100 LearnersLast updated on May 26th, 2025
Factors of 1391
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 1391, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1391?
The numbers that divide 1391 evenly are known as factors of 1391.
A factor of 1391 is a number that divides the number without remainder.
The factors of 1391 are 1, 17, 41, and 1391.
Negative factors of 1391: -1, -17, -41, and -1391.
Prime factors of 1391: 17 and 41.
Prime factorization of 1391: 17 × 41.
The sum of factors of 1391: 1 + 17 + 41 + 1391 = 1450
How to Find Factors of 1391?
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 1391. Identifying the numbers which are multiplied to get the number 1391 is the multiplication method.
Step 1: Multiply 1391 by 1, 1391 × 1 = 1391.
Step 2: Check for other numbers that give 1391 after multiplying 17 × 41 = 1391
Therefore, the positive factor pairs of 1391 are: (1, 1391), (17, 41).
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 1391 by 1, 1391 ÷ 1 = 1391.
Step 2: Continue dividing 1391 by the numbers until the remainder becomes 0.
1391 ÷ 1 = 1391
1391 ÷ 17 = 81.823 (not a factor)
1391 ÷ 41 = 33.902 (not a factor)
1391 ÷ 1391 = 1
Therefore, the factors of 1391 are: 1, 17, 41, 1391.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1391 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1391 ÷ 17 = 81.823 (not a factor)
1391 ÷ 41 = 33.902 (not a factor)
1391 ÷ 1 = 1391
The prime factors of 1391 are 17 and 41.
The prime factorization of 1391 is: 17 × 41.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1391 is divided by 17 to get 81.823 (not a factor).
Step 2: Now divide 1391 by 41 to get 33.902 (not a factor).
Step 3: 1391 is only divisible evenly by 1 and itself.
So, the prime factorization of 1391 is: 17 × 41.
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 1391: (1, 1391), (17, 41).
Negative factor pairs of 1391: (-1, -1391), (-17, -41).
Common Mistakes and How to Avoid Them in Factors of 1391
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 the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 1391, 1 and 1391 is also a factor.
Factors of 1391 Examples
Problem 1
A group has 17 people and 1391 tickets. How will they distribute them equally?
They will get 81 tickets each.
Explanation
To distribute the tickets equally, we need to divide the total tickets by the number of people.
1391/17 = 81
Problem 2
A garden is rectangular, the length of the garden is 41 meters and the total area is 1391 square meters. Find the width?
34 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1391 = 41 × width
To find the value of width, we need to shift 41 to the left side.
1391/41 = width
Width = 34.
Problem 3
There are 17 baskets and 1391 apples. How many apples will be in each basket?
Each basket will have 81 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1391/17 = 81
Problem 4
In a class, there are 41 students, and 1391 books. How many books are there for each student?
Each student receives 34 books.
Explanation
Dividing the books by the total students, we will get the number of books for each student.
1391/41 = 34
Problem 5
1391 pieces of candy need to be distributed into 41 bags. How many candies will go in each bag?
Each bag gets 34 candies.
Explanation
Divide total candies by bags.
1391/41 = 34
FAQs on Factors of 1391
1.What are the factors of 1391?
2.Mention the prime factors of 1391.
3.Is 1391 a multiple of 17?
4.Mention the factor pairs of 1391?
5.What is the square of 1391?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1391?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1391 with numbers?
8.What role do numbers and Factors of 1391 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1391 skills?
Important Glossaries for Factor of 1391
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1391 are 1, 17, 41, and 1391.
- Prime factors: The factors which are prime numbers. For example, 17 and 41 are prime factors of 1391.
- 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 1391 are (1, 1391), (17, 41).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1391 is 17 × 41.
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied to get the original number. For example, 17 × 41 = 1391.
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About BrightChamps in United Arab Emirates
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.
