137 LearnersLast updated on May 26th, 2025
Factors of 909
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 909, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 909?
The numbers that divide 909 evenly are known as factors of 909. A factor of 909 is a number that divides the number without remainder. The factors of 909 are 1, 3, 9, 101, 303, and 909.
Negative factors of 909: -1, -3, -9, -101, -303, and -909.
Prime factors of 909: 3 and 101.
Prime factorization of 909: 3² × 101.
The sum of factors of 909: 1 + 3 + 9 + 101 + 303 + 909 = 1326
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
How to Find Factors of 909?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 909. Identifying the numbers which are multiplied to get the number 909 is the multiplication method.
Step 1: Multiply 909 by 1, 909 × 1 = 909.
Step 2: Check for other numbers that give 909 after multiplying
3 × 303 = 909
9 × 101 = 909
Therefore, the positive factor pairs of 909 are: (1, 909), (3, 303), and (9, 101). All these factor pairs result in 909. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 909 by 1, 909 ÷ 1 = 909.
Step 2: Continue dividing 909 by the numbers until the remainder becomes 0.
909 ÷ 1 = 909
909 ÷ 3 = 303
909 ÷ 9 = 101
Therefore, the factors of 909 are: 1, 3, 9, 101, 303, 909.
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 909 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
909 ÷ 3 = 303
303 ÷ 3 = 101
101 ÷ 101 = 1
The prime factors of 909 are 3 and 101. The prime factorization of 909 is: 3² × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 909 is divided by 3 to get 303.
Step 2: Now divide 303 by 3 to get 101.
Step 3: Here, 101 is a prime number that cannot be divided anymore. So, the prime factorization of 909 is: 3² × 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 909: (1, 909), (3, 303), (9, 101).
- Negative factor pairs of 909: (-1, -909), (-3, -303), (-9, -101).
Common Mistakes and How to Avoid Them in Factors of 909
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 909, 1 and 909 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 909 consist of -1, -3, -9, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 909/1.5 = 606, 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 909 are prime numbers. For example, 3 and 101 are the prime factors of 909, but it has other factors like 9, 303.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors. For example, not breaking 909 as 3² × 101 and missing all the key factors.
Level Up with a Math Certification!
2X Faster Learning (Grades 1-12)
Factors of 909 Examples
Problem 1
There are 9 teams and 909 points. How will they distribute the points equally?
They will get 101 points each.
Explanation
To distribute the points equally, we need to divide the total points with the number of teams.
909/9 = 101
Problem 2
A rectangular board has a length of 9 meters and a total area of 909 square meters. Find the width.
101 meters.
Explanation
To find the width of the board, we use the formula,
Area = length × width
909 = 9 × width
To find the value of width, we need to shift 9 to the left side.
909/9 = width
Width = 101.
Problem 3
There are 3 boxes and 909 marbles. How many marbles will be in each box?
Each box will have 303 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
909/3 = 303
Problem 4
In a seminar, there are 909 attendees, divided into 101 groups. How many attendees are there in each group?
There are 9 attendees in each group.
Explanation
Dividing the attendees by the total groups, we will get the number of attendees in each group.
909/101 = 9
Problem 5
909 books need to be arranged in 3 sections. How many books will go in each section?
Each section has 303 books.
Explanation
Divide total books by sections.
909/3 = 303
Turn your child into a math star!
#1 Math Hack Schools Won't Teach!
FAQs on Factors of 909
1.What are the factors of 909?
2.Mention the prime factors of 909.
3.Is 909 a multiple of 9?
4.Mention the factor pairs of 909?
5.What is the square of 909?
6.How can children in United States use numbers in everyday life to understand Factors of 909?
7.What are some fun ways kids in United States can practice Factors of 909 with numbers?
8.What role do numbers and Factors of 909 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 909 skills?
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
Important Glossaries for Factor of 909
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 909 are 1, 3, 9, 101, 303, and 909.
- Prime factors: The factors which are prime numbers. For example, 3 and 101 are prime factors of 909.
- 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 909 are (1, 909), (3, 303), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 909 is 3² × 101.
- Multiple: A number that can be divided by another number without a remainder. For example, 909 is a multiple of 9.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 909
About BrightChamps in United States
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.
