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Last updated on May 26th, 2025

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Factors of 1735

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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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1735, how they are used in real life, and the tips to learn them quickly.

Factors of 1735 for Bahraini Students
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What are the Factors of 1735?

The numbers that divide 1735 evenly are known as factors of 1735.

 

A factor of 1735 is a number that divides the number without remainder.

 

The factors of 1735 are 1, 5, 347, and 1735.

 

Negative factors of 1735: -1, -5, -347, and -1735. Prime factors of 1735: 5 and 347.

 

Prime factorization of 1735: 5 × 347.

 

The sum of factors of 1735: 1 + 5 + 347 + 1735 = 2088.

factors of 1735

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How to Find Factors of 1735?

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 1735. Identifying the numbers which are multiplied to get the number 1735 is the multiplication method.

 

Step 1: Multiply 1735 by 1, 1735 × 1 = 1735.

 

Step 2: Check for other numbers that give 1735 after multiplying 5 × 347 = 1735

 

Therefore, the positive factor pairs of 1735 are: (1, 1735) and (5, 347).

 

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 1735 by 1, 1735 ÷ 1 = 1735.

 

Step 2: Continue dividing 1735 by the numbers until the remainder becomes 0.

1735 ÷ 1 = 1735

1735 ÷ 5 = 347

 

Therefore, the factors of 1735 are: 1, 5, 347, 1735.

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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 1735 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1735 ÷ 5 = 347

347 ÷ 347 = 1

 

The prime factors of 1735 are 5 and 347.

 

The prime factorization of 1735 is: 5 × 347.

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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, 1735 is divided by 5 to get 347.

 

Step 2: Now divide 347 by 347 to get 1. Here, both numbers are prime, indicating the end of factorization.

 

So, the prime factorization of 1735 is: 5 × 347.

 

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 1735: (1, 1735) and (5, 347).

 

Negative factor pairs of 1735: (-1, -1735) and (-5, -347).

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Common Mistakes and How to Avoid Them in Factors of 1735

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

 

For example, in factors of 1735, 1 and 1735 are also factors.

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Factors of 1735 Examples

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Problem 1

There are 5 friends, and they found a treasure of 1735 gold coins. How will they divide it equally?

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They will get 347 coins each.

Explanation

To divide the coins equally, we need to divide the total coins with the number of friends.

1735/5 = 347

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Problem 2

A rectangular mural has an area of 1735 square meters, and its length is 347 meters. What is the width?

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5 meters.

Explanation

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

Area = length × width

1735 = 347 × width

To find the value of width, we need to shift 347 to the left side.

1735/347 = width

Width = 5.

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Problem 3

A vineyard distributes 1735 bottles of wine into 347 crates. How many bottles will be in each crate?

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Each crate will have 5 bottles.

Explanation

To find the bottles in each crate, divide the total bottles with the crates.

1735/347 = 5

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Problem 4

In a library, there are 1735 books and 5 sections. How many books are there in each section?

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There are 347 books in each section.

Explanation

Dividing the books with the total sections, we will get the number of books in each section.

1735/5 = 347

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Problem 5

A total of 1735 students are taking part in a quiz, and they need to be arranged into 347 teams. How many students will be in each team?

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Each team will have 5 students.

Explanation

Divide total students with teams.

1735/347 = 5

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FAQs on Factors of 1735

1.What are the factors of 1735?

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2.Mention the prime factors of 1735.

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3.Is 1735 a multiple of 5?

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4.Mention the factor pairs of 1735?

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5.What is the square of 1735?

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6.How can children in Bahrain use numbers in everyday life to understand Factors of 1735?

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7.What are some fun ways kids in Bahrain can practice Factors of 1735 with numbers?

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8.What role do numbers and Factors of 1735 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 1735 skills?

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Important Glossaries for Factor of 1735

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1735 are 1, 5, 347, and 1735.

 

  • Prime factors: The factors which are prime numbers. For example, 5 and 347 are prime factors of 1735.

 

  • 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 1735 are (1, 1735) and (5, 347).

 

  • Prime factorization: The process of expressing a number as the product of its prime factors. For instance, the prime factorization of 1735 is 5 × 347.

 

  • Multiplication method: A method for finding factors by identifying pairs of numbers that multiply to a specific number. For example, using the multiplication method for 1735 results in pairs like (1, 1735) and (5, 347).
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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 1735 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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