BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon103 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1492

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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1492, how they are used in real life, and the tips to learn them quickly.

Factors of 1492 for Australian Students
Professor Greenline from BrightChamps

What are the Factors of 1492?

The numbers that divide 1492 evenly are known as factors of 1492.

 

A factor of 1492 is a number that divides the number without remainder.

 

The factors of 1492 are 1, 2, 4, 373, 746, and 1492.

 

Negative factors of 1492: -1, -2, -4, -373, -746, and -1492.

 

Prime factors of 1492: 2 and 373.

 

Prime factorization of 1492: 2 × 2 × 373.

 

The sum of factors of 1492: 1 + 2 + 4 + 373 + 746 + 1492 = 2618

 

factors of 1492

Professor Greenline from BrightChamps

How to Find Factors of 1492?

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
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 1492. Identifying the numbers which are multiplied to get the number 1492 is the multiplication method.

 

Step 1: Multiply 1492 by 1, 1492 × 1 = 1492.

 

Step 2: Check for other numbers that give 1492 after multiplying

2 × 746 = 1492

4 × 373 = 1492

 

Therefore, the positive factor pairs of 1492 are: (1, 1492), (2, 746), (4, 373).

 

All these factor pairs result in 1492.

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

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 1492 by 1, 1492 ÷ 1 = 1492.

 

Step 2: Continue dividing 1492 by the numbers until the remainder becomes 0.

1492 ÷ 1 = 1492

1492 ÷ 2 = 746

1492 ÷ 4 = 373

 

Therefore, the factors of 1492 are: 1, 2, 4, 373, 746, 1492.

Professor Greenline from BrightChamps

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 1492 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

1492 ÷ 2 = 746

746 ÷ 2 = 373

 

373 is a prime number.

 

The prime factors of 1492 are 2 and 373.

 

The prime factorization of 1492 is: 2 × 2 × 373.

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, 1492 is divided by 2 to get 746.

 

Step 2: Now divide 746 by 2 to get 373.

 

Step 3: 373 is a prime number, that cannot be divided anymore. So, the prime factorization of 1492 is: 2 × 2 × 373.

 

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 1492: (1, 1492), (2, 746), (4, 373).

 

Negative factor pairs of 1492: (-1, -1492), (-2, -746), (-4, -373).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1492

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 1492, 1 and 1492 is also a factor.

Max from BrightChamps Saying "Hey"

Factors of 1492 Examples

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

Problem 1

If a group of 4 friends wants to share a collection of 1492 beads equally, how many beads will each friend receive?

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

Each friend will receive 373 beads.

Explanation

To divide the beads equally, divide the total number of beads by the number of friends.

1492/4 = 373

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

Problem 2

A rectangular garden has a length of 746 meters and an area of 1492 square meters. What is the width of the garden?

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

The width is 2 meters.

Explanation

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

1492 = 746 × width

To find the width, divide the area by the length.

1492/746 = width

Width = 2.

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

Problem 3

A school has 2 buses and 1492 students. How many students can each bus carry if they are divided equally?

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

Each bus can carry 746 students.

Explanation

To find the number of students per bus, divide the total number of students by the number of buses.

1492/2 = 746

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

Problem 4

A large event has 1492 chairs arranged equally in 373 rows. How many chairs are in each row?

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

Each row has 4 chairs.

Explanation

To find the number of chairs per row, divide the total number of chairs by the number of rows.

1492/373 = 4

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

Problem 5

A shipment contains 1492 items, which need to be packed into boxes of 2 items each. How many boxes will be needed?

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

746 boxes will be needed.

Explanation

Divide the total number of items by the number of items per box.

1492/2 = 746

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

FAQs on Factors of 1492

1.What are the factors of 1492?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1492.

Math FAQ Answers Dropdown Arrow

3.Is 1492 a multiple of 4?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1492?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1492?

Math FAQ Answers Dropdown Arrow

6.How can children in Australia use numbers in everyday life to understand Factors of 1492?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Australia can practice Factors of 1492 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1492 play in helping children in Australia develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Australia create number-rich environments to improve Factors of 1492 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 1492

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1492 are 1, 2, 4, 373, 746, and 1492.

 

  • Prime factors: The factors which are prime numbers. For example, 2 and 373 are prime factors of 1492.

 

  • 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 1492 are (1, 1492), (2, 746), etc.

 

  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1492 is 2 × 2 × 373.

 

  • Multiples: A number is a multiple of another when it can be divided by that number without a remainder. For example, 1492 is a multiple of 4.
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, numbers mean more than just digits—they open doors to a world of possibilities! We’re here to help children across Australia grasp essential math skills, focusing today on Factors of 1492 with a special emphasis on factors—in a way that’s fun, engaging, and easy to follow. Whether your child is figuring out the speed of a roller coaster at Luna Park Sydney, keeping score at a local cricket match, or managing their allowance to buy gadgets, understanding numbers builds everyday confidence. Our hands-on lessons make learning enjoyable and straightforward. Since kids in Australia learn differently, we customize lessons to suit each child’s style. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life throughout Australia. 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