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Last updated on May 26th, 2025

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Factors of 3750

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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 3750, how they are used in real life, and the tips to learn them quickly.

Factors of 3750 for Indian Students
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What are the Factors of 3750?

The numbers that divide 3750 evenly are known as factors of 3750.

 

A factor of 3750 is a number that divides the number without remainder.

 

The factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 75, 125, 150, 250, 375, 750, 1250, 1875, and 3750.

 

Negative factors of 3750: -1, -2, -3, -5, -6, -10, -15, -25, -30, -37, -50, -75, -125, -150, -250, -375, -750, -1250, -1875, and -3750.

 

Prime factors of 3750: 2, 3, and 5.

 

Prime factorization of 3750: 2 × 3 × 54.

 

The sum of factors of 3750: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 25 + 30 + 37 + 50 + 75 + 125 + 150 + 250 + 375 + 750 + 1250 + 1875 + 3750 = 9479

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How to Find Factors of 3750?

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 3750. Identifying the numbers which are multiplied to get the number 3750 is the multiplication method.

 

Step 1: Multiply 3750 by 1, 3750 × 1 = 3750.

 

Step 2: Check for other numbers that give 3750 after multiplying     

2 × 1875 = 3750     

3 × 1250 = 3750    

 5 × 750 = 3750     

6 × 625 = 3750

 

Therefore, the positive factor pairs of 3750 are: (1, 3750), (2, 1875), (3, 1250), (5, 750), (6, 625). All these factor pairs result in 3750. 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 in whole numbers as factors. Factors can be calculated by following a simple division method:

 

Step 1: Divide 3750 by 1, 3750 ÷ 1 = 3750.

 

Step 2: Continue dividing 3750 by the numbers until the remainder becomes 0.

3750 ÷ 1 = 3750

3750 ÷ 2 = 1875

3750 ÷ 3 = 1250

3750 ÷ 5 = 750

3750 ÷ 6 = 625

 

Therefore, the factors of 3750 are: 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 75, 125, 150, 250, 375, 750, 1250, 1875, 3750.

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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 3750 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

3750 ÷ 2 = 1875

1875 ÷ 3 = 625

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

 

The prime factors of 3750 are 2, 3, and 5.

 

The prime factorization of 3750 is: 2 × 3 × 5^4.

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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, 3750 is divided by 2 to get 1875.

 

Step 2: Now divide 1875 by 3 to get 625.

 

Step 3: Then divide 625 by 5 to get 125.

 

Step 4: Divide 125 by 5 to get 25.

 

Step 5: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3750 is: 2 × 3 × 54.

 

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 3750: (1, 3750), (2, 1875), (3, 1250), (5, 750), and (6, 625).

 

Negative factor pairs of 3750: (-1, -3750), (-2, -1875), (-3, -1250), (-5, -750), and (-6, -625).

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Common Mistakes and How to Avoid Them in Factors of 3750

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 3750, 1 and 3750 are also factors.

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Factors of 3750 Examples

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Problem 1

There are 15 teams and 3750 points. How will they divide it equally?

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They will get 250 points each.

Explanation

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

3750/15 = 250

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Problem 2

A garden is rectangular, the length of the garden is 25 meters and the total area is 3750 square meters. Find the width?

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150 meters.

Explanation

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

Area = length × width     

3750 = 25 × width

To find the value of width, we need to shift 25 to the left side.     

3750/25 = width     

Width = 150.

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Problem 3

There are 30 baskets and 3750 apples. How many apples will be in each basket?

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Each basket will have 125 apples.

Explanation

To find the apples in each basket, divide the total apples by the baskets.     

3750/30 = 125

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Problem 4

In a conference, there are 3750 attendees, and 5 halls. How many attendees are there in each hall?

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There are 750 attendees in each hall.

Explanation

Dividing the attendees with the total halls, we will get the number of attendees in each hall.     

3750/5 = 750

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Problem 5

3750 brochures need to be distributed in 25 locations. How many brochures will go to each location?

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Each location will receive 150 brochures.

Explanation

Divide total brochures with locations.     

3750/25 = 150

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FAQs on Factors of 3750

1.What are the factors of 3750?

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2.Mention the prime factors of 3750.

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3.Is 3750 a multiple of 25?

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4.Mention the factor pairs of 3750?

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5.What is the square of 3750?

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6.How can children in India use numbers in everyday life to understand Factors of 3750?

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7.What are some fun ways kids in India can practice Factors of 3750 with numbers?

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8.What role do numbers and Factors of 3750 play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve Factors of 3750 skills?

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Important Glossaries for Factors of 3750

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 75, 125, 150, 250, 375, 750, 1250, 1875, and 3750.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 3750.

 

  • 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 3750 are (1, 3750), (2, 1875), etc.

 

  • Prime factorization: Breaking down a number into its prime number factors, as in the prime factorization of 3750: 2 × 3 × 54.

 

  • Negative factors: Factors that are negative numbers. For example, the negative factors of 3750 are -1, -2, -3, -5, etc.
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About BrightChamps in India

At BrightChamps, numbers mean more than just digits—they open pathways to endless opportunities! We’re here to help children all over India grasp crucial math skills, focusing on today’s Factors of 3750 with a special look at factors—in a way that’s enjoyable, simple, and interactive. Whether your child is calculating the speed of a train passing by, following scores in a cricket match, or managing their pocket money for new gadgets, knowing numbers helps build their confidence in daily life. Our hands-on lessons keep learning fun and easy. Since kids in India learn in many ways, we customize lessons to fit each learner. From Mumbai’s lively markets to Delhi’s vibrant streets, BrightChamps makes math meaningful and exciting all across India. Let’s turn factors into a fun part of every child’s math story!
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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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