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 278

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

Factors of 278 for Canadian Students
Professor Greenline from BrightChamps

What are the Factors of 278?

The numbers that divide 278 evenly are known as factors of 278.

 

A factor of 278 is a number that divides the number without a remainder.

 

The factors of 278 are 1, 2, 139, and 278.

 

Negative factors of 278: -1, -2, -139, and -278.

 

Prime factors of 278: 2 and 139.

 

Prime factorization of 278: 2 × 139.

 

The sum of factors of 278: 1 + 2 + 139 + 278 = 420

Factors of 278

Professor Greenline from BrightChamps

How to Find Factors of 278?

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 278. Identifying the numbers which are multiplied to get the number 278 is the multiplication method.

 

Step 1: Multiply 278 by 1, 278 × 1 = 278.

 

Step 2: Check for other numbers that give 278 after multiplying 2 × 139 = 278

 

Therefore, the positive factor pairs of 278 are: (1, 278) and (2, 139).

 

All these factor pairs result in 278.

 

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 a whole number as factors. Factors can be calculated by following a simple division method 

 

Step 1: Divide 278 by 1, 278 ÷ 1 = 278.

 

Step 2: Continue dividing 278 by the numbers until the remainder becomes 0.

 

278 ÷ 1 = 278

278 ÷ 2 = 139

 

Therefore, the factors of 278 are: 1, 2, 139, 278.

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

 

278 ÷ 2 = 139

139 ÷ 139 = 1

 

The prime factors of 278 are 2 and 139. The prime factorization of 278 is: 2 × 139.

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, 278 is divided by 2 to get 139. Here, 139 is a prime number that cannot be divided anymore. So, the prime factorization of 278 is: 2 × 139.

 

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 278: (1, 278), (2, 139).

 

Negative factor pairs of 278: (-1, -278), (-2, -139).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 278

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 whole number. Always remember to include 1 and the number itself.

 

For example, in factors of 278, 1 and 278 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 278 Examples

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

Problem 1

A farmer has 278 apples and wants to pack them into boxes with each box containing 2 apples. How many boxes will he need?

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

He will need 139 boxes.

Explanation

To find out the number of boxes needed, divide the total apples by the number in each box.

 

278/2 = 139

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

Problem 2

A rectangular field has an area of 278 square meters, and its width is 2 meters. What is the length of the field?

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

139 meters.

Explanation

To find the length of the field, we use the formula,

 

Area = length × width

 

278 = length × 2

 

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

 

278/2 = length

 

Length = 139.

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

Problem 3

There are 278 students in a school, and each bus can carry 139 students. How many buses are needed?

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

2 buses are needed.

Explanation

To find the number of buses needed, divide the total students by the capacity of each bus.

 

278/139 = 2

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

Problem 4

A company has 278 units of a product and wants to distribute them equally in 2 warehouses. How many units will each warehouse receive?

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

Each warehouse will receive 139 units.

Explanation

Dividing the total units by the number of warehouses gives us the number of units per warehouse.

 

 

278/2 = 139

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

Problem 5

278 books need to be arranged evenly across 2 shelves. How many books will go on each shelf?

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

Each of the shelves will have 139 books.

Explanation

Divide the total books by the number of shelves.

 

278/2 = 139

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

FAQs on Factors of 278

1.What are the factors of 278?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 278.

Math FAQ Answers Dropdown Arrow

3.Is 278 a multiple of 2?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 278.

Math FAQ Answers Dropdown Arrow

5.What is the square of 278?

Math FAQ Answers Dropdown Arrow

6.How can children in Canada use numbers in everyday life to understand Factors of 278?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Canada can practice Factors of 278 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 278 play in helping children in Canada develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Canada create number-rich environments to improve Factors of 278 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 278

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 278 are 1, 2, 139, and 278.

     
  • Prime factors: The factors which are prime numbers. For example, 2 and 139 are prime factors of 278.

     
  • 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 278 are (1, 278) and (2, 139).

     
  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 278 is 2 × 139.

     
  • Multiple: A number that can be divided by another number without a remainder. For example, 278 is a multiple of 2.
Professor Greenline from BrightChamps

About BrightChamps in Canada

At BrightChamps, numbers are more than just symbols—they’re keys to many possibilities! We aim to help kids across Canada develop important math skills, with today’s focus on Factors of 278, highlighting factors in a lively, fun, and accessible way. Whether your child is calculating the speed of a ride at Canada’s Wonderland, keeping track of hockey scores, or budgeting their allowance to buy gadgets, mastering numbers boosts their everyday confidence. Our engaging lessons make learning both fun and easy. Since kids in Canada learn differently, we adapt our teaching to each child’s style. From Toronto’s bustling streets to British Columbia’s scenic views, BrightChamps brings math to life across Canada. Let’s make factors a fun part of every child’s learning experience!
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