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Last updated on May 26th, 2025

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Factors of 247

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

Factors of 247 for Bahraini Students
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What are the Factors of 247?

The numbers that divide 247 evenly are known as factors of 247.

 

A factor of 247 is a number that divides the number without remainder.

 

The factors of 247 are 1, 13, 19, and 247.

 

Negative factors of 247: -1, -13, -19, and -247.

 

Prime factors of 247: 13 and 19.

 

Prime factorization of 247: 13 × 19.

 

The sum of factors of 247: 1 + 13 + 19 + 247 = 280

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How to Find Factors of 247?

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 247. Identifying the numbers which are multiplied to get the number 247 is the multiplication method.

 

Step 1: Consider the multiplication of 1 and 247, 1 × 247 = 247.

 

Step 2: Check for other numbers that give 247 when multiplied 13 × 19 = 247

 

Therefore, the positive factor pairs of 247 are: (1, 247) and (13, 19).

 

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 247 by 1, 247 ÷ 1 = 247.

 

Step 2: Continue dividing 247 by the numbers until the remainder becomes 0.

 

247 ÷ 1 = 247

247 ÷ 13 = 19

247 ÷ 19 = 13

 

Therefore, the factors of 247 are: 1, 13, 19, and 247.

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

 

247 ÷ 13 = 19

19 ÷ 19 = 1

 

The prime factors of 247 are 13 and 19.

 

The prime factorization of 247 is: 13 × 19.

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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, divide 247 by 13 to get 19.

 

Step 2: 19 is a prime number and cannot be divided anymore.

 

So, the prime factorization of 247 is: 13 × 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 247: (1, 247) and (13, 19).

 

Negative factor pairs of 247: (-1, -247) and (-13, -19).

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Common Mistakes and How to Avoid Them in Factors of 247

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 factors for every word. Always remember to include 1 and the number itself.

 

For example, in factors of 247, 1 and 247 are also factors.

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Factors of 247 Examples

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Problem 1

There are 247 apples and 13 baskets. How many apples will go in each basket if distributed equally?

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Each basket will have 19 apples.

Explanation

To divide the apples equally, we need to divide the total apples by the number of baskets.

 

247/13 = 19

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Problem 2

A classroom has 247 chairs arranged in 13 rows. How many chairs are there in each row?

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19 chairs.

Explanation

To find the number of chairs in each row, we use the formula,

 

Total chairs = rows × chairs per row

 

247 = 13 × chairs per row

 

To find the number of chairs per row, divide the total chairs by the number of rows.

 

247/13 = 19

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Problem 3

A library has 247 books divided between 19 shelves. How many books are on each shelf?

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Each shelf will have 13 books.

Explanation

To find the books on each shelf, divide the total books by the number of shelves.

 

247/19 = 13

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Problem 4

In a garden, there are 247 flowers and 1 gardener. How many flowers does the gardener have to manage?

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The gardener has to manage 247 flowers.

Explanation

Since there is only one gardener, the total number of flowers the gardener manages is the same as the total number of flowers.

 

247/1 = 247

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Problem 5

A rectangular field has a length of 13 meters and a total area of 247 square meters. What is the width?

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19 meters.

Explanation

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

 

247 = 13 × width

 

To find the value of width, divide the total area by the length.

 

247/13 = width

 

Width = 19.

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FAQs on Factors of 247

1.What are the factors of 247?

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2.Mention the prime factors of 247.

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3.Is 247 a multiple of 13?

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4.Mention the factor pairs of 247?

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5.What is the square of 247?

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6.How can children in Bahrain use numbers in everyday life to understand Factors of 247?

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7.What are some fun ways kids in Bahrain can practice Factors of 247 with numbers?

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8.What role do numbers and Factors of 247 play in helping children in Bahrain develop problem-solving skills?

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9.How can families in Bahrain create number-rich environments to improve Factors of 247 skills?

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Important Glossaries for Factors of 247

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 247 are 1, 13, 19, and 247.

     
  • Prime factors: The factors which are prime numbers. For example, 13 and 19 are prime factors of 247.

     
  • 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 247 are (1, 247) and (13, 19).

     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 247 is 13 × 19.

     
  • Multiple: A multiple of a number is the product of that number and an integer. For example, 247 is a multiple of 13.
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About BrightChamps in Bahrain

At BrightChamps, numbers are more than just digits—they unlock countless opportunities! Our goal is to help kids all over Bahrain build essential math skills, focusing today on Factors of 247 with a special focus on factors—in a lively, fun, and easy-to-follow way. Whether your child is calculating the speed of a roller coaster at Wahooo! Waterpark, keeping track of local football scores, or managing their allowance for gadgets, mastering numbers boosts everyday confidence. Our interactive lessons make learning simple and enjoyable. Since kids in Bahrain learn in various ways, we adapt lessons to fit each learner. From Manama’s lively city to peaceful beaches, BrightChamps brings math to life all over Bahrain. Let’s make factors a fun part of every child’s math journey!
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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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