127 LearnersLast updated on May 26th, 2025
Factors of 1901
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 1901, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1901?
The numbers that divide 1901 evenly are known as factors of 1901.
A factor of 1901 is a number that divides the number without remainder.
The factors of 1901 are 1 and 1901 since 1901 is a prime number.
Negative factors of 1901: -1 and -1901.
Prime factors of 1901: 1901 itself, as it is a prime number.
Prime factorization of 1901: 1901.
The sum of factors of 1901: 1 + 1901 = 1902
How to Find Factors of 1901?
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 1901. Identifying the numbers which are multiplied to get the number 1901 is the multiplication method. Since 1901 is a prime number, it can only be multiplied by 1 and itself:
Step 1: Multiply 1901 by 1, 1901 × 1 = 1901.
Therefore, the positive factor pairs of 1901 are: (1, 1901). 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 1901 by 1, 1901 ÷ 1 = 1901.
Step 2: Check divisibility by numbers up to the square root of 1901 and find that only 1 and 1901 divide evenly.\
Therefore, the factors of 1901 are: 1 and 1901.
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 1901 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 1901 is a prime number itself, the prime factorization of 1901 is: 1901.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1901 is a prime number, it cannot be broken down further. Therefore, the prime factorization of 1901 is simply: 1901.
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 1901: (1, 1901).
Negative factor pairs of 1901: (-1, -1901).
Common Mistakes and How to Avoid Them in Factors of 1901
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 1901, 1 and 1901 are also factors.
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 1901 consist of -1 and -1901.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 0.5 as a factor, because 1901/0.5 = 3802, 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 1901 are prime numbers. 1901 is a prime number, so its only factors are 1 and 1901 itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, claiming a breakdown of 1901 into smaller factors, which is not possible as 1901 is a prime number.
Factors of 1901 Examples
Problem 1
There are 1901 apples and 1 basket. How will you distribute them?
All 1901 apples will go into the basket.
Explanation
All apples are placed in the basket since 1901 can only be distributed by 1 evenly.
1901/1 = 1901
Problem 2
A library has 1901 books, and they are to be placed on a single shelf. How many books will the shelf hold?
The shelf will hold 1901 books.
Explanation
Since all books need to be placed on one shelf:
1901/1 = 1901
Problem 3
A farmer has a single plot of land with 1901 square meters. How many plots of 1 square meter each can he divide it into?
1901 plots of 1 square meter each.
Explanation
To divide the land into smaller plots:
1901/1 = 1901
Problem 4
There is a single event with 1901 seats. How many people will fill the seats if each person occupies one seat?
1901 people will fill the seats.
Explanation
Each person occupying one seat results in:
1901/1 = 1901
Problem 5
A large parcel contains 1901 individual packets. How many packets will one receive if they receive the entire parcel?
One person will receive 1901 packets.
Explanation
The entire parcel contains:
1901/1 = 1901
FAQs on Factors of 1901
1.What are the factors of 1901?
2.Mention the prime factors of 1901.
3.Is 1901 a prime number?
4.Mention the factor pairs of 1901?
5.What is the square of 1901?
6.How can children in United States use numbers in everyday life to understand Factors of 1901?
7.What are some fun ways kids in United States can practice Factors of 1901 with numbers?
8.What role do numbers and Factors of 1901 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1901 skills?
Important Glossaries for Factors of 1901
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1901 are 1 and 1901.
- Prime factors: The factors which are prime numbers. For example, 1901 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 pair of 1901 is (1, 1901).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 1901 is a prime number.
- Sum of factors: The sum of all factors of a number. For example, the sum of factors of 1901 is 1902.
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About BrightChamps in United States
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.
