101 LearnersLast updated on May 26th, 2025
Factors of 421
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 421, how they are used in real life, and tips to learn them quickly.
What are the Factors of 421?
The numbers that divide 421 evenly are known as factors of 421.
A factor of 421 is a number that divides the number without remainder.
The factors of 421 are 1 and 421.
Negative factors of 421: -1 and -421.
Prime factors of 421: 421 (since 421 is a prime number).
Prime factorization of 421: 421.
The sum of factors of 421: 1 + 421 = 422
How to Find Factors of 421?
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 421. Identifying the numbers which are multiplied to get the number 421 is the multiplication method.
Step 1: Multiply 421 by 1, 421 × 1 = 421.
Therefore, the positive factor pairs of 421 are: (1, 421).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 421 by 1, 421 ÷ 1 = 421.
Step 2: Check if 421 can be divided by any other numbers without leaving a remainder.
Since 421 is a prime number, it can only be divided evenly by 1 and itself.
Therefore, the factors of 421 are: 1 and 421.
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 421 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 421 is a prime number, it cannot be further broken down.
The prime factors of 421 are: 421. The prime factorization of 421 is: 421.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
Since 421 is a prime number, it cannot be broken down further using a factor tree.
The prime factorization of 421 is: 421.
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 421: (1, 421).
Negative factor pairs of 421: (-1, -421).
Common Mistakes and How to Avoid Them in Factors of 421
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 421, 1 and 421 are also factors.
Factors of 421 Examples
Problem 1
There are 421 pages in a book. If you want to split them into 1-chapter sections, how many chapters will there be?
There will be 421 chapters.
Explanation
To divide the pages equally, we need to divide the total pages by the number of chapters.
421/1 = 421
Problem 2
A wall is 421 bricks high and needs to be divided into sections of 1 brick each. How many sections will there be?
421 sections.
Explanation
To find the number of sections, we use the formula, Height = number of bricks per section × number of sections 421 = 1 × number of sections
Number of sections = 421/1 = 421.
Problem 3
There are 421 marbles and 1 bag. How many marbles will be in each bag?
Each bag will have 421 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags.
421/1 = 421
Problem 4
In a contest, there are 421 participants, and each receives 1 prize. How many prizes are given out?
421 prizes are given out.
Explanation
Each participant receives one prize, so the total number of prizes is equal to the number of participants.
421/1 = 421
Problem 5
421 books need to be arranged in 1 shelf. How many books will go on the shelf?
All 421 books will go on the shelf.
Explanation
Divide total books by the number of shelves.
421/1 = 421
FAQs on Factors of 421
1.What are the factors of 421?
2.Mention the prime factors of 421.
3.Is 421 a multiple of 2?
4.Mention the factor pairs of 421?
5.What is the square of 421?
6.How can children in India use numbers in everyday life to understand Factors of 421?
7.What are some fun ways kids in India can practice Factors of 421 with numbers?
8.What role do numbers and Factors of 421 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 421 skills?
Important Glossaries for Factors of 421
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 421 are 1 and 421.
- Prime factors: The factors which are prime numbers. For example, 421 is a prime factor of itself.
- 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 421 are (1, 421).
- Prime number: A number that has only two factors, 1 and itself. For example, 421 is a prime number.
- Division method: A method to find factors by dividing the number by whole numbers until there is no remainder.
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About BrightChamps in India
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.
