116 LearnersLast updated on May 28th, 2025
Factors of 1317
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 1317, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1317?
The numbers that divide 1317 evenly are known as factors of 1317.
A factor of 1317 is a number that divides the number without remainder.
The factors of 1317 are 1, 3, 439, and 1317.
Negative factors of 1317: -1, -3, -439, and -1317.
Prime factors of 1317: 3 and 439.
Prime factorization of 1317: 3 × 439.
The sum of factors of 1317: 1 + 3 + 439 + 1317 = 1760
How to Find Factors of 1317?
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 1317. Identifying the numbers which are multiplied to get the number 1317 is the multiplication method.
Step 1: Multiply 1317 by 1, 1317 × 1 = 1317.
Step 2: Check for other numbers that give 1317 after multiplying
3 × 439 = 1317
Therefore, the positive factor pairs of 1317 are: (1, 1317) and (3, 439).
All these factor pairs result in 1317.
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 1317 by 1, 1317 ÷ 1 = 1317.
Step 2: Continue dividing 1317 by the numbers until the remainder becomes 0.
1317 ÷ 1 = 1317
1317 ÷ 3 = 439
Therefore, the factors of 1317 are: 1, 3, 439, 1317.
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 1317 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1317 ÷ 3 = 439
439 is a prime number and cannot be divided further by any other number except 1 and 439 itself.
The prime factors of 1317 are 3 and 439.
The prime factorization of 1317 is: 3 × 439.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1317 is divided by 3 to get 439.
Step 2: 439 is a prime number and cannot be divided further by any other number except 1 and 439 itself.
So, the prime factorization of 1317 is: 3 × 439.
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 1317: (1, 1317), (3, 439).
Negative factor pairs of 1317: (-1, -1317), (-3, -439).
Common Mistakes and How to Avoid Them in Factors of 1317
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 1317, 1 and 1317 are also factors.
Factors of 1317 Examples
Problem 1
There are 3 teams and 1317 candies. How will they divide it equally?
Each team will get 439 candies.
Explanation
To divide the candies equally, we need to divide the total candies with the number of teams.
1317/3 = 439
Problem 2
A rectangular room has a width of 3 meters and a total area of 1317 square meters. Find the length.
439 meters.
Explanation
To find the length of the room, we use the formula,
Area = length × width
1317 = length × 3
To find the value of length, we need to shift 3 to the left side.
1317/3 = length
Length = 439.
Problem 3
There are 439 baskets and 1317 apples. How many apples will be in each basket?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
1317/439 = 3
Problem 4
In a school, there are 1317 students and 3 classes. How many students are there in each class?
There are 439 students in each class.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
1317/3 = 439
Problem 5
1317 books need to be arranged in 439 shelves. How many books will go on each shelf?
Each shelf will have 3 books.
Explanation
Divide total books by shelves.
1317/439 = 3
FAQs on Factors of 1317
1.What are the factors of 1317?
2.Mention the prime factors of 1317.
3.Is 1317 a multiple of 3?
4.Mention the factor pairs of 1317?
5.What is the square of 1317?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1317?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1317 with numbers?
8.What role do numbers and Factors of 1317 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 1317 skills?
Important Glossaries for Factors of 1317
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1317 are 1, 3, 439, and 1317.
- Prime factors: The factors which are prime numbers. For example, 3 and 439 are prime factors of 1317.
- 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 1317 are (1, 1317) and (3, 439).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1317 is 3 × 439.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 1317 are -1, -3, -439, and -1317.
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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.
