116 LearnersLast updated on May 26th, 2025
Factors of 991
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 991, how they are used in real life, and tips to learn them quickly.
What are the Factors of 991?
The numbers that divide 991 evenly are known as factors of 991.
A factor of 991 is a number that divides the number without remainder.
The factors of 991 are 1 and 991.
Negative factors of 991: -1 and -991.
Prime factorization of 991: 991 is a prime number itself.
The sum of factors of 991: 1 + 991 = 992
How to Find Factors of 991?
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 991. Since 991 is a prime number, it only has the multiplication factor pair of 1 and 991. Identifying the numbers which are multiplied to get the number 991 is the multiplication method.
Step 1: Multiply 991 by 1, 991 × 1 = 991. Therefore, the only positive factor pair of 991 is: (1, 991). 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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 991 by 1, 991 ÷ 1 = 991. Since 991 is a prime number, no other numbers divide it evenly except 1 and 991 itself. Therefore, the factors of 991 are: 1 and 991.
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: Since 991 is a prime number, it cannot be broken down further into any other prime factors. Therefore, 991 itself is a prime factor.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 991 is a prime number, it cannot be broken down further. So, the prime factorization of 991 is simply 991 itself.
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 991: (1, 991).
Negative factor pair of 991: (-1, -991).
Common Mistakes and How to Avoid Them in Factors of 991
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 integer. Always remember to include 1 and the number itself.
For example, in factors of 991, 1 and 991 are also factors.
Mistake 2
Missing Negative Factors
It is common to mention only positive factors. However, there are also negative factors. Always check whether you have mentioned negative factors.
For example, the factors of 991 consist of -1 and -991.
Mistake 3
Including the Fraction
People might sometimes mistakenly consider fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor of 991 is incorrect because 991/1.5 does not yield 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 factors of 991 are prime numbers is incorrect since 1 is not a prime number.
Mistake 5
Mistake in Factorization
People might skip steps in factorization and end up writing incorrect factors.
For example, failing to recognize that 991 is a prime number and not breaking it down further.
Factors of 991 Examples
Problem 1
There are 991 apples, and each person needs to get an apple. How will you distribute them equally among 991 people?
Each person will get 1 apple.
Explanation
To distribute the apples equally, we divide the total apples by the number of people.
991/991 = 1
Problem 2
There is a single row of 991 chairs. How many chairs are there in each row?
991 chairs.
Explanation
Since there is only one row, the number of chairs in that row is the same as the total number of chairs, which is 991.
Problem 3
You have 991 tiles, and you need to make a single straight line. How many tiles will you use in that line?
You will use all 991 tiles.
Explanation
Since you are making a single line with all the tiles, the number of tiles in that line is 991.
Problem 4
A baker has 991 cookies and wants to pack them into boxes, each containing one cookie. How many boxes does she need?
She needs 991 boxes.
Explanation
Since each box contains one cookie, the number of boxes required is the same as the total number of cookies, 991.
Problem 5
There are 991 students and 1 classroom. How many students are in the classroom?
All 991 students are in the classroom.
Explanation
Since there is only one classroom, all 991 students are in it.
FAQs on Factors of 991
1.What are the factors of 991?
2.Is 991 a prime number?
3.What is the sum of the factors of 991?
4.Can 991 be divided by any number other than 1 and itself?
5.What are the negative factors of 991?
6.How can children in United States use numbers in everyday life to understand Factors of 991?
7.What are some fun ways kids in United States can practice Factors of 991 with numbers?
8.What role do numbers and Factors of 991 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 991 skills?
Important Glossaries for Factors of 991
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 991 are 1 and 991.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 991 is a prime number.
- Prime factorization: The process of expressing a number as a product of its prime numbers. Since 991 is a prime number, its prime factorization is 991.
- Factor pair: Two numbers that are multiplied to give the original number. For example, the factor pair of 991 is (1, 991).
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 991 are -1 and -991.
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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.
