137 LearnersLast updated on May 28th, 2025
Factors of 1308
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 1308, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1308?
The numbers that divide 1308 evenly are known as factors of 1308.
A factor of 1308 is a number that divides the number without remainder.
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, and 1308.
Negative factors of 1308: -1, -2, -3, -4, -6, -12, -109, -218, -327, -436, -654, and -1308.
Prime factors of 1308: 2, 3, and 109.
Prime factorization of 1308: 2² × 3 × 109.
The sum of factors of 1308: 1 + 2 + 3 + 4 + 6 + 12 + 109 + 218 + 327 + 436 + 654 + 1308 = 3080
How to Find Factors of 1308?
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 1308. Identifying the numbers which are multiplied to get the number 1308 is the multiplication method.
Step 1: Multiply 1308 by 1, 1308 × 1 = 1308.
Step 2: Check for other numbers that give 1308 after multiplying
2 × 654 = 1308
3 × 436 = 1308
4 × 327 = 1308
6 × 218 = 1308
12 × 109 = 1308
Therefore, the positive factor pairs of 1308 are: (1, 1308), (2, 654), (3, 436), (4, 327), (6, 218), (12, 109).
All these factor pairs result in 1308.
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 1308 by 1, 1308 ÷ 1 = 1308.
Step 2: Continue dividing 1308 by the numbers until the remainder becomes 0.
1308 ÷ 1 = 1308
1308 ÷ 2 = 654
1308 ÷ 3 = 436
1308 ÷ 4 = 327
1308 ÷ 6 = 218
1308 ÷ 12 = 109
Therefore, the factors of 1308 are: 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308.
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 1308 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1308 ÷ 2 = 654
654 ÷ 2 = 327
327 ÷ 3 = 109
109 ÷ 109 = 1
The prime factors of 1308 are 2, 3, and 109.
The prime factorization of 1308 is: 2² × 3 × 109.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1308 is divided by 2 to get 654.
Step 2: Now divide 654 by 2 to get 327.
Step 3: Then divide 327 by 3 to get 109.
Here, 109 is a prime number that cannot be divided anymore.
So, the prime factorization of 1308 is: 2² × 3 × 109.
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 1308: (1, 1308), (2, 654), (3, 436), (4, 327), (6, 218), and (12, 109).
Negative factor pairs of 1308: (-1, -1308), (-2, -654), (-3, -436), (-4, -327), (-6, -218), and (-12, -109).
Common Mistakes and How to Avoid Them in Factors of 1308
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 1308, 1 and 1308 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1308 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1308/1.5 = 872, and it 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 1308 are prime numbers.
For example, 2, 3, and 109 are the prime factors of 1308, but it has other factors like 4, 6.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1308 as 2² × 3 × 109 and missing all the key factors.
Factors of 1308 Examples
Problem 1
A farmer has 1308 apples and wants to distribute them equally in 6 baskets. How many apples will go in each basket?
Each basket will have 218 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1308/6 = 218
Problem 2
A rectangular garden has a length of 109 meters and a total area of 1308 square meters. What is the width of the garden?
12 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1308 = 109 × width
To find the value of width, we need to shift 109 to the left side.
1308/109 = width
Width = 12.
Problem 3
There are 3 teams and 1308 tennis balls. How many balls will each team get?
Each team will get 436 balls.
Explanation
To find the balls for each team, divide the total balls by the number of teams.
1308/3 = 436
Problem 4
In a conference, there are 1308 attendees and 109 tables. How many attendees will be seated at each table?
Each table will have 12 attendees.
Explanation
Dividing the attendees by the total tables, we will get the number of attendees at each table.
1308/109 = 12
Problem 5
1308 books need to be arranged on 12 shelves. How many books will go on each shelf?
Each shelf will have 109 books.
Explanation
Divide total books by the number of shelves.
1308/12 = 109
FAQs on Factors of 1308
1.What are the factors of 1308?
2.Mention the prime factors of 1308.
3.Is 1308 a multiple of 3?
4.Mention the factor pairs of 1308?
5.What is the square of 1308?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1308?
7.What are some fun ways kids in Bahrain can practice Factors of 1308 with numbers?
8.What role do numbers and Factors of 1308 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1308 skills?
Important Glossaries for Factor of 1308
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, and 1308.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 109 are prime factors of 1308.
- 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 1308 are (1, 1308), (2, 654), etc.
- Negative factors: Factors that are negative counterparts of the positive factors. For example, -1, -2, -3, etc., are negative factors of 1308.
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1308 is 2² × 3 × 109.
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About BrightChamps in Bahrain
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.
