BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1748

Professor Greenline Explaining Math Concepts

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 1748, how they are used in real life, and tips to learn them quickly.

Factors of 1748 for Bahraini Students
Professor Greenline from BrightChamps

What are the Factors of 1748?

The numbers that divide 1748 evenly are known as factors of 1748.

 

A factor of 1748 is a number that divides the number without remainder.

 

The factors of 1748 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 349, 532, 698, 1748.

 

Negative factors of 1748: -1, -2, -4, -7, -14, -19, -28, -38, -76, -133, -266, -349, -532, -698, -1748.

 

Prime factors of 1748: 2, 7, and 19.

 

Prime factorization of 1748: 2 × 2 × 7 × 19.

 

The sum of factors of 1748: 1 + 2 + 4 + 7 + 14 + 19 + 28 + 38 + 76 + 133 + 266 + 349 + 532 + 698 + 1748 = 3926

factors of 1748

Professor Greenline from BrightChamps

How to Find Factors of 1748?

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
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 1748. Identifying the numbers which are multiplied to get the number 1748 is the multiplication method.

 

Step 1: Multiply 1748 by 1, 1748 × 1 = 1748.

 

Step 2: Check for other numbers that give 1748 after multiplying  

2 × 874 = 1748  

4 × 437 = 1748  

7 × 249 = 1748  

14 × 124 = 1748  

19 × 92 = 1748  

28 × 62 = 1748  

38 × 46 = 1748

 

Therefore, the positive factor pairs of 1748 are: (1, 1748), (2, 874), (4, 437), (7, 249), (14, 124), (19, 92), (28, 62), (38, 46).

 

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

 

Step 1: Divide 1748 by 1, 1748 ÷ 1 = 1748.

 

Step 2: Continue dividing 1748 by the numbers until the remainder becomes 0.

1748 ÷ 1 = 1748

1748 ÷ 2 = 874

1748 ÷ 4 = 437

1748 ÷ 7 = 249

1748 ÷ 14 = 124

1748 ÷ 19 = 92

1748 ÷ 28 = 62

1748 ÷ 38 = 46

 

Therefore, the factors of 1748 are: 1, 2, 4, 7, 14, 19, 28, 38, 46, 62, 92, 124, 249, 437, 874, 1748.

Professor Greenline from BrightChamps

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 1748 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1748 ÷ 2 = 874

874 ÷ 2 = 437

437 ÷ 7 = 62.428 (not whole, so divide by next prime)

437 ÷ 19 = 23

23 ÷ 23 = 1

 

The prime factors of 1748 are 2, 7, and 19.

 

The prime factorization of 1748 is: 2 × 2 × 7 × 19.

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, 1748 is divided by 2 to get 874.

 

Step 2: Now divide 874 by 2 to get 437.

 

Step 3: Divide 437 by 19 to get 23. Here, 23 is a prime number, that cannot be divided anymore.

 

So, the prime factorization of 1748 is: 2 × 2 × 7 × 19.

 

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 1748: (1, 1748), (2, 874), (4, 437), (7, 249), (14, 124), (19, 92), (28, 62), (38, 46).

 

Negative factor pairs of 1748: (-1, -1748), (-2, -874), (-4, -437), (-7, -249), (-14, -124), (-19, -92), (-28, -62), (-38, -46).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1748

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 1748, 1 and 1748 is also a factor.

Max from BrightChamps Saying "Hey"

Factors of 1748 Examples

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

Problem 1

There are 14 students and 1748 candies. How will they divide it equally?

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

They will get 124 candies each.

Explanation

To divide the candies equally, we need to divide the total candies with the number of students.

1748/14 = 124

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

Problem 2

A rectangular garden has a length of 38 meters and a total area of 1748 square meters. What is the width?

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

46 meters.

Explanation

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

Area = length × width  

1748 = 38 × width  

To find the value of width, we need to shift 38 to the left side.  

1748/38 = width  

Width = 46.

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

Problem 3

There are 92 packages and 1748 items. How many items will be in each package?

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

Each package will have 19 items.

Explanation

To find the items in each package, divide the total items with the packages.  

1748/92 = 19

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

Problem 4

In a warehouse, there are 1748 boxes, and 7 sections. How many boxes are there in each section?

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

There are 249 boxes in each section.

Explanation

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

1748/7 = 249

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

Problem 5

1748 books need to be distributed into 38 shelves. How many books will go on each shelf?

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

Each of the shelves has 46 books.

Explanation

Divide total books with shelves.  

1748/38 = 46

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

FAQs on Factors of 1748

1.What are the factors of 1748?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1748.

Math FAQ Answers Dropdown Arrow

3.Is 1748 a multiple of 14?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1748?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1748?

Math FAQ Answers Dropdown Arrow

6.How can children in Bahrain use numbers in everyday life to understand Factors of 1748?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Bahrain can practice Factors of 1748 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1748 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 1748 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 1748

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1748 are 1, 2, 4, 7, 14, 19, etc.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 7, and 19 are prime factors of 1748.

 

  • 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 1748 are (1, 1748), (2, 874), etc.

 

  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1748 is 2 × 2 × 7 × 19.

 

  • Multiples: Numbers that are the product of a given number and an integer. For example, 1748 is a multiple of 14.
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 1748 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