100 LearnersLast updated on May 26th, 2025
Factors of 267
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
- 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 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.
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.
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 word. Always remember to include 1 and the number itself.
For example, in factors of 267, 1 and 267 are also factors.
Factors of 267 Examples
Problem 1
There are 3 teams and 267 participants. How will they divide the participants equally?
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
Problem 2
A rectangular banner has a width of 3 meters and a total area of 267 square meters. Find the length.
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.
Problem 3
There are 89 packets and 267 candies. How many candies will be in each packet?
Each packet will have 3 candies.
Explanation
To find the candies in each packet, divide the total candies by the packets.
267/89 = 3
Problem 4
In a school, there are 267 students, and 89 buses. How many students are there in each bus?
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
Problem 5
267 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 89 books.
Explanation
Divide total books by shelves.
267/3 = 89
FAQs on Factors of 267
1.What are the factors of 267?
2.Mention the prime factors of 267.
3.Is 267 a multiple of 3?
4.Mention 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.
