101 LearnersLast updated on May 26th, 2025
Factors of 423
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 423, how they are used in real life, and tips to learn them quickly.
What are the Factors of 423?
The numbers that divide 423 evenly are known as factors of 423.
A factor of 423 is a number that divides the number without remainder.
The factors of 423 are 1, 3, 141, and 423.
Negative factors of 423: -1, -3, -141, and -423.
Prime factors of 423: 3 and 47.
Prime factorization of 423: 3 × 141 or 3 × 3 × 47.
The sum of factors of 423: 1 + 3 + 141 + 423 = 568
How to Find Factors of 423?
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 423. Identifying the numbers which are multiplied to get the number 423 is the multiplication method.
Step 1: Multiply 423 by 1, 423 × 1 = 423.
Step 2: Check for other numbers that give 423 after multiplying
3 × 141 = 423
Therefore, the positive factor pairs of 423 are: (1, 423) and (3, 141).
All these factor pairs result in 423.
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 423 by 1, 423 ÷ 1 = 423.
Step 2: Continue dividing 423 by the numbers until the remainder becomes 0. 423 ÷ 1 = 423 423 ÷ 3 = 141
Therefore, the factors of 423 are: 1, 3, 141, 423.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 423 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
423 ÷ 3 = 141 141 ÷ 3 = 47 47 ÷ 47 = 1
The prime factors of 423 are 3 and 47.
The prime factorization of 423 is: 3 × 3 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 423 is divided by 3 to get 141.
Step 2: Now divide 141 by 3 to get 47.
Step 3: Here, 47 is a prime number, that cannot be divided anymore.
So, the prime factorization of 423 is: 3 × 3 × 47.
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 423: (1, 423) and (3, 141).
Negative factor pairs of 423: (-1, -423) and (-3, -141).
Common Mistakes and How to Avoid Them in Factors of 423
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 423, 1 and 423 are also factors.
Factors of 423 Examples
Problem 1
There are 3 teams and 423 participants. How will they divide it equally?
They will get 141 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
423/3 = 141
Problem 2
A banner is 3 meters in height and has a total area of 423 square meters. Find the width?
141 meters.
Explanation
To find the width of the banner, we use the formula,
Area = height × width
423 = 3 × width
To find the value of the width, we need to divide by 3.
423/3 = width Width = 141.
Problem 3
There are 141 gift boxes and 423 gifts. How many gifts will be in each box?
Each box will have 3 gifts.
Explanation
To find the gifts in each box, divide the total gifts by the number of boxes.
423/141 = 3
Problem 4
In a workshop, there are 423 participants, and 47 groups. How many participants are there in each group?
There are 9 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
423/47 = 9
Problem 5
423 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 141 books.
Explanation
Divide total books by shelves.
423/3 = 141
FAQs on Factors of 423
1.What are the factors of 423?
2.Mention the prime factors of 423.
3.Is 423 a multiple of 141?
4.Mention the factor pairs of 423?
5.What is the square of 423?
6.How can children in Singapore use numbers in everyday life to understand Factors of 423?
7.What are some fun ways kids in Singapore can practice Factors of 423 with numbers?
8.What role do numbers and Factors of 423 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 423 skills?
Important Glossaries for Factors of 423
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 423 are 1, 3, 141, and 423.
- Prime factors: The factors which are prime numbers. For example, 3 and 47 are prime factors of 423.
- 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 423 are (1, 423) and (3, 141).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 423 is 3 × 3 × 47.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method for 423, we find (1, 423) and (3, 141).
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About BrightChamps in Singapore
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.
