124 LearnersLast updated on May 26th, 2025
Factors of 808
Factors are the numbers that divide any given number evenly without a 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 808, how they are used in real life, and tips to learn them quickly.
What are the Factors of 808?
The numbers that divide 808 evenly are known as factors of 808.
A factor of 808 is a number that divides the number without a remainder.
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, and 808.
Negative factors of 808: -1, -2, -4, -8, -101, -202, -404, and -808.
Prime factors of 808: 2 and 101.
Prime factorization of 808: 2³ × 101.
The sum of factors of 808: 1 + 2 + 4 + 8 + 101 + 202 + 404 + 808 = 1530
How to Find Factors of 808?
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 808. Identifying the numbers which are multiplied to get the number 808 is the multiplication method.
Step 1: Multiply 808 by 1, 808 × 1 = 808.
Step 2: Check for other numbers that give 808 after multiplying:
2 × 404 = 808
4 × 202 = 808
8 × 101 = 808
Therefore, the positive factor pairs of 808 are: (1, 808), (2, 404), (4, 202), (8, 101). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 808 by 1, 808 ÷ 1 = 808.
Step 2: Continue dividing 808 by the numbers until the remainder becomes 0.
808 ÷ 1 = 808
808 ÷ 2 = 404
808 ÷ 4 = 202
808 ÷ 8 = 101
Therefore, the factors of 808 are: 1, 2, 4, 8, 101, 202, 404, 808.
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 808 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
808 ÷ 2 = 404
404 ÷ 2 = 202
202 ÷ 2 = 101
101 ÷ 101 = 1
The prime factors of 808 are 2 and 101.
The prime factorization of 808 is: 2³ × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 808 is divided by 2 to get 404.
Step 2: Now divide 404 by 2 to get 202.
Step 3: Then divide 202 by 2 to get 101. Here, 101 is a prime number, and it cannot be divided anymore. So, the prime factorization of 808 is: 2³ × 101.
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 808: (1, 808), (2, 404), (4, 202), (8, 101).
Negative factor pairs of 808: (-1, -808), (-2, -404), (-4, -202), (-8, -101).
Common Mistakes and How to Avoid Them in Factors of 808
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 word. Always remember to include 1 and the number itself.
For example, in factors of 808, 1 and 808 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 808 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 808/1.5 = 538.667, 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 808 are prime numbers.
For example, 2 and 101 are the prime factors of 808, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 808 as 2³ × 101 and missing all the key factors.
Factors of 808 Examples
Problem 1
There are 8 friends and 808 chocolates. How will they divide them equally?
They will get 101 chocolates each.
Explanation
To divide the chocolates equally, we need to divide the total chocolates with the number of friends.
808/8 = 101
Problem 2
A field is rectangular, the length of the field is 101 meters, and the total area is 808 square meters. Find the width.
8 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
808 = 101 × width
To find the value of width, we need to shift 101 to the left side.
808/101 = width
Width = 8.
Problem 3
There are 404 boxes and 808 candies. How many candies will be in each box?
Each box will have 2 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
808/404 = 2
Problem 4
In a class, there are 808 students and 8 groups. How many students are there in each group?
There are 101 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
808/8 = 101
Problem 5
808 chairs need to be arranged in 4 rows. How many chairs will go in each row?
Each of the rows has 202 chairs.
Explanation
Divide total chairs with rows.
808/4 = 202
FAQs on Factors of 808
1.What are the factors of 808?
2.Mention the prime factors of 808.
3.Is 808 a multiple of 8?
4.Mention the factor pairs of 808?
5.What is the square of 808?
6.How can children in Singapore use numbers in everyday life to understand Factors of 808?
7.What are some fun ways kids in Singapore can practice Factors of 808 with numbers?
8.What role do numbers and Factors of 808 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 808 skills?
Important Glossaries for Factor of 808
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 808 are 1, 2, 4, 8, 101, 202, 404, and 808.
- Prime factors: The factors which are prime numbers. For example, 2 and 101 are prime factors of 808.
- 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 808 are (1, 808), (2, 404), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 808 can be expressed as 2³ × 101.
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied to get the original number, such as finding factors of 808 as (1, 808), (2, 404), etc.
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About BrightChamps in Singapore
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.
