122 LearnersLast updated on May 26th, 2025
Factors of 1911
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 1911, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1911?
The numbers that divide 1911 evenly are known as factors of 1911.
A factor of 1911 is a number that divides the number without a remainder.
The factors of 1911 are 1, 3, 11, 33, 58, 174, 637, and 1911.
Negative factors of 1911: -1, -3, -11, -33, -58, -174, -637, and -1911.
Prime factors of 1911: 3, 11, and 58.
Prime factorization of 1911: 3 × 11 × 58.
The sum of factors of 1911: 1 + 3 + 11 + 33 + 58 + 174 + 637 + 1911 = 2828
How to Find Factors of 1911?
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 1911. Identifying the numbers which are multiplied to get the number 1911 is the multiplication method.
Step 1: Multiply 1911 by 1, 1911 × 1 = 1911.
Step 2: Check for other numbers that give 1911 after multiplying
3 × 637 = 1911
11 × 174 = 1911
33 × 58 = 1911
Therefore, the positive factor pairs of 1911 are: (1, 1911), (3, 637), (11, 174), (33, 58). 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 1911 by 1, 1911 ÷ 1 = 1911.
Step 2: Continue dividing 1911 by the numbers until the remainder becomes 0.
1911 ÷ 1 = 1911
1911 ÷ 3 = 637
1911 ÷ 11 = 174
1911 ÷ 33 = 58
Therefore, the factors of 1911 are: 1, 3, 11, 33, 58, 174, 637, 1911.
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 1911 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
1911 ÷ 3 = 637
637 ÷ 11 = 58
58 ÷ 58 = 1
The prime factors of 1911 are 3, 11, and 58.
The prime factorization of 1911 is: 3 × 11 × 58.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1911 is divided by 3 to get 637.
Step 2: Now divide 637 by 11 to get 58.
Step 3: Divide 58 by 58 to get 1. Here, 58 is the smallest prime number, which cannot be divided anymore. So, the prime factorization of 1911 is: 3 × 11 × 58.
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 1911: (1, 1911), (3, 637), (11, 174), and (33, 58).
Negative factor pairs of 1911: (-1, -1911), (-3, -637), (-11, -174), and (-33, -58).
Common Mistakes and How to Avoid Them in Factors of 1911
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
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 1911, 1 and 1911 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1911 consist of -1, -3, -11, etc.
Mistake 3
Including the Fraction
Sometimes, fractions are mistakenly added as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1911/1.5 = 1274, 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 1911 are prime numbers. For example, 3, 11, and 58 are the prime factors of 1911, but it has other factors like 33, 174.
Mistake 5
Mistake in Factorization
Skipping steps in factorization might lead to incorrect factors.
For example, not breaking 1911 as 3 × 11 × 58 and missing all the key factors.
Factors of 1911 Examples
Problem 1
There are 3 teams and 1911 candies. How will they divide it equally?
Each team will get 637 candies.
Explanation
To divide the candies equally, we need to divide the total candies with the number of teams.
1911/3 = 637
Problem 2
A rectangular banner has a length of 11 meters and a total area of 1911 square meters. Find the width.
The width is 174 meters.
Explanation
To find the width of the banner, we use the formula, Area = length × width
1911 = 11 × width
To find the value of the width, we need to shift 11 to the left side.
1911/11 = width
Width = 174.
Problem 3
There are 33 boxes and 1911 marbles. How many marbles will be in each box?
Each box will have 58 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
1911/33 = 58
Problem 4
In a class, there are 1911 students, and 11 groups. How many students are there in each group?
There are 174 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1911/11 = 174
Problem 5
1911 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each shelf will have 637 books.
Explanation
Divide total books by the number of shelves.
1911/3 = 637
FAQs on Factors of 1911
1.What are the factors of 1911?
2.Mention the prime factors of 1911.
3.Is 1911 a multiple of 3?
4.Mention the factor pairs of 1911?
5.What is the square of 1911?
6.How can children in Canada use numbers in everyday life to understand Factors of 1911?
7.What are some fun ways kids in Canada can practice Factors of 1911 with numbers?
8.What role do numbers and Factors of 1911 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1911 skills?
Important Glossaries for Factors of 1911
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1911 are 1, 3, 11, 33, 58, 174, 637, and 1911.
- Prime factors: The factors which are prime numbers. For example, 3, 11, and 58 are prime factors of 1911.
- 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 1911 are (1, 1911), (3, 637), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, 1911 = 3 × 11 × 58.
- Negative factors: Factors that are negative numbers. For example, -1, -3, -11, etc., are negative factors of 1911.
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About BrightChamps in Canada
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.
