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Last updated on May 26th, 2025

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Factors of 1747

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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 1747, how they are used in real life, and the tips to learn them quickly.

Factors of 1747 for Bahraini Students
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What are the Factors of 1747?

The numbers that divide 1747 evenly are known as factors of 1747.

 

A factor of 1747 is a number that divides the number without remainder.

 

The factors of 1747 are 1, 17, 103, and 1747.

 

Negative factors of 1747: -1, -17, -103, and -1747.

 

Prime factors of 1747: 17 and 103.

 

Prime factorization of 1747: 17 × 103.

 

The sum of factors of 1747: 1 + 17 + 103 + 1747 = 1868

factors of 1747

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How to Find Factors of 1747?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  • Finding factors using multiplication
  • Finding factors using the 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 1747. Identifying the numbers which are multiplied to get the number 1747 is the multiplication method.

 

Step 1: Multiply 1747 by 1, 1747 × 1 = 1747.

 

Step 2: Check for other numbers that give 1747 after multiplying       

17 × 103 = 1747

 

Therefore, the positive factor pairs of 1747 are: (1, 1747) and (17, 103).

 

All these factor pairs result in 1747.

 

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 1747 by 1, 1747 ÷ 1 = 1747.

 

Step 2: Continue dividing 1747 by the numbers until the remainder becomes 0.

1747 ÷ 1 = 1747

1747 ÷ 17 = 103

 

Therefore, the factors of 1747 are: 1, 17, 103, 1747.

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Prime Factors and Prime Factorization

The factors can be found by dividing it with a prime number. 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 1747 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1747 ÷ 17 = 103

103 ÷ 103 = 1

 

The prime factors of 1747 are 17 and 103.

 

The prime factorization of 1747 is: 17 × 103.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show 

 

Step 1: Firstly, 1747 is divided by 17 to get 103.

 

Step 2: Now divide 103 by 103 to get 1. Here, both 17 and 103 are prime numbers and cannot be divided anymore.

 

So, the prime factorization of 1747 is: 17 × 103.

 

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 1747: (1, 1747) and (17, 103).

 

Negative factor pairs of 1747: (-1, -1747) and (-17, -103).

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Common Mistakes and How to Avoid Them in Factors of 1747

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 1747, 1 and 1747 is also a factor.

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Factors of 1747 Examples

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Problem 1

There are 17 teams and 1747 participants. How will they distribute it equally?

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Each team will have 103 participants.

Explanation

To distribute the participants equally, we need to divide the total participants with the number of teams.

1747/17 = 103

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Problem 2

A rectangular garden has a width of 17 meters and a total area of 1747 square meters. Find the length?

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103 meters.

Explanation

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

Area = length × width       

1747 = length × 17       

To find the value of length, we need to shift 17 to the left side.       

1747/17 = length       

Length = 103.

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Problem 3

There are 103 containers and 1747 liters of water. How many liters will be in each container?

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Each container will have 17 liters.

Explanation

To find the liters in each container, divide the total liters with the containers.       

1747/103 = 17

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Problem 4

In a class, there are 1747 students, and 17 groups. How many students are there in each group?

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There are 103 students in each group.

Explanation

Dividing the students with the total groups, we will get the number of students in each group.       

1747/17 = 103

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Problem 5

1747 plants need to be arranged in 17 rows. How many plants will go in each row?

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Each row will have 103 plants.

Explanation

Divide total plants with rows.       

1747/17 = 103

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FAQs on Factors of 1747

1.What are the factors of 1747?

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2.Mention the prime factors of 1747.

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3.Is 1747 a multiple of 17?

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4.Mention the factor pairs of 1747?

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5.What is the square of 1747?

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6.How can children in Bahrain use numbers in everyday life to understand Factors of 1747?

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7.What are some fun ways kids in Bahrain can practice Factors of 1747 with numbers?

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8.What role do numbers and Factors of 1747 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 1747 skills?

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Important Glossaries for Factors of 1747

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1747 are 1, 17, 103, and 1747.

 

  • Prime factors: The factors which are prime numbers. For example, 17 and 103 are prime factors of 1747.

 

  • 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 1747 are (1, 1747) and (17, 103).

 

  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1747 is 17 × 103.

 

  • Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 1747 is a multiple of 17.
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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 1747 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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