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Last updated on May 29th, 2025

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Factors of 1510

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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 1510, how they are used in real life, and tips to learn them quickly.

Factors of 1510 for Indian Students
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What are the Factors of 1510?

The numbers that divide 1510 evenly are known as factors of 1510.

 

A factor of 1510 is a number that divides the number without a remainder.

 

The factors of 1510 are 1, 2, 5, 10, 151, 302, 755, and 1510.

 

Negative factors of 1510: -1, -2, -5, -10, -151, -302, -755, and -1510.

 

Prime factors of 1510: 2, 5, and 151.

 

Prime factorization of 1510: 2 × 5 × 151.

 

The sum of factors of 1510: 1 + 2 + 5 + 10 + 151 + 302 + 755 + 1510 = 2736

 

factors of 1510

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How to Find Factors of 1510?

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 1510. Identifying the numbers which are multiplied to get the number 1510 is the multiplication method.

 

Step 1: Multiply 1510 by 1, 1510 × 1 = 1510.

 

Step 2: Check for other numbers that give 1510 after multiplying

2 × 755 = 1510

5 × 302 = 1510

10 × 151 = 1510

 

Therefore, the positive factor pairs of 1510 are: (1, 1510), (2, 755), (5, 302), (10, 151). All these factor pairs result in 1510.

 

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

 

Step 1: Divide 1510 by 1, 1510 ÷ 1 = 1510.

 

Step 2: Continue dividing 1510 by the numbers until the remainder becomes 0.

1510 ÷ 1 = 1510

1510 ÷ 2 = 755

1510 ÷ 5 = 302

1510 ÷ 10 = 151

 

Therefore, the factors of 1510 are 1, 2, 5, 10, 151, 302, 755, and 1510.

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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 1510 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1510 ÷ 2 = 755

755 ÷ 5 = 151

151 ÷ 151 = 1

 

The prime factors of 1510 are 2, 5, and 151.

 

The prime factorization of 1510 is: 2 × 5 × 151.

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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, 1510 is divided by 2 to get 755.

 

Step 2: Now divide 755 by 5 to get 151.

 

Step 3: Here, 151 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1510 is: 2 × 5 × 151.

 

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 1510: (1, 1510), (2, 755), (5, 302), and (10, 151).

 

Negative factor pairs of 1510: (-1, -1510), (-2, -755), (-5, -302), and (-10, -151).

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Common Mistakes and How to Avoid Them in Factors of 1510

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 1510, 1 and 1510 are also factors.

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Factors of 1510 Examples

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Problem 1

There are 1510 pages and 10 binders. How will they distribute the pages equally?

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They will get 151 pages each.

Explanation

To distribute the pages equally, we need to divide the total pages by the number of binders.

1510/10 = 151

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Problem 2

A rectangular garden has a length of 302 meters, and the total area is 1510 square meters. Find the width.

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5 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width

1510 = 302 × width

To find the value of the width, we need to shift 302 to the left side.

1510/302 = width

Width = 5.

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Problem 3

There are 755 seats in a theater and 1510 people. How many people will sit in each seat if it is divided equally?

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Each seat will have 2 people.

Explanation

To find the number of people per seat, divide the total number of people by the number of seats.

1510/755 = 2

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Problem 4

In a school, there are 1510 students, and they are divided into 2 groups. How many students are in each group?

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There are 755 students in each group.

Explanation

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

1510/2 = 755

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Problem 5

1510 books need to be arranged in 5 shelves. How many books will go on each shelf?

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Each of the shelves has 302 books.

Explanation

Divide total books by shelves.

1510/5 = 302

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FAQs on Factors of 1510

1.What are the factors of 1510?

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2.Mention the prime factors of 1510.

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3.Is 1510 a multiple of 5?

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4.Mention the factor pairs of 1510?

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5.What is the square of 1510?

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6.How can children in India use numbers in everyday life to understand Factors of 1510?

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7.What are some fun ways kids in India can practice Factors of 1510 with numbers?

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8.What role do numbers and Factors of 1510 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 1510 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 1510

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1510 are 1, 2, 5, 10, 151, 302, 755, and 1510.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 151 are prime factors of 1510.

 

  • 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 1510 are (1, 1510), (2, 755), etc.

 

  • Prime factorization: The process of breaking down a number into its prime factors. For example, 1510 = 2 × 5 × 151.

 

  • Multiple: A number that can be divided by another number without a remainder. For example, 1510 is a multiple of 5.
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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 1510 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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Fun Fact

: She loves to read number jokes and games.

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