107 LearnersLast updated on May 26th, 2025
Factors of 921
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 921, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 921?
The numbers that divide 921 evenly are known as factors of 921. A factor of 921 is a number that divides the number without remainder. The factors of 921 are 1, 3, 307, and 921.
Negative factors of 921: -1, -3, -307, and -921.
Prime factors of 921: 3 and 307.
Prime factorization of 921: 3 × 307.
The sum of factors of 921: 1 + 3 + 307 + 921 = 1232
How to Find Factors of 921?
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 921. Identifying the numbers which are multiplied to get the number 921 is the multiplication method.
Step 1: Multiply 921 by 1, 921 × 1 = 921.
Step 2: Check for other numbers that give 921 after multiplying
3 × 307 = 921
Therefore, the positive factor pairs of 921 are: (1, 921) and (3, 307). All these factor pairs result in 921. 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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 921 by 1, 921 ÷ 1 = 921.
Step 2: Continue dividing 921 by the numbers until the remainder becomes 0.
921 ÷ 1 = 921
921 ÷ 3 = 307
Therefore, the factors of 921 are: 1, 3, 307, and 921.
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 921 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
921 ÷ 3 = 307
307 is a prime number and cannot be divided further. The prime factors of 921 are 3 and 307. The prime factorization of 921 is: 3 × 307.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 921 is divided by 3 to get 307. 307 is a prime number, which cannot be divided anymore. So, the prime factorization of 921 is: 3 × 307.
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 921: (1, 921) and (3, 307).
- Negative factor pairs of 921: (-1, -921) and (-3, -307).
Common Mistakes and How to Avoid Them in Factors of 921
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 921, 1 and 921 are also factors.
Factors of 921 Examples
Problem 1
A group of 3 hikers found 921 stones. How many stones will each hiker carry if divided equally?
Each hiker will carry 307 stones.
Explanation
To divide the stones equally, we need to divide the total stones by the number of hikers.
921/3 = 307
Problem 2
A rectangular garden has a length of 3 meters and a total area of 921 square meters. Find the width?
307 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
921 = 3 × width
To find the value of width, we need to shift 3 to the left side.
921/3 = width
Width = 307.
Problem 3
There are 307 boxes and 921 apples. How many apples will be in each box?
Each box will have 3 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
921/307 = 3
Problem 4
In a team of 921 players, they are grouped into 3 squads. How many players are there in each squad?
There are 307 players in each squad.
Explanation
Dividing the players by the total squads, we will get the number of players in each squad.
921/3 = 307
Problem 5
921 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 307 books.
Explanation
Divide total books by shelves.
921/3 = 307
FAQs on Factors of 921
1.What are the factors of 921?
2.Mention the prime factors of 921.
3.Is 921 a multiple of 3?
4.Mention the factor pairs of 921?
5.What is the square of 921?
Important Glossaries for Factors of 921
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 921 are 1, 3, 307, and 921.
- Prime factors: The factors which are prime numbers. For example, 3 and 307 are prime factors of 921.
- 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 921 are (1, 921) and (3, 307).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 921 is 3 × 307.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 921 is a multiple of 3.
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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.
