BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1407

Professor Greenline Explaining Math Concepts

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 1407, how they are used in real life, and tips to learn them quickly.

Factors of 1407 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 1407?

The numbers that divide 1407 evenly are known as factors of 1407.

 

A factor of 1407 is a number that divides the number without remainder.

 

The factors of 1407 are 1, 3, 469, and 1407.

 

Negative factors of 1407: -1, -3, -469, and -1407.

 

Prime factors of 1407: 3 and 469.

 

Prime factorization of 1407: 3 × 469.

 

The sum of factors of 1407: 1 + 3 + 469 + 1407 = 1880

factors of 1407

Professor Greenline from BrightChamps

How to Find Factors of 1407?

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
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1407. Identifying the numbers which are multiplied to get the number 1407 is the multiplication method.

 

Step 1: Multiply 1407 by 1, 1407 × 1 = 1407.

 

Step 2: Check for other numbers that give 1407 after multiplying

3 × 469 = 1407

 

Therefore, the positive factor pairs of 1407 are: (1, 1407) and (3, 469).

 

All these factor pairs result in 1407.

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following the simple division method 

 

Step 1: Divide 1407 by 1, 1407 ÷ 1 = 1407.

 

Step 2: Continue dividing 1407 by the numbers until the remainder becomes 0.

1407 ÷ 1 = 1407

1407 ÷ 3 = 469

 

Therefore, the factors of 1407 are: 1, 3, 469, and 1407.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:

  • Using prime factorization
  • Using a factor tree

 

Using Prime Factorization: In this process, prime factors of 1407 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1407 ÷ 3 = 469 469 is a prime number.

 

The prime factors of 1407 are 3 and 469.

 

The prime factorization of 1407 is: 3 × 469.

Professor Greenline from BrightChamps

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows 

 

Step 1: Firstly, 1407 is divided by 3 to get 469.

 

Step 2: 469 is a prime number and cannot be divided further.

 

So, the prime factorization of 1407 is: 3 × 469.

 

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 1407: (1, 1407) and (3, 469).

 

Negative factor pairs of 1407: (-1, -1407) and (-3, -469).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1407

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Forgetting the number itself and 1 is a factor

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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 1407, 1 and 1407 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 1407 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A basketball team scored 1407 points in a season, and they played 469 games. How many points did they average per game?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

They averaged 3 points per game.

Explanation

To find the average points per game, divide the total points by the number of games.

1407/469 = 3

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A farmer has 1407 apples and wants to pack them into 3 baskets equally. How many apples will each basket have?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each basket will have 469 apples.

Explanation

To divide apples equally, use the equation:

1407/3 = 469

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

A library has 1407 books and 3 sections. How many books will each section have?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each section will have 469 books.

Explanation

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

1407/3 = 469

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

A company produced 1407 units of a product and sold them in 469 stores. How many units were sold per store?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

3 units were sold per store.

Explanation

Dividing the total units by the number of stores gives the units per store.

1407/469 = 3

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

There are 3 teams in a competition with a total of 1407 points. How many points does each team get if they are equally distributed?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each team gets 469 points.

Explanation

To find the points per team, divide the total points by the number of teams.

1407/3 = 469

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 1407

1.What are the factors of 1407?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1407.

Math FAQ Answers Dropdown Arrow

3.Is 1407 a multiple of 3?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1407?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1407?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 1407?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 1407 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1407 play in helping children in Qatar develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Qatar create number-rich environments to improve Factors of 1407 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 1407

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1407 are 1, 3, 469, and 1407.

 

  • Prime factors: The factors which are prime numbers. For example, 3 and 469 are prime factors of 1407.

 

  • 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 1407 are (1, 1407) and (3, 469).

 

  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, 1407 can be expressed as 3 × 469.

 

  • Multiple: A number that can be divided by another number without leaving a remainder. For example, 1407 is a multiple of 3.
Professor Greenline from BrightChamps

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 1407 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!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom