116 LearnersLast updated on May 26th, 2025
Factors of 1808
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 1808, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1808?
The numbers that divide 1808 evenly are known as factors of 1808.
A factor of 1808 is a number that divides the number without remainder.
The factors of 1808 are 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 404, 496, 904, and 1808.
Negative factors of 1808: -1, -2, -4, -8, -13, -16, -26, -31, -52, -62, -104, -124, -208, -248, -404, -496, -904, and -1808.
Prime factors of 1808: 2, 13, and 31.
Prime factorization of 1808: 2^3 × 13 × 31.
The sum of factors of 1808: 1 + 2 + 4 + 8 + 13 + 16 + 26 + 31 + 52 + 62 + 104 + 124 + 208 + 248 + 404 + 496 + 904 + 1808 = 4513
How to Find Factors of 1808?
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 1808. Identifying the numbers which are multiplied to get the number 1808 is the multiplication method.
Step 1: Multiply 1808 by 1, 1808 × 1 = 1808.
Step 2: Check for other numbers that give 1808 after multiplying
2 × 904 = 1808
4 × 452 = 1808
8 × 226 = 1808
13 × 139 = 1808
16 × 113 = 1808
26 × 69 = 1808
31 × 58 = 1808
Therefore, the positive factor pairs of 1808 are: (1, 1808), (2, 904), (4, 452), (8, 226), (13, 139), (16, 113), (26, 69), (31, 58).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 the simple division method -
Step 1: Divide 1808 by 1, 1808 ÷ 1 = 1808.
Step 2: Continue dividing 1808 by the numbers until the remainder becomes 0.
1808 ÷ 1 = 1808
1808 ÷ 2 = 904
1808 ÷ 4 = 452
1808 ÷ 8 = 226
1808 ÷ 13 = 139
1808 ÷ 16 = 113
1808 ÷ 26 = 69
1808 ÷ 31 = 58
Therefore, the factors of 1808 are: 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 404, 496, 904, 1808.
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 1808 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1808 ÷ 2 = 904
904 ÷ 2 = 452
452 ÷ 2 = 226
226 ÷ 2 = 113
113 ÷ 13 = 31
31 ÷ 31 = 1
The prime factors of 1808 are 2, 13, and 31.
The prime factorization of 1808 is: 2^3 × 13 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1808 is divided by 2 to get 904.
Step 2: Now divide 904 by 2 to get 452.
Step 3: Then divide 452 by 2 to get 226.
Step 4: Divide 226 by 2 to get 113.
Step 5: Divide 113 by 13 to get 31.
Here, 31 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1808 is: 2^3 × 13 × 31.
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 1808: (1, 1808), (2, 904), (4, 452), (8, 226), (13, 139), (16, 113), (26, 69), and (31, 58).
Negative factor pairs of 1808: (-1, -1808), (-2, -904), (-4, -452), (-8, -226), (-13, -139), (-16, -113), (-26, -69), and (-31, -58).
Common Mistakes and How to Avoid Them in Factors of 1808
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 1808, 1 and 1808 are also factors.
Factors of 1808 Examples
Problem 1
There are 18 people and 1808 candies. How will they divide it equally?
They will get 100 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of people.
1808/18 = 100.4444, which is not perfect, so let's try 16 people.
1808/16 = 113, which is perfect.
Problem 2
A field is rectangular, the length of the field is 31 meters, and the total area is 1808 square meters. Find the width?
58 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1808 = 31 × width
To find the value of width, we need to shift 31 to the left side.
1808/31 = width
Width = 58.
Problem 3
There are 13 boxes and 1808 marbles. How many marbles will be in each box?
Each box will have 139 marbles.
Explanation
To find the marbles in each box, divide the total marbles with the boxes.
1808/13 = 139
Problem 4
In a class, there are 1808 students, and 62 groups. How many students are there in each group?
There are 29 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1808/62 = 29
Problem 5
1808 books need to be arranged in 8 shelves. How many books will go on each shelf?
Each of the shelves has 226 books.
Explanation
Divide total books with shelves.
1808/8 = 226
FAQs on Factors of 1808
1.What are the factors of 1808?
2.Mention the prime factors of 1808.
3.Is 1808 a multiple of 4?
4.Mention the factor pairs of 1808?
5.What is the square of 1808?
6.How can children in Canada use numbers in everyday life to understand Factors of 1808?
7.What are some fun ways kids in Canada can practice Factors of 1808 with numbers?
8.What role do numbers and Factors of 1808 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1808 skills?
Important Glossaries for Factor of 1808
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1808 are 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 404, 496, 904, and 1808.
- Prime factors: The factors which are prime numbers. For example, 2, 13, and 31 are prime factors of 1808.
- 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 1808 are (1, 1808), (2, 904), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1808 is 2^3 × 13 × 31.
- Multiple: A number that can be divided by another number without a remainder. For example, 1808 is a multiple of 4.
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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.
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