Factors of 279
2026-02-28 23:44 Diff
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Last updated on December 12, 2025

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

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.

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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: 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.

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Problem 1

There are 3 teams and 279 candies. How will they divide it equally?

Okay, lets begin

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

Well explained 👍

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?

Okay, lets begin

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.

Well explained 👍

Problem 3

There are 31 baskets and 279 fruits. How many fruits will be in each basket?

Okay, lets begin

Each basket will have 9 fruits.

Explanation

To find the fruits in each basket, divide the total fruits with the baskets.

279/31 = 9

Well explained 👍

Problem 4

In a class, there are 279 students, and 9 groups. How many students are there in each group?

Okay, lets begin

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

Well explained 👍

Problem 5

279 books need to be arranged in 3 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 93 books.

Explanation

Divide total books with shelves.

279/3 = 93

Well explained 👍

FAQs on Factors of 279

1.What are the factors of 279?

1, 3, 9, 31, 93, 279 are the factors of 279.

2.Mention the prime factors of 279.

The prime factors of 279 are 3² × 31.

3.Is 279 a multiple of 3?

4.Mention the factor pairs of 279?

(1, 279), (3, 93), and (9, 31) are the factor pairs of 279.

5.What is the square of 279?

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.