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Last updated on May 26th, 2025

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Factors of 1716

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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 1716, how they are used in real life, and tips to learn them quickly.

Factors of 1716 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 1716?

The numbers that divide 1716 evenly are known as factors of 1716.

 

A factor of 1716 is a number that divides the number without a remainder.

 

The factors of 1716 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 858, and 1716.

 

Negative factors of 1716: -1, -2, -3, -4, -6, -9, -12, -13, -18, -26, -27, -36, -39, -52, -54, -78, -108, -117, -156, -234, -351, -468, -702, -858, and -1716.

 

Prime factors of 1716: 2, 3, and 13.

 

Prime factorization of 1716: 2² × 3² × 13 × 11.

 

The sum of factors of 1716: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 13 + 18 + 26 + 27 + 36 + 39 + 52 + 54 + 78 + 108 + 117 + 156 + 234 + 351 + 468 + 702 + 858 + 1716 = 5355

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How to Find Factors of 1716?

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
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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 1716. Identifying the numbers which are multiplied to get the number 1716 is the multiplication method.

 

Step 1: Multiply 1716 by 1, 1716 × 1 = 1716.

 

Step 2: Check for other numbers that give 1716 after multiplying

 

2 × 858 = 1716

3 × 572 = 1716

4 × 429 = 1716

6 × 286 = 1716

9 × 190 = 1716

12 × 143 = 1716

13 × 132 = 1716

18 × 95 = 1716

26 × 66 = 1716

27 × 63 = 1716

36 × 47 = 1716

 

Therefore, the positive factor pairs of 1716 are: (1, 1716), (2, 858), (3, 572), (4, 429), (6, 286), (9, 190), (12, 143), (13, 132), (18, 95), (26, 66), (27, 63), and (36, 47).

 

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

 

Step 1: Divide 1716 by 1, 1716 ÷ 1 = 1716.

 

Step 2: Continue dividing 1716 by the numbers until the remainder becomes 0.

 

1716 ÷ 1 = 1716

1716 ÷ 2 = 858

1716 ÷ 3 = 572

1716 ÷ 4 = 429

1716 ÷ 6 = 286

1716 ÷ 9 = 190

1716 ÷ 12 = 143

1716 ÷ 13 = 132

1716 ÷ 18 = 95

1716 ÷ 26 = 66

1716 ÷ 27 = 63

1716 ÷ 36 = 47

 

Therefore, the factors of 1716 are: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 858, 1716.

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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 1716 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

 

1716 ÷ 2 = 858

858 ÷ 2 = 429

429 ÷ 3 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

 

The prime factors of 1716 are 2, 3, 11, and 13.

 

The prime factorization of 1716 is: 2² × 3 × 11 × 13.

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Factor Tree

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

 

Step 1: Firstly, 1716 is divided by 2 to get 858.

 

Step 2: Now divide 858 by 2 to get 429.

 

Step 3: Then divide 429 by 3 to get 143.

 

Step 4: Divide 143 by 11 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1716 is: 2² × 3 × 11 × 13.

 

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 1716: (1, 1716), (2, 858), (3, 572), (4, 429), (6, 286), (9, 190), (12, 143), (13, 132), (18, 95), (26, 66), (27, 63), and (36, 47).

 

Negative factor pairs of 1716: (-1, -1716), (-2, -858), (-3, -572), (-4, -429), (-6, -286), (-9, -190), (-12, -143), (-13, -132), (-18, -95), (-26, -66), (-27, -63), and (-36, -47).

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Common Mistakes and How to Avoid Them in Factors of 1716

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 factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 1716, 1 and 1716 are also factors.

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Factors of 1716 Examples

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Problem 1

A factory has 1716 machines, and the manager wants to divide them equally into 6 departments. How many machines will each department get?

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Each department will get 286 machines.

Explanation

To divide the machines equally, we need to divide the total number of machines by the number of departments.

 

1716/6 = 286

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Problem 2

A field is rectangular, the length of the field is 39 meters and the total area is 1716 square meters. Find the width?

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44 meters.

Explanation

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

 

Area = length × width

 

1716 = 39 × width

 

To find the value of width, we need to shift 39 to the left side.

 

1716/39 = width

 

Width = 44.

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Problem 3

There are 18 buses and 1716 passengers. How many passengers will be in each bus?

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Each bus will have 95 passengers.

Explanation

To find the passengers in each bus, divide the total number of passengers with the buses.

 

1716/18 = 95

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Problem 4

In a class, there are 1716 students, and 13 groups. How many students are there in each group?

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There are 132 students in each group.

Explanation

Dividing the students with the total groups, we will get the number of students in each group.

 

1716/13 = 132

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Problem 5

1716 books need to be arranged in 27 shelves. How many books will go on each shelf?

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Each shelf will have 63 books.

Explanation

Divide the total books by the shelves.

 

1716/27 = 63

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FAQs on Factors of 1716

1.What are the factors of 1716?

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2.Mention the prime factors of 1716.

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3.Is 1716 a multiple of 12?

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4.Mention the factor pairs of 1716?

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5.What is the square of 1716?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 1716?

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7.What are some fun ways kids in Qatar can practice Factors of 1716 with numbers?

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8.What role do numbers and Factors of 1716 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve Factors of 1716 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 1716

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1716 are 1, 2, 3, 4, etc.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, 11, and 13 are prime factors of 1716.
     
  • 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 1716 are (1, 1716), (2, 858), etc.
     
  • Prime factorization: Expressing a number as the product of its prime factors, as 1716 = 2² × 3 × 11 × 13.
     
  • Multiples: Numbers that can be obtained by multiplying the original number by an integer. For example, 1716 is a multiple of 12.
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 1716 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!
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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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