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Last updated on May 26th, 2025

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Factors of 1406

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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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1406, how they are used in real life, and the tips to learn them quickly.

Factors of 1406 for Qatari Students
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What are the Factors of 1406?

The numbers that divide 1406 evenly are known as factors of 1406.

 

A factor of 1406 is a number that divides the number without remainder.

 

The factors of 1406 are 1, 2, 703, and 1406.

 

Negative factors of 1406: -1, -2, -703, and -1406.

 

Prime factors of 1406: 2 and 703.

 

Prime factorization of 1406: 2 × 703.

 

The sum of factors of 1406: 1 + 2 + 703 + 1406 = 2112

factors of 1406

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How to Find Factors of 1406?

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 1406. Identifying the numbers which are multiplied to get the number 1406 is the multiplication method.

 

Step 1: Multiply 1406 by 1, 1406 × 1 = 1406.

 

Step 2: Check for other numbers that give 1406 after multiplying

2 × 703 = 1406

 

Therefore, the positive factor pairs of 1406 are: (1, 1406) and (2, 703).

 

All these factor pairs result in 1406.

 

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 1406 by 1, 1406 ÷ 1 = 1406.

 

Step 2: Continue dividing 1406 by the numbers until the remainder becomes 0.

1406 ÷ 1 = 1406

1406 ÷ 2 = 703

 

Therefore, the factors of 1406 are: 1, 2, 703, 1406.

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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 1406 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1406 ÷ 2 = 703

703 is a prime number and cannot be divided further.

 

The prime factors of 1406 are 2 and 703.

 

The prime factorization of 1406 is: 2 × 703.

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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, 1406 is divided by 2 to get 703. 703 is a prime number, so it cannot be divided further.

 

So, the prime factorization of 1406 is: 2 × 703.

 

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 1406: (1, 1406) and (2, 703).

 

Negative factor pairs of 1406: (-1, -1406) and (-2, -703).

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Common Mistakes and How to Avoid Them in Factors of 1406

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 1406, 1 and 1406 are also factors.

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Factors of 1406 Examples

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Problem 1

There are 14 students and 1406 pages of a book. How will they share it equally?

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They will get 100 pages each.

Explanation

To divide the pages equally, we need to divide the total pages with the number of students.

1406/14 = 100.

428 Since we need whole numbers, each student will get 100 pages, and the remainder will be 6 pages.

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Problem 2

A rectangular garden has a length of 703 meters and a total area of 1406 square meters. Find the width?

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2 meters.

Explanation

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

Area = length × width

1406 = 703 × width

To find the value of width, we need to shift 703 to the left side.

1406/703 = width

Width = 2.

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Problem 3

There are 2 containers and 1406 marbles. How many marbles will be in each container?

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Each container will have 703 marbles.

Explanation

To find the marbles in each container, divide the total marbles with the containers.

1406/2 = 703

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Problem 4

In a class, there are 703 students, and 2 teams. How many students are there in each team?

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There are 351 students in each team.

Explanation

Dividing the students with the total teams, we will get the number of students in each team.

703/2 = 351.5

Since we need whole numbers, each team will get 351 students, and the remainder will be 1 student.

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Problem 5

1406 books need to be arranged in 703 shelves. How many books will go on each shelf?

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Each of the shelves has 2 books.

Explanation

Divide total books with shelves.

1406/703 = 2

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FAQs on Factors of 1406

1.What are the factors of 1406?

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2.Mention the prime factors of 1406.

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3.Is 1406 a multiple of 2?

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4.Mention the factor pairs of 1406?

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5.What is the square of 1406?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 1406?

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7.What are some fun ways kids in Qatar can practice Factors of 1406 with numbers?

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8.What role do numbers and Factors of 1406 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 1406 skills?

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Important Glossaries for Factor of 1406

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1406 are 1, 2, 703, and 1406.

 

  • Prime factors: The factors which are prime numbers. For example, 2 and 703 are prime factors of 1406.

 

  • 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 1406 are (1, 1406) and (2, 703).

 

  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1406 is 2 × 703.

 

  • Multiple: A number that can be divided by another number without a remainder. For example, 1406 is a multiple of 2.
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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 1406 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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