124 LearnersLast updated on May 26th, 2025
Factors of 908
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 908, how they are used in real life, and tips to learn them quickly.
What are the Factors of 908?
The numbers that divide 908 evenly are known as factors of 908. A factor of 908 is a number that divides the number without a remainder. The factors of 908 are 1, 2, 4, 227, 454, and 908.
Negative factors of 908: -1, -2, -4, -227, -454, and -908.
Prime factors of 908: 2 and 227.
Prime factorization of 908: 2² × 227.
The sum of factors of 908: 1 + 2 + 4 + 227 + 454 + 908 = 1596
How to Find Factors of 908?
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 908. Identifying the numbers which are multiplied to get the number 908 is the multiplication method.
Step 1: Multiply 908 by 1, 908 × 1 = 908.
Step 2: Check for other numbers that give 908 after multiplying
2 × 454 = 908
4 × 227 = 908
Therefore, the positive factor pairs of 908 are: (1, 908), (2, 454), (4, 227). All these factor pairs result in 908. 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 a simple division method -
Step 1: Divide 908 by 1, 908 ÷ 1 = 908.
Step 2: Continue dividing 908 by the numbers until the remainder becomes 0.
908 ÷ 1 = 908
908 ÷ 2 = 454
908 ÷ 4 = 227
Therefore, the factors of 908 are: 1, 2, 4, 227, 454, 908.
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 908 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
908 ÷ 2 = 454
454 ÷ 2 = 227
227 ÷ 227 = 1
The prime factors of 908 are 2 and 227. The prime factorization of 908 is: 2² × 227.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 908 is divided by 2 to get 454.
Step 2: Now divide 454 by 2 to get 227.
Step 3: Here, 227 is a prime number and cannot be divided further. So, the prime factorization of 908 is: 2² × 227.
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 908: (1, 908), (2, 454), and (4, 227).
- Negative factor pairs of 908: (-1, -908), (-2, -454), and (-4, -227).
Common Mistakes and How to Avoid Them in Factors of 908
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 908, 1 and 908 is also a factor.
Factors of 908 Examples
Problem 1
There are 2 teams and 908 points to score. How will they divide the points equally?
Each team will have 454 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
908/2 = 454
Problem 2
A rectangular garden has a length of 227 meters and a total area of 908 square meters. Find the width?
4 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
908 = 227 × width
To find the value of width, we need to shift 227 to the left side.
908/227 = width
Width = 4.
Problem 3
There are 4 storage bins and 908 apples. How many apples will be in each bin?
Each bin will have 227 apples.
Explanation
To find the apples in each bin, divide the total apples by the number of bins.
908/4 = 227
Problem 4
In a park, there are 908 trees, and 4 sections. How many trees are there in each section?
There are 227 trees in each section.
Explanation
Dividing the trees by the total sections, we will get the number of trees in each section.
908/4 = 227
Problem 5
908 books need to be arranged in 227 boxes. How many books will go in each box?
Each box will have 4 books.
Explanation
Divide total books by boxes.
908/227 = 4
FAQs on Factors of 908
1.What are the factors of 908?
2.Mention the prime factors of 908.
3.Is 908 a multiple of 4?
4.Mention the factor pairs of 908?
5.What is the square of 908?
Important Glossaries for Factor of 908
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 908 are 1, 2, 4, 227, 454, and 908.
- Prime factors: The factors which are prime numbers. For example, 2 and 227 are prime factors of 908.
- 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 908 are (1, 908), (2, 454), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 908 = 2² × 227.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to the original number. For example, using multiplication, factors of 908 are found as (1, 908), (2, 454), and (4, 227).
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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.
Fun Fact
: She loves to read number jokes and games.
