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Last updated on May 26th, 2025

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Factors of 2900

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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 2900, how they are used in real life, and tips to learn them quickly.

Factors of 2900 for Singaporean Students
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What are the Factors of 2900?

The numbers that divide 2900 evenly are known as factors of 2900.

 

A factor of 2900 is a number that divides the number without remainder.

 

The factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 200, 290, 580, 725, 1450, and 2900.

 

Negative factors of 2900: -1, -2, -4, -5, -10, -20, -25, -29, -50, -58, -100, -116, -145, -200, -290, -580, -725, -1450, and -2900.

 

Prime factors of 2900: 2, 5, and 29.

 

Prime factorization of 2900: 2² × 5² × 29.

 

The sum of factors of 2900: 1 + 2 + 4 + 5 + 10 + 20 + 25 + 29 + 50 + 58 + 100 + 116 + 145 + 200 + 290 + 580 + 725 + 1450 + 2900 = 7720

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How to Find Factors of 2900?

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 2900. Identifying the numbers which are multiplied to get the number 2900 is the multiplication method.

 

Step 1: Multiply 2900 by 1, 2900 × 1 = 2900.

 

Step 2: Check for other numbers that give 2900 after multiplying

 

2 × 1450 = 2900

4 × 725 = 2900

5 × 580 = 2900

10 × 290 = 2900

20 × 145 = 2900

25 × 116 = 2900

29 × 100 = 2900

50 × 58 = 2900

 

Therefore, the positive factor pairs of 2900 are: (1, 2900), (2, 1450), (4, 725), (5, 580), (10, 290), (20, 145), (25, 116), (29, 100), and (50, 58). For every positive factor, there is a negative factor.

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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 2900 by 1, 2900 ÷ 1 = 2900.

 

Step 2: Continue dividing 2900 by the numbers until the remainder becomes 0.

 

2900 ÷ 1 = 2900

2900 ÷ 2 = 1450

2900 ÷ 4 = 725

2900 ÷ 5 = 580

2900 ÷ 10 = 290

2900 ÷ 20 = 145

2900 ÷ 25 = 116

2900 ÷ 29 = 100

2900 ÷ 50 = 58

 

Therefore, the factors of 2900 are: 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 200, 290, 580, 725, 1450, and 2900.

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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

     

Using Prime Factorization: In this process, prime factors of 2900 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

 

2900 ÷ 2 = 1450

1450 ÷ 2 = 725

725 ÷ 5 = 145

145 ÷ 5 = 29

29 ÷ 29 = 1

 

The prime factors of 2900 are 2, 5, and 29.

 

The prime factorization of 2900 is: 2² × 5² × 29.

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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, 2900 is divided by 2 to get 1450.

 

Step 2: Now divide 1450 by 2 to get 725.

 

Step 3: Then divide 725 by 5 to get 145.

 

Step 4: Divide 145 by 5 to get 29. Here, 29 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 2900 is: 2² × 5² × 29.

 

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 2900: (1, 2900), (2, 1450), (4, 725), (5, 580), (10, 290), (20, 145), (25, 116), (29, 100), and (50, 58).

 

Negative factor pairs of 2900: (-1, -2900), (-2, -1450), (-4, -725), (-5, -580), (-10, -290), (-20, -145), (-25, -116), (-29, -100), and (-50, -58).

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Common Mistakes and How to Avoid Them in Factors of 2900

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 2900, 1 and 2900 are also factors.

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Factors of 2900 Examples

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Problem 1

There are 29 students and 2900 pencils. How will they distribute them equally?

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They will get 100 pencils each.

Explanation

To divide the pencils equally, we need to divide the total pencils by the number of students.

 

2900/29 = 100

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Problem 2

A rectangular swimming pool has a length of 58 meters and a total area of 2900 square meters. Find the width.

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50 meters.

Explanation

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

 

Area = length × width

 

2900 = 58 × width

 

To find the value of width, we need to divide 2900 by 58.

 

2900/58 = width

 

Width = 50.

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Problem 3

There are 25 boxes and 2900 chocolates. How many chocolates will be in each box?

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Each box will have 116 chocolates.

Explanation

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

 

2900/25 = 116

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Problem 4

A bakery produces 2900 cupcakes, distributed into 580 packages. How many cupcakes are in each package?

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Each package contains 5 cupcakes.

Explanation

Dividing the cupcakes by the total packages, we will get the number of cupcakes in each package.

 

2900/580 = 5

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Problem 5

2900 books need to be arranged in 100 shelves. How many books will go on each shelf?

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Each of the shelves has 29 books.

Explanation

Divide total books by shelves.

 

2900/100 = 29

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FAQs on Factors of 2900

1.What are the factors of 2900?

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2.Mention the prime factors of 2900.

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3.Is 2900 a multiple of 29?

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4.Mention the factor pairs of 2900.

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5.What is the square of 2900?

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6.How can children in Singapore use numbers in everyday life to understand Factors of 2900?

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7.What are some fun ways kids in Singapore can practice Factors of 2900 with numbers?

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8.What role do numbers and Factors of 2900 play in helping children in Singapore develop problem-solving skills?

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9.How can families in Singapore create number-rich environments to improve Factors of 2900 skills?

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Important Glossaries for Factors of 2900

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 200, 290, 580, 725, 1450, and 2900.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 29 are prime factors of 2900.

 

  • 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 2900 are (1, 2900), (2, 1450), etc.

 

  • Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 2900 is 2² × 5² × 29.

 

  • Multiple: A number that can be divided by a certain factor without a remainder. For example, 2900 is a multiple of 29.
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About BrightChamps in Singapore

At BrightChamps, numbers are more than figures—they unlock endless opportunities! We aim to support kids across Singapore in developing key math skills, focusing on Factors of 2900 with a special emphasis on factors—in an engaging, clear, and enjoyable way. Whether your child is figuring out the speed of a ride at Universal Studios Singapore, following local football scores, or managing their allowance to buy gadgets, mastering numbers builds everyday confidence. Our interactive lessons make learning fun and easy. Because kids in Singapore learn uniquely, we tailor lessons to fit each child’s style. From city streets to scenic gardens, BrightChamps brings math to life throughout Singapore. Let’s make factors an exciting part of every child’s learning 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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