100 LearnersLast updated on May 26th, 2025
Factors of 291
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 291, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 291?
The numbers that divide 291 evenly are known as factors of 291.
A factor of 291 is a number that divides the number without remainder.
The factors of 291 are 1, 3, 97, and 291.
Negative factors of 291: -1, -3, -97, and -291.
Prime factors of 291: 3 and 97.
Prime factorization of 291: 3 × 97. The sum of factors of 291: 1 + 3 + 97 + 291 = 392
How to Find Factors of 291?
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 291. Identifying the numbers which are multiplied to get the number 291 is the multiplication method.
Step 1: Multiply 291 by 1, 291 × 1 = 291.
Step 2: Check for other numbers that give 291 after multiplying 3 × 97 = 291
Therefore, the positive factor pairs of 291 are: (1, 291) and (3, 97).
All these factor pairs result in 291.
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 whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 291 by 1, 291 ÷ 1 = 291.
Step 2: Continue dividing 291 by the numbers until the remainder becomes 0.
291 ÷ 1 = 291
291 ÷ 3 = 97
Therefore, the factors of 291 are: 1, 3, 97, 291.
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 291 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
291 ÷ 3 = 97
97 ÷ 97 = 1
The prime factors of 291 are 3 and 97.
The prime factorization of 291 is: 3 × 97.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 291 is divided by 3 to get 97.
Step 2: 97 is a prime number and cannot be divided further.
So, the prime factorization of 291 is: 3 × 97.
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 291: (1, 291) and (3, 97).
Negative factor pairs of 291: (-1, -291) and (-3, -97).
Common Mistakes and How to Avoid Them in Factors of 291
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 291, 1 and 291 are also factors.
Factors of 291 Examples
Problem 1
A teacher has 291 pencils and wants to distribute them equally among 3 classrooms. How many pencils will each classroom receive?
Each classroom will receive 97 pencils.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of classrooms.
291/3 = 97
Problem 2
A rectangular plot has a length of 3 meters and an area of 291 square meters. What is the width of the plot?
97 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
291 = 3 × width
To find the value of width, we need to shift 3 to the left side.
291/3 = width
Width = 97.
Problem 3
291 candies are to be packed in 97 boxes evenly. How many candies will each box contain?
Each box will contain 3 candies.
Explanation
To find the number of candies in each box, divide the total candies by the number of boxes.
291/97 = 3
Problem 4
A factory produces 291 widgets and packs them into 3 crates. How many widgets are in each crate?
There are 97 widgets in each crate.
Explanation
Dividing the widgets by the total crates, we will get the number of widgets in each crate.
291/3 = 97
Problem 5
A library has 291 books and 97 shelves. How many books will go on each shelf?
Each of the shelves has 3 books.
Explanation
Divide total books by shelves.
291/97 = 3
FAQs on Factors of 291
1.What are the factors of 291?
2.Mention the prime factors of 291.
3.Is 291 a multiple of 3?
4.Mention the factor pairs of 291?
5.What is the square of 291?
6.How can children in Canada use numbers in everyday life to understand Factors of 291?
7.What are some fun ways kids in Canada can practice Factors of 291 with numbers?
8.What role do numbers and Factors of 291 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 291 skills?
Important Glossaries for Factor of 291
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 291 are 1, 3, 97, and 291.
- Prime factors: The factors which are prime numbers. For example, 3 and 97 are prime factors of 291.
- 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 291 are (1, 291) and (3, 97).
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to the target number.
- Division method: A technique for finding factors by dividing the target number by integers to check for division without remainder.
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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.
