145 LearnersLast updated on May 26th, 2025
Factors of 191
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 191, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 191?
The numbers that divide 191 evenly are known as factors of 191. A factor of 191 is a number that divides the number without remainder. The factors of 191 are 1 and 191.
Negative factors of 191: -1 and -191.
Prime factors of 191: 191.
Prime factorization of 191: 191.
The sum of factors of 191: 1 + 191 = 192
How to Find Factors of 191?
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 191. Identifying the numbers which are multiplied to get the number 191 is the multiplication method.
Step 1: Multiply 191 by 1, 191 × 1 = 191.
Step 2: Check for other numbers that give 191 after multiplying. There are no other pairs of whole numbers, so the positive factor pair of 191 is: (1, 191). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result as a whole number as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 191 by 1, 191 ÷ 1 = 191.
Step 2: Continue dividing 191 by other numbers until the remainder becomes 0.
191 ÷ 1 = 191
Since 191 is a prime number, it cannot be divided by other whole numbers without leaving a remainder. Therefore, the factors of 191 are: 1 and 191.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 191 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 191 is a prime number, it cannot be broken down further. The prime factors of 191 are 191. The prime factorization of 191 is: 191.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Recognize that 191 is a prime number and cannot be broken down further. Thus, the prime factorization of 191 is: 191.
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 191: (1, 191).
- Negative factor pair of 191: (-1, -191).
Common Mistakes and How to Avoid Them in Factors of 191
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 factors for every number. Always remember to include 1 and the number itself. For example, in factors of 191, 1 and 191 are 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 191 consist of -1 and -191.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors. For example, thinking 1.5 as a factor because 191/1.5 does not result in 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 a number must be prime numbers. For 191, it is a prime number, so its only prime factor is itself.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors. For example, not recognizing 191 as a prime number and trying to factor it further.
Factors of 191 Examples
Problem 1
A charity event raised $191, and they want to divide it equally among 191 participants. How much does each participant receive?
Each participant receives $1.
Explanation
To divide the total amount equally, we need to divide the total by the number of participants.
191/191 = 1
Problem 2
A library has 191 books and wants to place them in 1 shelf. How many books will go on the shelf?
All 191 books will go on the shelf.
Explanation
To find the number of books per shelf, we use the formula:
Total books = number of shelves × books per shelf
191 = 1 × books per shelf Books per shelf = 191
Problem 3
There are 191 seats in a theater, and each row has 1 seat. How many rows are there?
There are 191 rows.
Explanation
To find the number of rows, divide the total number of seats by the number of seats per row.
191/1 = 191
Problem 4
A company has 191 employees and wants to form a single committee. How many employees will be in the committee?
191 employees will be in the committee.
Explanation
Since all employees are forming a single committee, the number of employees in the committee is 191.
Problem 5
A school has 191 students and wants to distribute 1 pencil per student. How many pencils are needed?
191 pencils are needed.
Explanation
Each student needs 1 pencil, so the total number of pencils required is equal to the number of students.
191 × 1 = 191
FAQs on Factors of 191
1.What are the factors of 191?
2.Mention the prime factors of 191.
3.Is 191 a multiple of 1?
4.Mention the factor pairs of 191?
5.Is 191 a prime number?
Important Glossaries for Factor of 191
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 191 are 1 and 191.
- Prime factors: The factors which are prime numbers. For example, 191 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 191 is (1, 191).
- Prime number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 191 is a prime number.
- Division method: A method used to find factors by dividing the number by each integer up to its square root to check for divisibility.
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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.
