Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 8 friends and 808 chocolates. How will they divide them equally?
They will get 101 chocolates each.
To divide the chocolates equally, we need to divide the total chocolates with the number of friends.
808/8 = 101
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.
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.
There are 404 boxes and 808 candies. How many candies will be in each box?
Each box will have 2 candies.
To find the candies in each box, divide the total candies with the boxes.
808/404 = 2
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.
Dividing the students with the total groups, we will get the number of students in each group.
808/8 = 101
808 chairs need to be arranged in 4 rows. How many chairs will go in each row?
Each of the rows has 202 chairs.
Divide total chairs with rows.
808/4 = 202
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.
: She loves to read number jokes and games.