102 LearnersLast updated on May 26th, 2025
Factors of 279
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 279, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 279?
The numbers that divide 279 evenly are known as factors of 279.
A factor of 279 is a number that divides the number without remainder.
The factors of 279 are 1, 3, 9, 31, 93, and 279.
Negative factors of 279: -1, -3, -9, -31, -93, and -279.
Prime factors of 279: 3 and 31.
Prime factorization of 279: 3² × 31.
The sum of factors of 279: 1 + 3 + 9 + 31 + 93 + 279 = 416
How to Find Factors of 279?
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
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 279. Identifying the numbers which are multiplied to get the number 279 is the multiplication method.
Step 1: Multiply 279 by 1, 279 × 1 = 279.
Step 2: Check for other numbers that give 279 after multiplying
3 × 93 = 279
9 × 31 = 279
Therefore, the positive factor pairs of 279 are: (1, 279), (3, 93), and (9, 31).
All these factor pairs result in 279.
For every positive factor, there is a negative factor.
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 279 by 1, 279 ÷ 1 = 279.
Step 2: Continue dividing 279 by the numbers until the remainder becomes 0.
279 ÷ 1 = 279
279 ÷ 3 = 93
279 ÷ 9 = 31
Therefore, the factors of 279 are: 1, 3, 9, 31, 93, 279.
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 279 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
279 ÷ 3 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
The prime factors of 279 are 3 and 31.
The prime factorization of 279 is: 3² × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 279 is divided by 3 to get 93.
Step 2: Now divide 93 by 3 to get 31.
Step 3: Here, 31 is a prime number, which cannot be divided anymore. So, the prime factorization of 279 is: 3² × 31.
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 279: (1, 279), (3, 93), and (9, 31).
Negative factor pairs of 279: (-1, -279), (-3, -93), and (-9, -31).
Common Mistakes and How to Avoid Them in Factors of 279
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 number. Always remember to include 1 and the number itself.
For example, in factors of 279, 1 and 279 are also factors.
Factors of 279 Examples
Problem 1
There are 3 teams and 279 candies. How will they divide it equally?
They will get 93 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of teams.
279/3 = 93
Problem 2
A garden is rectangular, the length of the garden is 9 meters and the total area is 279 square meters. Find the width?
31 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
279 = 9 × width
To find the value of width, we need to shift 9 to the left side.
279/9 = width Width = 31.
Problem 3
There are 31 baskets and 279 fruits. How many fruits will be in each basket?
Each basket will have 9 fruits.
Explanation
To find the fruits in each basket, divide the total fruits with the baskets.
279/31 = 9
Problem 4
In a class, there are 279 students, and 9 groups. How many students are there in each group?
There are 31 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
279/9 = 31
Problem 5
279 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 93 books.
Explanation
Divide total books with shelves.
279/3 = 93
FAQs on Factors of 279
1.What are the factors of 279?
2.Mention the prime factors of 279.
3.Is 279 a multiple of 3?
4.Mention the factor pairs of 279?
5.What is the square of 279?
6.How can children in Canada use numbers in everyday life to understand Factors of 279?
7.What are some fun ways kids in Canada can practice Factors of 279 with numbers?
8.What role do numbers and Factors of 279 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 279 skills?
Important Glossaries for Factors of 279
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 279 are 1, 3, 9, 31, 93, and 279.
- Prime factors: The factors which are prime numbers. For example, 3 and 31 are prime factors of 279.
- 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 279 are (1, 279), (3, 93), etc.
- Prime factorization: Representing a number as a product of its prime factors. For 279, it is 3² × 31.
- Negative factors: Factors that include negative numbers. For example, the negative factors of 279 are -1, -3, -9, -31, -93, and -279.
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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.
Fun Fact
: She loves to read number jokes and games.
