106 LearnersLast updated on May 26th, 2025
Factors of 923
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 923, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 923?
The numbers that divide 923 evenly are known as factors of 923. A factor of 923 is a number that divides the number without remainder. The factors of 923 are 1, 13, 71, and 923.
Negative factors of 923: -1, -13, -71, and -923.
Prime factors of 923: 13 and 71.
Prime factorization of 923: 13 × 71.
The sum of factors of 923: 1 + 13 + 71 + 923 = 1008
How to Find Factors of 923?
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 923. Identifying the numbers which are multiplied to get the number 923 is the multiplication method.
Step 1: Multiply 923 by 1, 923 × 1 = 923.
Step 2: Check for other numbers that give 923 after multiplying
13 × 71 = 923
Therefore, the positive factor pairs of 923 are: (1, 923) and (13, 71). All these factor pairs result in 923. 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 simple division method -
Step 1: Divide 923 by 1, 923 ÷ 1 = 923.
Step 2: Continue dividing 923 by the numbers until the remainder becomes 0.
923 ÷ 1 = 923
923 ÷ 13 = 71
923 ÷ 71 = 13
Therefore, the factors of 923 are: 1, 13, 71, 923.
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 923 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
923 ÷ 13 = 71
71 ÷ 71 = 1
The prime factors of 923 are 13 and 71. The prime factorization of 923 is: 13 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 923 is divided by 13 to get 71.
Step 2: Now divide 71 by 71 to get 1. Here, 71 is a prime number that cannot be divided anymore. So, the prime factorization of 923 is: 13 × 71.
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 923: (1, 923) and (13, 71).
- Negative factor pairs of 923: (-1, -923) and (-13, -71).
Common Mistakes and How to Avoid Them in Factors of 923
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 923, 1 and 923 is also a factor.
Factors of 923 Examples
Problem 1
There are 923 apples and 13 baskets. How will they divide it equally?
They will get 71 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
923/13 = 71
Problem 2
A conference room is rectangular, the length of the room is 71 meters and the total area is 923 square meters. Find the width?
13 meters.
Explanation
To find the width of the room, we use the formula,
Area = length × width
923 = 71 × width
To find the value of width, we need to shift 71 to the left side.
923/71 = width
Width = 13.
Problem 3
There are 923 marbles and 71 bags. How many marbles will be in each bag?
Each bag will have 13 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
923/71 = 13
Problem 4
In a competition, there are 923 participants, and 13 teams. How many participants are there in each team?
There are 71 participants in each team.
Explanation
Dividing the participants with the total teams, we will get the number of participants in each team.
923/13 = 71
Problem 5
923 pages need to be sorted into 13 folders. How many pages will go in each folder?
Each of the folders has 71 pages.
Explanation
Divide total pages with folders.
923/13 = 71
FAQs on Factors of 923
1.What are the factors of 923?
2.Mention the prime factors of 923.
3.Is 923 a multiple of 13?
4.Mention the factor pairs of 923?
5.What is the square of 923?
Important Glossaries for Factor of 923
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 923 are 1, 13, 71, and 923.
- Prime factors: The factors which are prime numbers. For example, 13 and 71 are prime factors of 923.
- 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 923 are (1, 923) and (13, 71).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 923 is 13 × 71.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 923 is a multiple of 13.
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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.
