103 LearnersLast updated on May 26th, 2025
Factors of 273
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 273, how they are used in real life, and tips to learn them quickly.
What are the Factors of 273?
The numbers that divide 273 evenly are known as factors of 273.
A factor of 273 is a number that divides the number without remainder.
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, and 273.
Negative factors of 273: -1, -3, -7, -13, -21, -39, -91, and -273.
Prime factors of 273: 3, 7, and 13.
Prime factorization of 273: 3 × 7 × 13.
The sum of factors of 273: 1 + 3 + 7 + 13 + 21 + 39 + 91 + 273 = 448
How to Find Factors of 273?
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 multiply to give 273. Identifying the numbers which are multiplied to get the number 273 is the multiplication method.
Step 1: Multiply 273 by 1, 273 × 1 = 273.
Step 2: Check for other numbers that give 273 after multiplying 3 × 91 = 273 7 × 39 = 273 13 × 21 = 273
Therefore, the positive factor pairs of 273 are: (1, 273), (3, 91), (7, 39), (13, 21).
All these factor pairs result in 273.
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 whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 273 by 1, 273 ÷ 1 = 273.
Step 2: Continue dividing 273 by the numbers until the remainder becomes 0.
273 ÷ 1 = 273
273 ÷ 3 = 91
273 ÷ 7 = 39
273 ÷ 13 = 21
Therefore, the factors of 273 are: 1, 3, 7, 13, 21, 39, 91, 273.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 273 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
273 ÷ 3 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1
The prime factors of 273 are 3, 7, and 13.
The prime factorization of 273 is: 3 × 7 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 273 is divided by 3 to get 91.
Step 2: Now divide 91 by 7 to get 13.
Step 3: Divide 13 by 13 to get 1.
Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 273 is: 3 × 7 × 13.
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 273: (1, 273), (3, 91), (7, 39), and (13, 21).
Negative factor pairs of 273: (-1, -273), (-3, -91), (-7, -39), and (-13, -21).
Common Mistakes and How to Avoid Them in Factors of 273
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 273, 1 and 273 is also a factor.
Factors of 273 Examples
Problem 1
There are 13 teams and 273 points. How will they distribute the points equally?
They will get 21 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
273/13 = 21
Problem 2
A garden is rectangular, the length of the garden is 7 meters, and the total area is 273 square meters. Find the width?
39 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
273 = 7 × width
To find the value of width, we need to shift 7 to the left side.
273/7 = width
Width = 39.
Problem 3
There are 39 classrooms and 273 books. How many books will be in each classroom?
Each classroom will have 7 books.
Explanation
To find the books in each classroom, divide the total books by the number of classrooms.
273/39 = 7
Problem 4
In a conference, there are 91 participants, and 3 groups. How many participants are there in each group?
There are 30 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
273/3 = 91
Problem 5
273 chairs need to be arranged in 13 rows. How many chairs will go in each row?
Each row has 21 chairs.
Explanation
Divide total chairs by the number of rows.
273/13 = 21
FAQs on Factors of 273
1.What are the factors of 273?
2.Mention the prime factors of 273.
3.Is 273 a multiple of 3?
4.Mention the factor pairs of 273?
5.What is the square of 273?
6.How can children in Australia use numbers in everyday life to understand Factors of 273?
7.What are some fun ways kids in Australia can practice Factors of 273 with numbers?
8.What role do numbers and Factors of 273 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 273 skills?
Important Glossaries for Factor of 273
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 273 are 1, 3, 7, 13, 21, 39, 91, and 273.
- Prime Factors: The factors which are prime numbers. For example, 3, 7, and 13 are prime factors of 273.
- 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 273 are (1, 273), (3, 91), etc.
- Prime Factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 273 is 3 × 7 × 13.
- Negative factors: Factors that are negative numbers, which also divide the original number evenly without a remainder. For example, the negative factors of 273 are -1, -3, -7, etc.
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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.
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