101 LearnersLast updated on May 26th, 2025
Factors of 2501
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 2501, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2501?
The numbers that divide 2501 evenly are known as factors of 2501.
A factor of 2501 is a number that divides the number without remainder.
The factors of 2501 are 1, 41, 61, and 2501.
Negative factors of 2501: -1, -41, -61, and -2501.
Prime factors of 2501: 41 and 61.
Prime factorization of 2501: 41 × 61.
The sum of factors of 2501: 1 + 41 + 61 + 2501 = 2604
How to Find Factors of 2501?
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 2501. Identifying the numbers which are multiplied to get the number 2501 is the multiplication method.
Step 1: Multiply 2501 by 1, 2501 × 1 = 2501.
Step 2: Check for other numbers that give 2501 after multiplying
41 × 61 = 2501
Therefore, the positive factor pairs of 2501 are: (1, 2501) and (41, 61).
All these factor pairs result in 2501.
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 2501 by 1, 2501 ÷ 1 = 2501.
Step 2: Continue dividing 2501 by the numbers until the remainder becomes 0.
2501 ÷ 1 = 2501
2501 ÷ 41 = 61
2501 ÷ 61 = 41
Therefore, the factors of 2501 are: 1, 41, 61, 2501.
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 2501 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2501 ÷ 41 = 61
61 ÷ 61 = 1
The prime factors of 2501 are 41 and 61.
The prime factorization of 2501 is: 41 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2501 is divided by 41 to get 61.
Here, 61 is a prime number, that cannot be divided anymore.
So, the prime factorization of 2501 is: 41 × 61.
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 2501: (1, 2501) and (41, 61).
Negative factor pairs of 2501: (-1, -2501) and (-41, -61).
Common Mistakes and How to Avoid Them in Factors of 2501
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 2501, 1 and 2501 are also factors.
Factors of 2501 Examples
Problem 1
A farmer has 2501 apples and wants to distribute them equally into 41 baskets. How many apples will each basket contain?
Each basket will contain 61 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
2501/41 = 61
Problem 2
A rectangular garden has a length of 61 meters and a total area of 2501 square meters. What is the width?
41 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2501 = 61 × width
To find the value of width, we need to shift 61 to the left side.
2501/61 = width
Width = 41.
Problem 3
A company has 2501 units of a particular product and wants to package them equally into 2501 boxes. How many units will each box contain?
Each box will contain 1 unit.
Explanation
To find the units in each box, divide the total units by the number of boxes.
2501/2501 = 1
Problem 4
A library has 2501 books and wants to organize them into 61 sections. How many books will be in each section?
There will be 41 books in each section.
Explanation
Dividing the books by the total sections, we will get the number of books in each section.
2501/61 = 41
Problem 5
There are 2501 chairs to be arranged in 41 rows. How many chairs will go in each row?
Each row will have 61 chairs.
Explanation
Divide the total chairs by the number of rows.
2501/41 = 61
FAQs on Factors of 2501
1.What are the factors of 2501?
2.Mention the prime factors of 2501.
3.Is 2501 a multiple of 41?
4.Mention the factor pairs of 2501?
5.What is the square of 2501?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 2501?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 2501 with numbers?
8.What role do numbers and Factors of 2501 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 2501 skills?
Important Glossaries for Factor of 2501
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2501 are 1, 41, 61, and 2501.
- Prime factors: The factors which are prime numbers. For example, 41 and 61 are prime factors of 2501.
- 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 2501 are (1, 2501) and (41, 61).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 2501 is 41 × 61.
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to the original number. For example, (41, 61) multiply to give 2501.
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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.
