BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon116 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1730

Professor Greenline Explaining Math Concepts

Factors are the numbers that divide any given number evenly without a 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 1730, how they are used in real life, and tips to learn them quickly.

Factors of 1730 for Bahraini Students
Professor Greenline from BrightChamps

What are the Factors of 1730?

The numbers that divide 1730 evenly are known as factors of 1730.

 

A factor of 1730 is a number that divides the number without a remainder.

 

The factors of 1730 are 1, 2, 5, 10, 173, 346, 865, and 1730.

 

Negative factors of 1730: -1, -2, -5, -10, -173, -346, -865, and -1730.

 

Prime factors of 1730: 2, 5, and 173.

 

Prime factorization of 1730: 2 × 5 × 173.

 

The sum of factors of 1730: 1 + 2 + 5 + 10 + 173 + 346 + 865 + 1730 = 3132

factors of 1730

Professor Greenline from BrightChamps

How to Find Factors of 1730?

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
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1730. Identifying the numbers that are multiplied to get the number 1730 is the multiplication method.

 

Step 1: Multiply 1730 by 1, 1730 × 1 = 1730.

 

Step 2: Check for other numbers that give 1730 after multiplying

2 × 865 = 1730

5 × 346 = 1730

10 × 173 = 1730

 

Therefore, the positive factor pairs of 1730 are: (1, 1730), (2, 865), (5, 346), (10, 173).

 

All these factor pairs result in 1730.

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

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

 

Step 1: Divide 1730 by 1, 1730 ÷ 1 = 1730.

 

Step 2: Continue dividing 1730 by the numbers until the remainder becomes 0.

1730 ÷ 1 = 1730

1730 ÷ 2 = 865

1730 ÷ 5 = 346

1730 ÷ 10 = 173

 

Therefore, the factors of 1730 are: 1, 2, 5, 10, 173, 346, 865, 1730.

Professor Greenline from BrightChamps

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 a factor tree

 

Using Prime Factorization: In this process, prime factors of 1730 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1730 ÷ 2 = 865

865 ÷ 5 = 173

173 ÷ 173 = 1

 

The prime factors of 1730 are 2, 5, and 173.

 

The prime factorization of 1730 is: 2 × 5 × 173.

Professor Greenline from BrightChamps

Factor Tree

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

 

Step 1: Firstly, 1730 is divided by 2 to get 865.

 

Step 2: Now divide 865 by 5 to get 173.

 

Step 3: Divide 173 by 173 to get 1. Here, 173 is the smallest prime number, and it cannot be divided anymore.

 

So, the prime factorization of 1730 is: 2 × 5 × 173.

 

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 1730: (1, 1730), (2, 865), (5, 346), and (10, 173).

 

Negative factor pairs of 1730: (-1, -1730), (-2, -865), (-5, -346), and (-10, -173).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1730

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Forgetting the number itself and 1 is a factor

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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 1730, 1 and 1730 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 1730 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A company has 1730 products and wants to pack them equally into 10 boxes. How many products will each box contain?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each box will contain 173 products.

Explanation

To divide the products equally, we need to divide the total products by the number of boxes.

1730/10 = 173

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A garden is rectangular, the length of the garden is 173 meters, and the total area is 1730 square meters. Find the width.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

10 meters.

Explanation

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

Area = length × width

1730 = 173 × width

To find the value of width, we need to shift 173 to the left side.

1730/173 = width

Width = 10.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

There are 346 chairs and 5 rooms. How many chairs will be in each room?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each room will have 69 chairs.

Explanation

To find the chairs in each room, divide the total chairs by the rooms.

346/5 = 69

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

In a class, there are 865 pencils and 173 students. How many pencils are there for each student?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

There are 5 pencils for each student.

Explanation

Dividing the pencils with the total students, we will get the number of pencils for each student.

865/173 = 5

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

A library received 1730 new books and wants to distribute them equally on 2 shelves. How many books will go on each shelf?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each of the shelves will have 865 books.

Explanation

Divide total books by shelves.

1730/2 = 865

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 1730

1.What are the factors of 1730?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1730.

Math FAQ Answers Dropdown Arrow

3.Is 1730 a multiple of 173?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1730?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1730?

Math FAQ Answers Dropdown Arrow

6.How can children in Bahrain use numbers in everyday life to understand Factors of 1730?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Bahrain can practice Factors of 1730 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1730 play in helping children in Bahrain develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Bahrain create number-rich environments to improve Factors of 1730 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 1730

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1730 are 1, 2, 5, 10, 173, 346, 865, and 1730.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 173 are prime factors of 1730.

 

  • 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 1730 are (1, 1730), (2, 865), etc.

 

  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1730 is 2 × 5 × 173.

 

  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, using the multiplication method for 1730 results in factors such as (1, 1730) and (2, 865).
Professor Greenline from BrightChamps

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 1730 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!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom