100 LearnersLast updated on May 26th, 2025
Factors of 271
Factors are the numbers that divide any given number evenly without a 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 271, how they are used in real life, and tips to learn them quickly.
What are the Factors of 271?
The numbers that divide 271 evenly are known as factors of 271.
A factor of 271 is a number that divides the number without a remainder.
The factors of 271 are 1 and 271.
Negative factors of 271: -1 and -271.
Prime factor of 271: 271 (since 271 is a prime number).
The sum of factors of 271: 1 + 271 = 272
How to Find Factors of 271?
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
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify pairs of numbers that multiply to give 271. Since 271 is a prime number, the multiplication method shows only the trivial pair.
Step 1: Multiply 271 by 1, 271 × 1 = 271.
Thus, the positive factor pair of 271 is: (1, 271).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 271 by 1, 271 ÷ 1 = 271.
Step 2: Check if any other numbers divide 271 evenly without a remainder, but since 271 is prime, no other numbers do.
Therefore, the factors of 271 are: 1 and 271.
Prime Factors and Prime Factorization
The prime factors can be found by dividing the number with prime numbers.
Since 271 is a prime number itself, no further breakdown is needed.
Prime factorization of 271 is 271.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
For 271, since it is a prime number, the factor tree has only one branch leading to 271 itself.
The prime factorization of 271 is: 271.
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 pair of 271: (1, 271).
Negative factor pair of 271: (-1, -271).
Common Mistakes and How to Avoid Them in Factors of 271
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
Sometimes, people might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 271, 1 and 271 are also factors.
Factors of 271 Examples
Problem 1
A builder has 271 bricks and wants to build a single wall. If each layer of the wall consists of one brick, how many layers can he build?
He can build 271 layers.
Explanation
Each layer consists of one brick, so the number of layers is equal to the number of bricks, which is 271.
Problem 2
A person has 271 coins and wants to divide them equally into bags, each containing only one coin. How many bags does he need?
He needs 271 bags.
Explanation
To divide the coins equally into bags with one coin each, he would need as many bags as there are coins, which is 271.
Problem 3
A marathon has 271 participants, and each participant finishes the race. How many medals are needed if each participant gets one medal?
271 medals are needed.
Explanation
Each participant gets one medal, so the total number of medals needed is equal to the number of participants, which is 271.
Problem 4
A library has 271 unique books. If each book is placed in a separate slot, how many slots are needed?
271 slots are needed.
Explanation
Each book takes one slot, so the total number of slots needed is equal to the number of books, which is 271.
Problem 5
A school has 271 students and wants to form one student council where each student has a unique role. How many roles are needed?
271 roles are needed.
Explanation
Each student has a unique role, so the total number of roles is equal to the number of students, which is 271.
FAQs on Factors of 271
1.What are the factors of 271?
2.Mention the prime factor of 271.
3.Is 271 a prime number?
4.Mention the factor pair of 271.
5.What is the square of 271?
6.How can children in Australia use numbers in everyday life to understand Factors of 271?
7.What are some fun ways kids in Australia can practice Factors of 271 with numbers?
8.What role do numbers and Factors of 271 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 271 skills?
Important Glossaries for Factors of 271
- Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 271 are 1 and 271.
- Prime Number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 271 is a prime number.
- Factor Pair: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 271 is (1, 271).
- Negative Factors: Negative numbers that divide the given number without a remainder. For example, the negative factors of 271 are -1 and -271.
- Prime Factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 271 is simply 271, as it is prime.
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About BrightChamps in Australia
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.
