100 LearnersLast updated on May 26th, 2025
Factors of 2701
Factors are the numbers that divide any given number evenly without a 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 2701, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2701?
The numbers that divide 2701 evenly are known as factors of 2701.
A factor of 2701 is a number that divides the number without a remainder.
The factors of 2701 are 1, 37, 73, and 2701.
Negative factors of 2701: -1, -37, -73, and -2701.
Prime factors of 2701: 37 and 73.
Prime factorization of 2701: 37 × 73.
The sum of factors of 2701: 1 + 37 + 73 + 2701 = 2812
How to Find Factors of 2701?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 2701. Identifying the numbers which are multiplied to get the number 2701 is the multiplication method.
Step 1: Multiply 2701 by 1, 2701 × 1 = 2701.
Step 2: Check for other numbers that give 2701 after multiplying. 37 × 73 = 2701
Therefore, the positive factor pairs of 2701 are: (1, 2701), and (37, 73). All these factor pairs result in 2701. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 2701 by 1, 2701 ÷ 1 = 2701.
Step 2: Continue dividing 2701 by the numbers until the remainder becomes 0.
2701 ÷ 1 = 2701
2701 ÷ 37 = 73
2701 ÷ 73 = 37
Therefore, the factors of 2701 are: 1, 37, 73, 2701.
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 2701 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2701 ÷ 37 = 73
73 ÷ 73 = 1
The prime factors of 2701 are 37 and 73.
The prime factorization of 2701 is: 37 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, divide 2701 by 37 to get 73.
Step 2: Then divide 73 by 73 to get 1. Since 73 is the smallest prime number and cannot be divided anymore, the prime factorization of 2701 is: 37 × 73.
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 2701: (1, 2701), and (37, 73).
Negative factor pairs of 2701: (-1, -2701), and (-37, -73).
Common Mistakes and How to Avoid Them in Factors of 2701
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 2701, 1 and 2701 is also a factor.
Factors of 2701 Examples
Problem 1
A group has 37 members, and there are 2701 candies. How will they divide the candies equally?
They will get 73 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of members.
2701/37 = 73
Problem 2
A rectangular garden has a total area of 2701 square meters and one side is 73 meters long. Find the other side.
37 meters.
Explanation
To find the other side of the garden, we use the formula,
Area = length × width
2701 = 73 × width
To find the value of width, we need to shift 73 to the left side.
2701/73 = width
Width = 37.
Problem 3
There are 73 baskets and 2701 apples. How many apples will be in each basket?
Each basket will have 37 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
2701/73 = 37
Problem 4
In a school, there are 2701 students, and they need to form groups of 37. How many students will be there in each group?
There are 73 students in each group.
Explanation
Dividing the students by the total groups will give us the number of students in each group.
2701/37 = 73
Problem 5
2701 books need to be arranged in 37 shelves. How many books will go on each shelf?
Each of the shelves has 73 books.
Explanation
Divide total books by shelves.
2701/37 = 73
FAQs on Factors of 2701
1.What are the factors of 2701?
2.Mention the prime factors of 2701.
3.Is 2701 a multiple of 37?
4.Mention the factor pairs of 2701?
5.What is the square of 2701?
6.How can children in Australia use numbers in everyday life to understand Factors of 2701?
7.What are some fun ways kids in Australia can practice Factors of 2701 with numbers?
8.What role do numbers and Factors of 2701 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 2701 skills?
Important Glossaries for Factor of 2701
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2701 are 1, 37, 73, and 2701.
- Prime factors: The factors which are prime numbers. For example, 37 and 73 are prime factors of 2701.
- 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 2701 are (1, 2701) and (37, 73).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 2701 is 37 × 73.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 2701 are -1, -37, -73, and -2701.
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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
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