127 LearnersLast updated on May 26th, 2025
Factors of 1891
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 1891, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1891?
The numbers that divide 1891 evenly are known as factors of 1891.
A factor of 1891 is a number that divides the number without remainder.
The factors of 1891 are 1, 11, 17, 121, 187, and 1891.
Negative factors of 1891: -1, -11, -17, -121, -187, and -1891.
Prime factors of 1891: 11 and 17.
Prime factorization of 1891: 11 × 17.
The sum of factors of 1891: 1 + 11 + 17 + 121 + 187 + 1891 = 2228
How to Find Factors of 1891?
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 1891. Identifying the numbers which are multiplied to get the number 1891 is the multiplication method.
Step 1: Multiply 1891 by 1, 1891 × 1 = 1891.
Step 2: Check for other numbers that give 1891 after multiplying 11 × 17 = 1891
Therefore, the positive factor pairs of 1891 are: (1, 1891), (11, 17). All these factor pairs result in 1891. 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 1891 by 1, 1891 ÷ 1 = 1891.
Step 2: Continue dividing 1891 by the numbers until the remainder becomes 0.
1891 ÷ 1 = 1891
1891 ÷ 11 = 17
1891 ÷ 17 = 11
Therefore, the factors of 1891 are: 1, 11, 17, 121, 187, and 1891.
Prime Factors and Prime Factorization
The factors can be found by dividing it with 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 1891 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1891 ÷ 11 = 17
17 ÷ 17 = 1
The prime factors of 1891 are 11 and 17.
The prime factorization of 1891 is: 11 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1891 is divided by 11 to get 17.
Step 2: 17 is a prime number and cannot be divided further. So, the prime factorization of 1891 is: 11 × 17.
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 1891: (1, 1891), (11, 17).
Negative factor pairs of 1891: (-1, -1891), (-11, -17).
Common Mistakes and How to Avoid Them in Factors of 1891
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 1891, 1 and 1891 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 1891 consist of -1, -11, -17, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1891/1.5 = 1260.666, 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 1891 are prime numbers. For example, 11 and 17 are the prime factors of 1891, but it has other factors like 1, 121.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1891 as 11 × 17 and missing all the key factors.
Factors of 1891 Examples
Problem 1
There are 11 books and 1891 pages. How will they distribute the pages equally?
Each book will have 17 pages.
Explanation
To distribute the pages equally, we need to divide the total pages by the number of books.
1891/11 = 17
Problem 2
A rectangular garden has a length of 17 meters and a total area of 1891 square meters. What is the width?
111 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1891 = 17 × width
To find the value of width, we need to shift 17 to the left side.
1891/17 = width
Width = 111.
Problem 3
There are 17 buses and 1891 passengers. How many passengers will be in each bus?
Each bus will have 111 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the number of buses.
1891/17 = 111
Problem 4
A concert hall has 1891 seats and 17 sections. How many seats are there in each section?
There are 111 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1891/17 = 111
Problem 5
1891 apples need to be packed into 11 crates. How many apples will go in each crate?
Each crate will have 17 apples.
Explanation
Divide the total apples by the crates.
1891/11 = 17
FAQs on Factors of 1891
1.What are the factors of 1891?
2.Mention the prime factors of 1891.
3.Is 1891 a multiple of 11?
4.Mention the factor pairs of 1891?
5.What is the square of 1891?
6.How can children in United States use numbers in everyday life to understand Factors of 1891?
7.What are some fun ways kids in United States can practice Factors of 1891 with numbers?
8.What role do numbers and Factors of 1891 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 1891 skills?
Important Glossaries for Factor of 1891
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1891 are 1, 11, 17, 121, 187, and 1891.
- Prime factors: The factors which are prime numbers. For example, 11 and 17 are prime factors of 1891.
- 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 1891 are (1, 1891), (11, 17).
- Prime Factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1891 is 11 × 17.
- Divisibility: The ability of one number to be divided by another without leaving a remainder. For example, 1891 is divisible by 11 and 17.
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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.
