117 LearnersLast updated on May 26th, 2025
Factors of 1331
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 1331, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1331?
The numbers that divide 1331 evenly are known as factors of 1331.
A factor of 1331 is a number that divides the number without remainder.
The factors of 1331 are 1, 11, 121, and 1331.
Negative factors of 1331: -1, -11, -121, and -1331.
Prime factors of 1331: 11.
Prime factorization of 1331: 11³.
The sum of factors of 1331: 1 + 11 + 121 + 1331 = 1464
How to Find Factors of 1331?
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 are multiplied to give 1331. Identifying the numbers which are multiplied to get the number 1331 is the multiplication method.
Step 1: Multiply 1331 by 1, 1331 × 1 = 1331.
Step 2: Check for other numbers that give 1331 after multiplying 11 × 121 = 1331
Therefore, the positive factor pairs of 1331 are: (1, 1331) and (11, 121).
All these factor pairs result in 1331.
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 1331 by 1, 1331 ÷ 1 = 1331.
Step 2: Continue dividing 1331 by the numbers until the remainder becomes 0.
1331 ÷ 1 = 1331
1331 ÷ 11 = 121
1331 ÷ 121 = 11
Therefore, the factors of 1331 are: 1, 11, 121, 1331.
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 1331 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1331 ÷ 11 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factor of 1331 is 11.
The prime factorization of 1331 is: 11³.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1331 is divided by 11 to get 121.
Step 2: Now divide 121 by 11 to get 11.
Step 3: Divide 11 by 11 to get 1. So, the prime factorization of 1331 is: 11³.
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 1331: (1, 1331), (11, 121).
Negative factor pairs of 1331: (-1, -1331), (-11, -121).
Common Mistakes and How to Avoid Them in Factors of 1331
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 1331, 1 and 1331 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1331 consist of -1, -11, -121, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1331/1.5 = 887.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1331 are prime numbers.
For example, 11 is a prime factor of 1331, but it has other factors like 121.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1331 as 11³ and missing all the key factors.
Factors of 1331 Examples
Problem 1
There are 11 teams and 1331 points to distribute. How will they divide it equally?
They will get 121 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1331/11 = 121
Problem 2
A garden is square-shaped with an area of 1331 square meters. Find the length of one side.
The length of one side is 11 meters.
Explanation
To find the length of one side of a square, we use the formula,
Area = side²
1331 = side²
To find the value of the side, take the square root of 1331.
√1331 = 11
Problem 3
There are 121 boxes and 1331 candies. How many candies will be in each box?
Each box will have 11 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1331/121 = 11
Problem 4
In a competition, there are 1331 participants, and 11 groups. How many participants are there in each group?
There are 121 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1331/11 = 121
Problem 5
1331 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 121 books.
Explanation
Divide total books by shelves.
1331/11 = 121
FAQs on Factors of 1331
1.What are the factors of 1331?
2.Mention the prime factors of 1331.
3.Is 1331 a multiple of 11?
4.Mention the factor pairs of 1331?
5.What is the cube root of 1331?
6.How can children in United States use numbers in everyday life to understand Factors of 1331?
7.What are some fun ways kids in United States can practice Factors of 1331 with numbers?
8.What role do numbers and Factors of 1331 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1331 skills?
Important Glossaries for Factors of 1331
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1331 are 1, 11, 121, and 1331.
- Prime factors: The factors which are prime numbers. For example, 11 is a prime factor of 1331.
- 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 1331 are (1, 1331) and (11, 121).
- Prime factorization: The process of expressing a number as a product of its prime factors. For instance, the prime factorization of 1331 is 11³.
- Negative factors: Factors of a number that are negative. For example, -1, -11, -121, and -1331 are negative factors of 1331.
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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.
