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Last updated on May 26th, 2025

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Factors of 2652

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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 2652, how they are used in real life, and tips to learn them quickly.

Factors of 2652 for US Students
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What are the Factors of 2652?

The numbers that divide 2652 evenly are known as factors of 2652.

 

A factor of 2652 is a number that divides the number without remainder.

 

The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 26, 51, 52, 102, 204, 221, 442, 663, 884, 1326, and 2652.

 

Negative factors of 2652: -1, -2, -3, -4, -6, -12, -13, -26, -51, -52, -102, -204, -221, -442, -663, -884, -1326, and -2652.

 

Prime factors of 2652: 2, 3, and 13.

 

Prime factorization of 2652: 2² × 3 × 13².

 

The sum of factors of 2652: 1 + 2 + 3 + 4 + 6 + 12 + 13 + 26 + 51 + 52 + 102 + 204 + 221 + 442 + 663 + 884 + 1326 + 2652 = 5668.

factors of 2652

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How to Find Factors of 2652?

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
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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 2652. Identifying the numbers which are multiplied to get the number 2652 is the multiplication method.

 

Step 1: Multiply 2652 by 1, 2652 × 1 = 2652.

 

Step 2: Check for other numbers that give 2652 after multiplying

 

2 × 1326 = 2652

3 × 884 = 2652

4 × 663 = 2652

6 × 442 = 2652

12 × 221 = 2652

13 × 204 = 2652

26 × 102 = 2652

51 × 52 = 2652

 

Therefore, the positive factor pairs of 2652 are: (1, 2652), (2, 1326), (3, 884), (4, 663), (6, 442), (12, 221), (13, 204), (26, 102), (51, 52).

 

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 2652 by 1, 2652 ÷ 1 = 2652.

 

 

Step 2: Continue dividing 2652 by the numbers until the remainder becomes 0.

 

2652 ÷ 1 = 2652

2652 ÷ 2 = 1326

2652 ÷ 3 = 884

2652 ÷ 4 = 663

2652 ÷ 6 = 442

2652 ÷ 12 = 221

2652 ÷ 13 = 204

2652 ÷ 26 = 102

2652 ÷ 51 = 52

 

Therefore, the factors of 2652 are: 1, 2, 3, 4, 6, 12, 13, 26, 51, 52, 102, 204, 221, 442, 663, 884, 1326, 2652.

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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

 

Prime Factorization: In this process, prime factors of 2652 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

2652 ÷ 2 = 1326

1326 ÷ 2 = 663

663 ÷ 3 = 221

221 ÷ 13 = 17

17 ÷ 17 = 1

 

The prime factors of 2652 are 2, 3, and 13.

 

The prime factorization of 2652 is: 2² × 3 × 13².

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Factor Tree

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

 

Step 1: Firstly, 2652 is divided by 2 to get 1326.

 

Step 2: Now divide 1326 by 2 to get 663.

 

Step 3: Then divide 663 by 3 to get 221.

 

Step 4: Divide 221 by 13 to get 17.

 

Here, 17 is a prime number that cannot be divided anymore.

 

So, the prime factorization of 2652 is: 2² × 3 × 13².

 

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 2652: (1, 2652), (2, 1326), (3, 884), (4, 663), (6, 442), (12, 221), (13, 204), (26, 102), (51, 52).

 

Negative factor pairs of 2652: (-1, -2652), (-2, -1326), (-3, -884), (-4, -663), (-6, -442), (-12, -221), (-13, -204), (-26, -102), (-51, -52).

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Common Mistakes and How to Avoid Them in Factors of 2652

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

For example, in factors of 2652, 1 and 2652 are also factors.

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Factors of 2652 Examples

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Problem 1

There are 6 offices and 2652 chairs. How will they divide them equally?

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They will get 442 chairs each.

Explanation

To divide the chairs equally, we need to divide the total chairs by the number of offices.

2652 ÷ 6 = 442

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Problem 2

A painting canvas is rectangular, with a length of 51 inches and a total area of 2652 square inches. Find the width.

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52 inches.

Explanation

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

Area = length × width

2652 = 51 × width

To find the value of width, we need to shift 51 to the left side.

2652 ÷ 51 = width

Width = 52

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Problem 3

There are 204 boxes and 2652 candies. How many candies will be in each box?

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Each box will have 13 candies.

Explanation

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

2652 ÷ 204 = 13

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Problem 4

In a convention, there are 2652 guests, and 12 tables. How many guests are there at each table?

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There are 221 guests at each table.

Explanation

Dividing the guests by the total number of tables, we will get the number of guests at each table.

2652 ÷ 12 = 221

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Problem 5

2652 apples need to be arranged in 51 baskets. How many apples will go in each basket?

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Each of the baskets has 52 apples.

Explanation

Divide total apples by baskets.

2652 ÷ 51 = 52

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FAQs on Factors of 2652

1.What are the factors of 2652?

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2.Mention the prime factors of 2652.

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3.Is 2652 a multiple of 13?

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4.Mention the factor pairs of 2652.

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5.What is the square of 2652?

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6.How can children in United States use numbers in everyday life to understand Factors of 2652?

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7.What are some fun ways kids in United States can practice Factors of 2652 with numbers?

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8.What role do numbers and Factors of 2652 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors of 2652 skills?

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Important Glossaries for Factor of 2652

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 26, 51, 52, 102, 204, 221, 442, 663, 884, 1326, 2652.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 13 are prime factors of 2652.
     
  • 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 2652 are (1, 2652), (2, 1326), etc.
     
  • Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 2652 is 2² × 3 × 13².
     
  • Multiplication method: A strategy to find factor pairs by identifying numbers that multiply to give the target number. For example, using this method to find factor pairs of 2652.
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 2652, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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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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: She loves to read number jokes and games.

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