100 LearnersLast updated on May 26th, 2025
Factors of 278
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.
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
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
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.
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.
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.
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).
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
Forgetting the number itself and 1 is a factor
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.
Factors of 278 Examples
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?
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
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?
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.
Problem 3
There are 278 students in a school, and each bus can carry 139 students. How many buses are needed?
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
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?
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
Problem 5
278 books need to be arranged evenly across 2 shelves. How many books will go on each shelf?
Each of the shelves will have 139 books.
Explanation
Divide the total books by the number of shelves.
278/2 = 139
FAQs on Factors of 278
1.What are the factors of 278?
2.Mention the prime factors of 278.
3.Is 278 a multiple of 2?
4.Mention the factor pairs of 278.
5.What is the square of 278?
6.How can children in Australia use numbers in everyday life to understand Factors of 278?
7.What are some fun ways kids in Australia can practice Factors of 278 with numbers?
8.What role do numbers and Factors of 278 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 278 skills?
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.
Explore More numbers
Previous to Factors of 278
About BrightChamps in Australia
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.
Fun Fact
: She loves to read number jokes and games.
