Factors of 267
2026-02-28 11:53 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 267, how they are used in real life, and tips to learn them quickly.

What are the Factors of 267?

The numbers that divide 267 evenly are known as factors of 267. A factor of 267 is a number that divides the number without a remainder.

The factors of 267 are 1, 3, 89, and 267.

Negative factors of 267: -1, -3, -89, and -267.

Prime factors of 267: 3 and 89.

Prime factorization of 267: 3 × 89.

The sum of factors of 267: 1 + 3 + 89 + 267 = 360

How to Find Factors of 267?

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 267. Identifying the numbers which are multiplied to get the number 267 is the multiplication method.

Step 1: Multiply 267 by 1, 267 × 1 = 267.

Step 2: Check for other numbers that give 267 after multiplying 3 × 89 = 267

Therefore, the positive factor pairs of 267 are: (1, 267) and (3, 89).

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 267 by 1, 267 ÷ 1 = 267.

Step 2: Continue dividing 267 by the numbers until the remainder becomes 0. 267 ÷ 1 = 267

267 ÷ 3 = 89

Therefore, the factors of 267 are: 1, 3, 89, and 267.

Prime Factors and Prime Factorization

The factors can be found by dividing it with a 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 267 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

267 ÷ 3 = 89

89 ÷ 89 = 1

The prime factors of 267 are 3 and 89.

The prime factorization of 267 is: 3 × 89.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows 

Step 1: Firstly, 267 is divided by 3 to get 89.

Step 2: 89 is a prime number and cannot be divided further. So, the prime factorization of 267 is: 3 × 89.

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 267: (1, 267) and (3, 89).

Negative factor pairs of 267: (-1, -267) and (-3, -89).

Common Mistakes and How to Avoid Them in Factors of 267

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 267 participants. How will they divide the participants equally?

Okay, lets begin

They will get 89 participants each.

Explanation

To divide the participants equally, we need to divide the total participants by the number of teams. 267/3 = 89

Well explained 👍

Problem 2

A rectangular banner has a width of 3 meters and a total area of 267 square meters. Find the length.

Okay, lets begin

89 meters.

Explanation

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

Area = length × width

267 = 3 × length

o find the value of length, we need to shift 3 to the left side.

267/3 = length

Length = 89.

Well explained 👍

Problem 3

There are 89 packets and 267 candies. How many candies will be in each packet?

Okay, lets begin

Each packet will have 3 candies.

Explanation

To find the candies in each packet, divide the total candies by the packets.

267/89 = 3

Well explained 👍

Problem 4

In a school, there are 267 students, and 89 buses. How many students are there in each bus?

Okay, lets begin

There are 3 students in each bus.

Explanation

Dividing the students by the total buses, we will get the number of students in each bus.

267/89 = 3

Well explained 👍

Problem 5

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

Okay, lets begin

Each of the shelves has 89 books.

Explanation

Divide total books by shelves.

267/3 = 89

Well explained 👍

FAQs on Factors of 267

1.What are the factors of 267?

1, 3, 89, 267 are the factors of 267.

2.Mention the prime factors of 267.

The prime factors of 267 are 3 × 89.

3.Is 267 a multiple of 3?

4.Mention the factor pairs of 267?

(1, 267) and (3, 89) are the factor pairs of 267.

5.What is the square of 267?

Important Glossaries for Factors of 267

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 267 are 1, 3, 89, and 267.
     
  • Prime Factors: The factors which are prime numbers. For example, 3 and 89 are prime factors of 267.
     
  • 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 267 are (1, 267) and (3, 89).
     
  • Prime Factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 267 is 3 × 89.
     
  • Multiple: A number that can be divided by another number without a remainder. For example, 267 is a multiple of 3.

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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.