enjoyable. Since kids in Saudi Arabia learn differently, we customize lessons for each learner. From Riyadh’s busy streets to Jeddah’s historic sites, BrightChamps brings math to life throughout Saudi Arabia. Let’s make factors a fun part of every child’s math experience!
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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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