101 LearnersLast updated on May 26th, 2025
Factors of 401
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 401, how they are used in real life, and tips to learn them quickly.
What are the Factors of 401?
The numbers that divide 401 evenly are known as factors of 401.
A factor of 401 is a number that divides the number without remainder.
The factors of 401 are 1 and 401.
Negative factors of 401: -1 and -401.
Prime factors of 401: 401 (since 401 is a prime number).
Prime factorization of 401: 401.
The sum of factors of 401: 1 + 401 = 402
How to Find Factors of 401?
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 pairs of numbers that are multiplied to give 401. Identifying numbers which are multiplied to get the number 401 is the multiplication method.
Step 1: Multiply 401 by 1, 401 × 1 = 401.
Since 401 is a prime number, the only factor pair is (1, 401).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 a simple division method:
Step 1: Divide 401 by 1, 401 ÷ 1 = 401.
Step 2: Check divisibility by other numbers up to the square root of 401 (approximately 20.02).
Since 401 is not divisible by any other whole numbers, the factors are: 1 and 401.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 401 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
As 401 is already a prime number, its only prime factor is 401.
The prime factorization of 401 is: 401.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
Since 401 is a prime number, it cannot be broken down further.
Thus, the prime factorization of 401 is 401.
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 401: (1, 401).
Negative factor pairs of 401: (-1, -401).
Common Mistakes and How to Avoid Them in Factors of 401
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 401, 1 and 401 are also factors.
Factors of 401 Examples
Problem 1
There are 401 students and 1 classroom. How will they accommodate?
All 401 students will fit in the classroom.
Explanation
To accommodate all students, we need to consider the total number of students and the classroom capacity, which is 401/1 = 401.
Problem 2
A company has 401 employees and needs to assign them to 1 project. How many employees per project?
401 employees per project.
Explanation
To find the number of employees per project, we use the formula, Employees per project = Total employees / Number of projects 401/1 = 401
Problem 3
A library has 401 books and 1 shelf. How many books will be on the shelf?
All 401 books will be on the shelf.
Explanation
To find the books on the shelf, divide the total books by the number of shelves.
401/1 = 401
Problem 4
A concert has 401 tickets, and only 1 ticket booth. How many tickets per booth?
401 tickets per booth.
Explanation
Dividing the tickets by the number of booths gives us the number of tickets per booth.
401/1 = 401
Problem 5
401 chairs need to be arranged in 1 room. How many chairs will be in the room?
All 401 chairs will be in the room.
Explanation
Divide total chairs by the number of rooms.
401/1 = 401
FAQs on Factors of 401
1.What are the factors of 401?
2.Mention the prime factors of 401.
3.Is 401 a prime number?
4.Mention the factor pairs of 401?
5.What is the square of 401?
6.How can children in India use numbers in everyday life to understand Factors of 401?
7.What are some fun ways kids in India can practice Factors of 401 with numbers?
8.What role do numbers and Factors of 401 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 401 skills?
Important Glossaries for Factors of 401
- Factors: The numbers that divide the given number without leaving a remainder. For example, the factors of 401 are 1 and 401.
- Prime factors: The factors which are prime numbers. For example, 401 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 401 is (1, 401).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 401 is a prime number.
- Division method: A technique to find factors by dividing the number with integers to check for a remainder of zero.
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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.
