100 LearnersLast updated on May 26th, 2025
Factors of 391
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 391, how they are used in real life, and tips to learn them quickly.
What are the Factors of 391?
The numbers that divide 391 evenly are known as factors of 391.
A factor of 391 is a number that divides the number without remainder.
The factors of 391 are 1, 17, 23, and 391.
Negative factors of 391: -1, -17, -23, and -391.
Prime factors of 391: 17 and 23.
Prime factorization of 391: 17 × 23.
The sum of factors of 391: 1 + 17 + 23 + 391 = 432
How to Find Factors of 391?
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 391. Identifying the numbers which are multiplied to get the number 391 is the multiplication method.
Step 1: Multiply 391 by 1, 391 × 1 = 391.
Step 2: Check for other numbers that give 391 after multiplying 17 × 23 = 391
Therefore, the positive factor pairs of 391 are: (1, 391) and (17, 23).
All these factor pairs result in 391.
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 391 by 1, 391 ÷ 1 = 391.
Step 2: Continue dividing 391 by the numbers until the remainder becomes 0.
391 ÷ 1 = 391
391 ÷ 17 = 23
391 ÷ 23 = 17
Therefore, the factors of 391 are: 1, 17, 23, 391.
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 391 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
391 ÷ 17 = 23
23 ÷ 23 = 1
The prime factors of 391 are 17 and 23.
The prime factorization of 391 is: 17 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 391 is divided by 17 to get 23.
Step 2: 23 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 391 is: 17 × 23.
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 391: (1, 391) and (17, 23).
Negative factor pairs of 391: (-1, -391) and (-17, -23).
Common Mistakes and How to Avoid Them in Factors of 391
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 391, 1 and 391 are also factors.
Factors of 391 Examples
Problem 1
A farmer has 391 apples and wants to distribute them equally into 17 baskets. How many apples will each basket have?
Each basket will have 23 apples.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of baskets.
391/17 = 23
Problem 2
A garden has a rectangular area with a length of 23 meters and a total area of 391 square meters. Find the width.
17 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 391 = 23 × width
To find the value of width, we need to shift 23 to the left side.
391/23 = width
Width = 17.
Problem 3
There are 391 marbles and 23 bags. How many marbles will be in each bag?
Each bag will have 17 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
391/23 = 17
Problem 4
In a class, there are 391 students, and they need to be divided into 17 groups. How many students are there in each group?
There are 23 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
391/17 = 23
Problem 5
A library has 391 books that need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 17 books.
Explanation
Divide total books by shelves.
391/23 = 17
FAQs on Factors of 391
1.What are the factors of 391?
2.Mention the prime factors of 391.
3.Is 391 a multiple of 17?
4.Mention the factor pairs of 391?
5.What is the square of 391?
6.How can children in Canada use numbers in everyday life to understand Factors of 391?
7.What are some fun ways kids in Canada can practice Factors of 391 with numbers?
8.What role do numbers and Factors of 391 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 391 skills?
Important Glossaries for Factors of 391
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 391 are 1, 17, 23, and 391.
- Prime factors: The factors which are prime numbers. For example, 17 and 23 are prime factors of 391.
- 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 391 are (1, 391) and (17, 23).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 391 is 17 × 23.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method for 391 gives (1, 391) and (17, 23).
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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.
