118 LearnersLast updated on May 26th, 2025
Factors of 1366
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 1366, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1366?
The numbers that divide 1366 evenly are known as factors of 1366.
A factor of 1366 is a number that divides the number without remainder.
The factors of 1366 are 1, 2, 683, and 1366.
Negative factors of 1366: -1, -2, -683, and -1366.
Prime factors of 1366: 2 and 683.
Prime factorization of 1366: 2 × 683.
The sum of factors of 1366: 1 + 2 + 683 + 1366 = 2052
How to Find Factors of 1366?
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 1366. Identifying the numbers which are multiplied to get the number 1366 is the multiplication method.
Step 1: Multiply 1366 by 1, 1366 × 1 = 1366.
Step 2: Check for other numbers that give 1366 after multiplying 2 × 683 = 1366
Therefore, the positive factor pairs of 1366 are: (1, 1366) and (2, 683).
All these factor pairs result in 1366.
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 1366 by 1, 1366 ÷ 1 = 1366.
Step 2: Continue dividing 1366 by the numbers until the remainder becomes 0.
1366 ÷ 1 = 1366
1366 ÷ 2 = 683
Therefore, the factors of 1366 are: 1, 2, 683, 1366.
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 1366 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1366 ÷ 2 = 683
683 is a prime number.
The prime factors of 1366 are 2 and 683.
The prime factorization of 1366 is: 2 × 683.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1366 is divided by 2 to get 683.
Step 2: As 683 is a prime number, the process stops here. So, the prime factorization of 1366 is: 2 × 683.
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 1366: (1, 1366) and (2, 683).
Negative factor pairs of 1366: (-1, -1366) and (-2, -683).
Common Mistakes and How to Avoid Them in Factors of 1366
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 1366, 1 and 1366 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1366 consist of -1, -2, -683, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1366/1.5 is not 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 the factors of 1366 are prime numbers.
For example, 2 and 683 are the prime factors of 1366, but it has other factors like 1 and 1366.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1366 as 2 × 683 and missing all the key factors.
Factors of 1366 Examples
Problem 1
There are 2 teams and 1366 participants. How will they divide the participants equally?
They will get 683 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1366/2 = 683
Problem 2
A rectangular garden has a length of 683 meters and a total area of 1366 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1366 = 683 × width
To find the value of width, we need to shift 683 to the left side.
1366/683 = width
Width = 2.
Problem 3
There are 1366 marbles and 683 boxes. How many marbles will be in each box?
Each box will have 2 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
1366/683 = 2
Problem 4
In a school, there are 1366 students and 2 classes. How many students are there in each class?
There are 683 students in each class.
Explanation
Dividing the students by the total number of classes, we will get the number of students in each class.
1366/2 = 683
Problem 5
1366 apples need to be packed in 683 baskets. How many apples will go in each basket?
Each basket will have 2 apples.
Explanation
Divide total apples by the number of baskets.
1366/683 = 2
FAQs on Factors of 1366
1.What are the factors of 1366?
2.Mention the prime factors of 1366.
3.Is 1366 a multiple of 2?
4.Mention the factor pairs of 1366?
5.What is the square of 1366?
Important Glossaries for Factors of 1366
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1366 are 1, 2, 683, and 1366.
- Prime factors: The factors which are prime numbers. For example, 2 and 683 are prime factors of 1366.
- 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 1366 are (1, 1366) and (2, 683).
- Negative factors: Factors that are negative numbers. For example, -1, -2, -683, and -1366 are negative factors of 1366.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1366 is 2 × 683.
Explore More numbers
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.
