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Last updated on May 26th, 2025

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Factors of 1743

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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 1743, how they are used in real life, and tips to learn them quickly.

Factors of 1743 for Bahraini Students
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What are the Factors of 1743?

The numbers that divide 1743 evenly are known as factors of 1743.

 

A factor of 1743 is a number that divides the number without a remainder.

 

The factors of 1743 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 581, and 1743.

 

Negative factors of 1743: -1, -3, -7, -9, -21, -29, -63, -87, -203, -261, -581, and -1743.

 

Prime factors of 1743: 3, 7, and 29.

 

Prime factorization of 1743: 3 × 7 × 83.

 

The sum of factors of 1743: 1 + 3 + 7 + 9 + 21 + 29 + 63 + 87 + 203 + 261 + 581 + 1743 = 3008

factors of 1743

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How to Find Factors of 1743?

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 1743. Identifying the numbers which are multiplied to get the number 1743 is the multiplication method.

 

Step 1: Multiply 1743 by 1, 1743 × 1 = 1743.

 

Step 2: Check for other numbers that give 1743 after multiplying

3 × 581 = 1743

7 × 249 = 1743

9 × 193 = 1743

21 × 83 = 1743

29 × 61 = 1743

 

Therefore, the positive factor pairs of 1743 are: (1, 1743), (3, 581), (7, 249), (9, 193), (21, 83), and (29, 61).

 

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 in whole numbers as factors. Factors can be calculated by following a simple division method 

 

Step 1: Divide 1743 by 1, 1743 ÷ 1 = 1743.

 

Step 2: Continue dividing 1743 by the numbers until the remainder becomes 0.

1743 ÷ 1 = 1743

1743 ÷ 3 = 581

1743 ÷ 7 = 249

1743 ÷ 9 = 193

1743 ÷ 21 = 83

 

Therefore, the factors of 1743 are: 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 581, 1743.

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Prime Factors and Prime Factorization

The factors can be found by dividing it with a 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 1743 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1743 ÷ 3 = 581

581 ÷ 7 = 83

83 ÷ 29 = 1

 

The prime factors of 1743 are 3, 7, and 29.

 

The prime factorization of 1743 is: 3 × 7 × 29.

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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, 1743 is divided by 3 to get 581.

 

Step 2: Now divide 581 by 7 to get 83.

 

Step 3: Divide 83 by 29 to get 1.

 

So, the prime factorization of 1743 is: 3 × 7 × 29.

 

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 1743: (1, 1743), (3, 581), (7, 249), (9, 193), (21, 83), and (29, 61).

 

Negative factor pairs of 1743: (-1, -1743), (-3, -581), (-7, -249), (-9, -193), (-21, -83), and (-29, -61).

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Common Mistakes and How to Avoid Them in Factors of 1743

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 number. Always remember to include 1 and the number itself.

 

For example, in factors of 1743, 1 and 1743 are also factors.

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Factors of 1743 Examples

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Problem 1

There are 3 students and 1743 pages. How will they divide it equally?

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They will get 581 pages each.

Explanation

To divide the pages equally, we need to divide the total pages by the number of students.

1743/3 = 581

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Problem 2

A rectangular garden has a length of 29 meters and a total area of 1743 square meters. Find the width?

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The width is 61 meters.

Explanation

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

Area = length × width

1743 = 29 × width

To find the value of width, we need to shift 29 to the left side.

1743/29 = width

Width = 61.

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Problem 3

There are 7 boxes and 1743 chocolates. How many chocolates will be in each box?

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Each box will have 249 chocolates.

Explanation

To find the chocolates in each box, divide the total chocolates by the number of boxes.

1743/7 = 249

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Problem 4

A class has 21 students, and they have 1743 crayons. How many crayons are there for each student?

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Each student gets 83 crayons.

Explanation

Dividing the crayons by the total number of students, we will get the number of crayons per student.

1743/21 = 83

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Problem 5

1743 apples need to be arranged in 9 baskets. How many apples will go in each basket?

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Each of the baskets has 193 apples.

Explanation

Divide the total apples by the number of baskets.

1743/9 = 193

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FAQs on Factors of 1743

1.What are the factors of 1743?

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2.Mention the prime factors of 1743.

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3.Is 1743 a multiple of 7?

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4.Mention the factor pairs of 1743?

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5.What is the square of 1743?

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6.How can children in Bahrain use numbers in everyday life to understand Factors of 1743?

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7.What are some fun ways kids in Bahrain can practice Factors of 1743 with numbers?

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8.What role do numbers and Factors of 1743 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 1743 skills?

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Important Glossaries for Factors of 1743

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1743 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 581, and 1743.

 

  • Prime factors: The factors which are prime numbers. For example, 3, 7, and 29 are prime factors of 1743.

 

  • 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 1743 are (1, 1743), (3, 581), etc.

 

  • Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1743 is 3 × 7 × 29.

 

  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, using this method, 3 × 581 = 1743.
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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 1743 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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