BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon116 Learners

Last updated on May 28th, 2025

Math Whiteboard Illustration

Factors of 1316

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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1316, how they are used in real life, and the tips to learn them quickly.

Factors of 1316 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 1316?

The numbers that divide 1316 evenly are known as factors of 1316.

 

A factor of 1316 is a number that divides the number without remainder.

 

The factors of 1316 are 1, 2, 4, 7, 13, 14, 28, 47, 94, 188, 329, 658, and 1316.

 

Negative factors of 1316: -1, -2, -4, -7, -13, -14, -28, -47, -94, -188, -329, -658, and -1316.

 

Prime factors of 1316: 2, 7, and 47.

 

Prime factorization of 1316: 22 × 7 × 47.

 

The sum of factors of 1316: 1 + 2 + 4 + 7 + 13 + 14 + 28 + 47 + 94 + 188 + 329 + 658 + 1316 = 2701

factors of 1316

Professor Greenline from BrightChamps

How to Find Factors of 1316?

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 1316. Identifying the numbers which are multiplied to get the number 1316 is the multiplication method.

 

Step 1: Multiply 1316 by 1, 1316 × 1 = 1316.

 

Step 2: Check for other numbers that give 1316 after multiplying     

 

2 × 658 = 1316     

4 × 329 = 1316     

7 × 188 = 1316     

13 × 101 = 1316

 

Therefore, the positive factor pairs of 1316 are: (1, 1316), (2, 658), (4, 329), (7, 188), and (13, 101).

 

All these factor pairs result in 1316. 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 1316 by 1, 1316 ÷ 1 = 1316.

 

Step 2: Continue dividing 1316 by the numbers until the remainder becomes 0.

 

1316 ÷ 1 = 1316

1316 ÷ 2 = 658

1316 ÷ 4 = 329

1316 ÷ 7 = 188

1316 ÷ 13 = 101

 

Therefore, the factors of 1316 are: 1, 2, 4, 7, 13, 14, 28, 47, 94, 188, 329, 658, 1316.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing them 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 1316 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

1316 ÷ 2 = 658

658 ÷ 2 = 329

329 ÷ 7 = 47

47 ÷ 47 = 1

 

The prime factors of 1316 are 2, 7, and 47.

 

The prime factorization of 1316 is: 22 × 7 × 47.

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, 1316 is divided by 2 to get 658.

 

Step 2: Now divide 658 by 2 to get 329.

 

Step 3: Then divide 329 by 7 to get 47.

Here, 47 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 1316 is: 22 × 7 × 47.

 

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 1316: (1, 1316), (2, 658), (4, 329), (7, 188), (13, 101).

 

Negative factor pairs of 1316: (-1, -1316), (-2, -658), (-4, -329), (-7, -188), (-13, -101).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1316

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 1316, 1 and 1316 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 1316 Examples

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

Problem 1

There are 4 teams and 1316 points to distribute. How many points will each team get?

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

Each team will get 329 points.

Explanation

To divide the points equally, we need to divide the total points by the number of teams.

 

1316/4 = 329

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

Problem 2

A rectangular garden has a length of 47 meters, and the total area is 1316 square meters. Find the width.

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

28 meters.

Explanation

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

 

Area = length × width     

 

1316 = 47 × width     

 

To find the value of width, we need to shift 47 to the left side.

 

1316/47 = width     

 

Width = 28.

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

Problem 3

There are 7 sections and 1316 seats in a hall. How many seats will each section have?

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

Each section will have 188 seats.

Explanation

To find the seats in each section, divide the total seats by the sections.     

 

1316/7 = 188

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

Problem 4

In a factory, there are 1316 products and 13 boxes. How many products go in each box?

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

Each box will have 101 products.

Explanation

Dividing the products by the total boxes, we will get the number of products in each box.     

 

1316/13 = 101

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

Problem 5

1316 books need to be arranged 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 658 books.

Explanation

Divide the total books by the shelves.     

 

1316/2 = 658

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

FAQs on Factors of 1316

1.What are the factors of 1316?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1316.

Math FAQ Answers Dropdown Arrow

3.Is 1316 a multiple of 4?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1316?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1316?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 1316?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 1316 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1316 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 1316 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 1316

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1316 are 1, 2, 4, 7, 13, 14, 28, 47, 94, 188, 329, 658, and 1316.

     
  • Prime factors: The factors which are prime numbers. For example, 2, 7, and 47 are prime factors of 1316.

     
  • 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 1316 are (1, 1316), (2, 658), etc.

     
  • Prime factorization: Decomposing a number into a product of prime numbers. For example, the prime factorization of 1316 is 22 × 7 × 47.

     
  • Negative factors: Factors that are negative. For example, -1, -2, -4, -7, are negative factors of 1316.
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 1316 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