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Last updated on May 26th, 2025

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Factors of 1506

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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 1506, how they are used in real life, and tips to learn them quickly.

Factors of 1506 for Qatari Students
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What are the Factors of 1506?

The numbers that divide 1506 evenly are known as factors of 1506.

 

A factor of 1506 is a number that divides the number without remainder.

 

The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, and 1506.

 

Negative factors of 1506: -1, -2, -3, -6, -251, -502, -753, and -1506.

 

Prime factors of 1506: 2, 3, and 251.

 

Prime factorization of 1506: 2 × 3 × 251.

 

The sum of factors of 1506: 1 + 2 + 3 + 6 + 251 + 502 + 753 + 1506 = 3024

 

factors of 1506

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How to Find Factors of 1506?

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 1506. Identifying the numbers which are multiplied to get the number 1506 is the multiplication method.

 

Step 1: Multiply 1506 by 1, 1506 × 1 = 1506.

 

Step 2: Check for other numbers that give 1506 after multiplying

2 × 753 = 1506

3 × 502 = 1506

6 × 251 = 1506

 

Therefore, the positive factor pairs of 1506 are: (1, 1506), (2, 753), (3, 502), (6, 251).

 

All these factor pairs result in 1506.

 

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 1506 by 1, 1506 ÷ 1 = 1506.

 

Step 2: Continue dividing 1506 by the numbers until the remainder becomes 0.

1506 ÷ 1 = 1506

1506 ÷ 2 = 753

1506 ÷ 3 = 502

1506 ÷ 6 = 251

 

Therefore, the factors of 1506 are: 1, 2, 3, 6, 251, 502, 753, 1506.

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Prime Factors and Prime Factorization

The factors can be found by dividing it with a 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 1506 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1506 ÷ 2 = 753

753 ÷ 3 = 251

251 ÷ 251 = 1

 

The prime factors of 1506 are 2, 3, and 251.

 

The prime factorization of 1506 is: 2 × 3 × 251.

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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, 1506 is divided by 2 to get 753.

 

Step 2: Now divide 753 by 3 to get 251.

 

Step 3: Then divide 251 by 251 to get 1. Here, 251 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1506 is: 2 × 3 × 251.

 

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 1506: (1, 1506), (2, 753), (3, 502), (6, 251).

 

Negative factor pairs of 1506: (-1, -1506), (-2, -753), (-3, -502), (-6, -251).

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Common Mistakes and How to Avoid Them in Factors of 1506

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 1506, 1 and 1506 are also factors.

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Factors of 1506 Examples

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Problem 1

There are 6 teams and 1506 participants. How will they divide equally among the teams?

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Each team will have 251 participants.

Explanation

To divide the participants equally, we need to divide the total participants by the number of teams.

1506/6 = 251

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Problem 2

A rectangular garden has a length of 502 meters and a total area of 1506 square meters. Find the width.

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3 meters.

Explanation

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

1506 = 502 × width

To find the value of width, we need to divide 1506 by 502.

1506/502 = width

Width = 3.

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Problem 3

There are 3 delivery trucks and 1506 packages. How many packages will each truck carry?

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Each truck will carry 502 packages.

Explanation

To find the packages each truck will carry, divide the total packages by the number of trucks.

1506/3 = 502

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Problem 4

In a concert, there are 1506 attendees and 2 entrance gates. How many attendees enter through each gate?

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753 attendees enter through each gate.

Explanation

Dividing the attendees by the number of entrance gates will give the number of attendees per gate.

1506/2 = 753

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Problem 5

A publisher needs to distribute 1506 books into 3 warehouses. How many books will each warehouse receive?

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Each warehouse will receive 502 books.

Explanation

Divide the total number of books by the number of warehouses.

1506/3 = 502

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FAQs on Factors of 1506

1.What are the factors of 1506?

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2.Mention the prime factors of 1506.

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3.Is 1506 a multiple of 3?

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4.Mention the factor pairs of 1506.

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5.What is the square of 1506?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 1506?

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7.What are some fun ways kids in Qatar can practice Factors of 1506 with numbers?

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8.What role do numbers and Factors of 1506 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 1506 skills?

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Important Glossaries for Factor of 1506

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1506 are 1, 2, 3, 6, 251, 502, 753, and 1506.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 251 are prime factors of 1506.

 

  • 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 1506 are (1, 1506), (2, 753), etc.

 

  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.

 

  • Division method: A method to find factors by dividing the original number by whole numbers until the remainder is zero.
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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 1506 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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