117 LearnersLast updated on May 26th, 2025
Factors of 2923
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 2923, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2923?
The numbers that divide 2923 evenly are known as factors of 2923.
A factor of 2923 is a number that divides the number without remainder.
The factors of 2923 are 1, 7, 419, and 2923.
Negative factors of 2923: -1, -7, -419, and -2923.
Prime factors of 2923: 7 and 419.
Prime factorization of 2923: 7 × 419.
The sum of factors of 2923: 1 + 7 + 419 + 2923 = 3350
How to Find Factors of 2923?
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 2923. Identifying the numbers which are multiplied to get the number 2923 is the multiplication method.
Step 1: Multiply 2923 by 1, 2923 × 1 = 2923
Step 2: Check for other numbers that give 2923 after multiplying 7 × 419 = 2923
Therefore, the positive factor pairs of 2923 are: (1, 2923), (7, 419). All these factor pairs result in 2923. 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 the simple division method -
Step 1: Divide 2923 by 1, 2923 ÷ 1 = 2923.
Step 2: Continue dividing 2923 by the numbers until the remainder becomes 0.
2923 ÷ 1 = 2923
2923 ÷ 7 = 419
2923 ÷ 419 = 7
Therefore, the factors of 2923 are: 1, 7, 419, 2923.
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 2923 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2923 ÷ 7 = 419
419 ÷ 419 = 1
The prime factors of 2923 are 7 and 419.
The prime factorization of 2923 is: 7 × 419.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2923 is divided by 7 to get 419.
Step 2: Now divide 419 by 419 to get 1. Here, 419 is the prime number, that cannot be divided anymore. So, the prime factorization of 2923 is: 7 × 419.
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 2923: (1, 2923), (7, 419).
Negative factor pairs of 2923: (-1, -2923), (-7, -419).
Common Mistakes and How to Avoid Them in Factors of 2923
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 2923, 1 and 2923 is also a factor.
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 2923 consist of -1, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 2923/1.5 = 1948.666..., 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 2923 are prime numbers.
For example, 7 and 419 are the prime factors of 2923, but it has other factors like 1, 2923.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, Not breaking 2923 as 7 × 419 and missing all the key factors.
Factors of 2923 Examples
Problem 1
There are 7 teams and 2923 points. How will they divide it equally?
They will get 419 points each.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
2923/7 = 419
Problem 2
A rectangular park has a length of 7 meters and a total area of 2923 square meters. Find the width?
419 meters.
Explanation
To find the width of the park, we use the formula,
Area = length × width
2923 = 7 × width
To find the value of width, we need to shift 7 to the left side.
2923/7 = width
Width = 419.
Problem 3
There are 419 seats and 2923 spectators. How many spectators will be in each seat?
Each seat will have 7 spectators.
Explanation
To find the spectators in each seat, divide the total spectators with the seats.
2923/419 = 7
Problem 4
In a hall, there are 2923 chairs, and 7 rows. How many chairs are there in each row?
There are 419 chairs in each row.
Explanation
Dividing the chairs with the total rows, we will get the number of chairs in each row.
2923/7 = 419
Problem 5
2923 apples need to be arranged in 7 baskets. How many apples will go in each basket?
Each of the baskets has 419 apples.
Explanation
Divide total apples with baskets.
2923/7 = 419
FAQs on Factors of 2923
1.What are the factors of 2923?
2.Mention the prime factors of 2923.
3.Is 2923 a multiple of 7?
4.Mention the factor pairs of 2923?
5.What is the square of 2923?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2923?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2923 with numbers?
8.What role do numbers and Factors of 2923 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 2923 skills?
Important Glossaries for Factor of 2923
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2923 are 1, 7, 419, and 2923.
- Prime factors: The factors which are prime numbers. For example, 7 and 419 are prime factors of 2923.
- Prime factorization: Breaking down a number into its prime number components. For example, the prime factorization of 2923 is 7 × 419.
- 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 2923 are (1, 2923), (7, 419).
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 2923 is a multiple of 7.
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About BrightChamps in United Arab Emirates
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.
