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Last updated on May 26th, 2025

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Factors of 1765

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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 1765, how they are used in real life, and tips to learn them quickly.

Factors of 1765 for Bahraini Students
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What are the Factors of 1765?

The numbers that divide 1765 evenly are known as factors of 1765.

 

A factor of 1765 is a number that divides the number without remainder.

 

The factors of 1765 are 1, 5, 353, and 1765.

 

Negative factors of 1765: -1, -5, -353, and -1765.

 

Prime factors of 1765: 5 and 353.

 

Prime factorization of 1765: 5 × 353.

 

The sum of factors of 1765: 1 + 5 + 353 + 1765 = 2124

factors of 1765

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How to Find Factors of 1765?

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 1765. Identifying the numbers which are multiplied to get the number 1765 is the multiplication method.

 

Step 1: Multiply 1765 by 1, 1765 × 1 = 1765.

 

Step 2: Check for other numbers that give 1765 after multiplying 5 × 353 = 1765

 

Therefore, the positive factor pairs of 1765 are: (1, 1765) and (5, 353).

 

All these factor pairs result in 1765.

 

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as a whole number as factors. Factors can be calculated by following a simple division method 

 

Step 1: Divide 1765 by 1, 1765 ÷ 1 = 1765.

 

Step 2: Continue dividing 1765 by the numbers until the remainder becomes 0.

1765 ÷ 1 = 1765

1765 ÷ 5 = 353

 

Therefore, the factors of 1765 are: 1, 5, 353, and 1765.

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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 1765 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1765 ÷ 5 = 353

353 ÷ 353 = 1

 

The prime factors of 1765 are 5 and 353.

 

The prime factorization of 1765 is: 5 × 353.

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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, 1765 is divided by 5 to get 353.

 

Step 2: Now divide 353 by 353 to get 1. Here, 353 is a prime number and cannot be divided further.

 

So, the prime factorization of 1765 is: 5 × 353.

 

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 1765: (1, 1765) and (5, 353).

 

Negative factor pairs of 1765: (-1, -1765) and (-5, -353).

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Common Mistakes and How to Avoid Them in Factors of 1765

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 1765, 1 and 1765 are also factors.

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Factors of 1765 Examples

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Problem 1

A classroom has 5 tables and 1765 marbles. How will the teacher distribute them evenly?

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Each table will have 353 marbles.

Explanation

To distribute the marbles equally, we need to divide the total marbles by the number of tables.

1765/5 = 353

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Problem 2

A garden is rectangular, the width of the garden is 5 meters and the total area is 1765 square meters. Find the length?

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353 meters.

Explanation

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

Area = length × width

1765 = 5 × length

To find the value of length, we need to shift 5 to the left side.

1765/5 = length

Length = 353.

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Problem 3

There are 353 gift bags and 1765 candies. How many candies will be in each bag?

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Each bag will have 5 candies.

Explanation

To find the candies in each bag, divide the total candies by the bags.

1765/353 = 5

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Problem 4

In a competition, there are 1765 participants, and 5 teams. How many participants are there in each team?

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There are 353 participants in each team.

Explanation

Dividing the participants by the total teams, we will get the number of participants in each team.

1765/5 = 353

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Problem 5

1765 pencils need to be arranged in 5 boxes. How many pencils will go in each box?

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Each of the boxes has 353 pencils.

Explanation

Divide total pencils by boxes.

1765/5 = 353

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FAQs on Factors of 1765

1.What are the factors of 1765?

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2.Mention the prime factors of 1765.

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3.Is 1765 a multiple of 5?

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4.Mention the factor pairs of 1765?

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5.What is the square of 1765?

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6.How can children in Bahrain use numbers in everyday life to understand Factors of 1765?

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7.What are some fun ways kids in Bahrain can practice Factors of 1765 with numbers?

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8.What role do numbers and Factors of 1765 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 1765 skills?

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Important Glossaries for Factors of 1765

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1765 are 1, 5, 353, and 1765.

 

  • Prime factors: The factors which are prime numbers. For example, 5 and 353 are prime factors of 1765.

 

  • 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 1765 are (1, 1765) and (5, 353).

 

  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1765 is 5 × 353.

 

  • Negative factors: Factors that are negative and divide the number without remainder. For example, -1, -5, -353, and -1765 are negative factors of 1765.
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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 1765 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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