Factors of 247
2026-02-28 09:58 Diff
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Last updated on December 11, 2025

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.

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

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

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.

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: 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.

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).

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.

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Problem 1

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

Okay, lets begin

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

Well explained 👍

Problem 2

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

Okay, lets begin

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

Well explained 👍

Problem 3

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

Okay, lets begin

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

Well explained 👍

Problem 4

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

Okay, lets begin

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

Well explained 👍

Problem 5

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

Okay, lets begin

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.

Well explained 👍

FAQs on Factors of 247

1.What are the factors of 247?

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

2.Mention the prime factors of 247.

The prime factors of 247 are 13 × 19.

3.Is 247 a multiple of 13?

4.Mention the factor pairs of 247?

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

5.What is the square of 247?

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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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.