BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon102 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1714

Professor Greenline Explaining Math Concepts

Factors are 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 1714, how they are used in real life, and tips to learn them quickly.

Factors of 1714 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 1714?

The numbers that divide 1714 evenly are known as factors of 1714.

 

A factor of 1714 is a number that divides the number without remainder.

 

The factors of 1714 are 1, 2, 857, and 1714.

 

Negative factors of 1714: -1, -2, -857, and -1714.

 

Prime factors of 1714: 2 and 857.

 

Prime factorization of 1714: 2 × 857.

 

The sum of factors of 1714: 1 + 2 + 857 + 1714 = 2574

Professor Greenline from BrightChamps

How to Find Factors of 1714?

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 1714. Identifying the numbers that are multiplied to get the number 1714 is the multiplication method.

 

Step 1: Multiply 1714 by 1, 1714 × 1 = 1714.

 

Step 2: Check for other numbers that give 1714 after multiplying 2 × 857 = 1714

 

Therefore, the positive factor pairs of 1714 are: (1, 1714) and (2, 857).

 

All these factor pairs result in 1714.

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

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

 

Step 1: Divide 1714 by 1, 1714 ÷ 1 = 1714.

 

Step 2: Continue dividing 1714 by numbers until the remainder becomes 0.

 

1714 ÷ 1 = 1714

1714 ÷ 2 = 857

 

Therefore, the factors of 1714 are: 1, 2, 857, and 1714.

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 factor tree

 

Using Prime Factorization: In this process, prime factors of 1714 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

 

1714 ÷ 2 = 857

857 ÷ 857 = 1

 

The prime factors of 1714 are 2 and 857.

 

The prime factorization of 1714 is: 2 × 857.

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, 1714 is divided by 2 to get 857.

 

Step 2: Now, divide 857 by 857 to get 1. Here, 857 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1714 is: 2 × 857.

 

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 1714: (1, 1714) and (2, 857).

 

Negative factor pairs of 1714: (-1, -1714) and (-2, -857).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1714

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 1714, 1 and 1714 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 1714 Examples

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

Problem 1

A company has 1714 promotional items, and they want to distribute them equally among 2 branches. How many items will each branch receive?

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

Each branch will receive 857 items.

Explanation

To divide the items equally, we need to divide the total items by the number of branches.

 

1714/2 = 857

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

Problem 2

A rectangular park has an area of 1714 square meters. If the length of the park is 857 meters, find the width.

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

2 meters.

Explanation

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

 

Area = length × width

 

1714 = 857 × width

 

To find the value of width, we need to shift 857 to the left side.

 

1714/857 = width

 

Width = 2.

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

Problem 3

A company buys 1714 units of a product and wants to store them in 857 boxes. How many units will each box contain?

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

Each box will contain 2 units.

Explanation

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

 

1714/857 = 2

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

Problem 4

A concert hall has 1714 seats, and there are 2 sections. How many seats are there in each section?

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

There are 857 seats in each section.

Explanation

Dividing the seats by the total sections, we will get the number of seats in each section.

 

1714/2 = 857

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

Problem 5

A library has 1714 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 has 857 books.

Explanation

Divide total books by shelves.

 

1714/2 = 857

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

FAQs on Factors of 1714

1.What are the factors of 1714?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1714.

Math FAQ Answers Dropdown Arrow

3.Is 1714 a multiple of 2?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1714?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1714?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 1714?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 1714 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1714 play in helping children in Qatar develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Qatar create number-rich environments to improve Factors of 1714 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 1714

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1714 are 1, 2, 857, and 1714.
     
  • Prime factors: The factors which are prime numbers. For example, 2 and 857 are prime factors of 1714.
     
  • 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 1714 are (1, 1714) and (2, 857).
     
  • Prime factorization: The process of expressing a number as the product of its prime factors, such as 1714 = 2 × 857.
     
  • Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to yield the original number. For example, pairs for 1714 are (1, 1714) and (2, 857).
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 1714 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting 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