100 LearnersLast updated on May 26th, 2025
Factors of 3481
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 3481, how they are used in real life, and tips to learn them quickly.
What are the Factors of 3481?
The numbers that divide 3481 evenly are known as factors of 3481.
A factor of 3481 is a number that divides the number without a remainder.
The factors of 3481 are 1, 59, and 3481.
Negative factors of 3481: -1, -59, and -3481.
Prime factors of 3481: 59.
Prime factorization of 3481: 59 × 59.
The sum of factors of 3481: 1 + 59 + 3481 = 3541
How to Find Factors of 3481?
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 3481. Identifying the numbers that are multiplied to get the number 3481 is the multiplication method.
Step 1: Multiply 3481 by 1, 3481 × 1 = 3481.
Step 2: Check for other numbers that give 3481 after multiplying
59 × 59 = 3481
Therefore, the positive factor pairs of 3481 are: (1, 3481), (59, 59). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 3481 by 1, 3481 ÷ 1 = 3481.
Step 2: Continue dividing 3481 by the numbers until the remainder becomes 0.
3481 ÷ 1 = 3481
3481 ÷ 59 = 59
Therefore, the factors of 3481 are: 1, 59, and 3481.
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 the factor tree
Using Prime Factorization: In this process, prime factors of 3481 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3481 ÷ 59 = 59
59 ÷ 59 = 1
The prime factor of 3481 is 59.
The prime factorization of 3481 is: 59 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 3481 is divided by 59 to get 59.
Step 2: Now divide 59 by 59 to get 1. So, the prime factorization of 3481 is: 59 × 59.
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 3481: (1, 3481), (59, 59).
Negative factor pairs of 3481: (-1, -3481), (-59, -59).
Common Mistakes and How to Avoid Them in Factors of 3481
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 3481, 1 and 3481 are also factors.
Factors of 3481 Examples
Problem 1
There are 59 students and 3481 points to be distributed. How many points will each student receive?
Each student will receive 59 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of students.
3481/59 = 59
Problem 2
A square garden has an area of 3481 square meters. What is the length of one side?
59 meters.
Explanation
To find the length of one side of the square garden, we take the square root of the area.
√3481 = 59
Problem 3
There are 3481 marbles and 59 boxes. How many marbles will be in each box?
Each box will have 59 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
3481/59 = 59
Problem 4
The perimeter of a square is 236 meters. What is the length of one side?
59 meters.
Explanation
To find the length of one side of the square, we divide the perimeter by 4.
236/4 = 59
Problem 5
A large room is divided into smaller rooms, each with an area of 59 square meters. How many rooms can fit in a total area of 3481 square meters?
59 rooms.
Explanation
Divide the total area by the area of one room.
3481/59 = 59
FAQs on Factors of 3481
1.What are the factors of 3481?
2.Mention the prime factors of 3481.
3.Is 3481 a multiple of 59?
4.Mention the factor pairs of 3481?
5.What is the square of 59?
6.How can children in Qatar use numbers in everyday life to understand Factors of 3481?
7.What are some fun ways kids in Qatar can practice Factors of 3481 with numbers?
8.What role do numbers and Factors of 3481 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 3481 skills?
Important Glossaries for Factor of 3481
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3481 are 1, 59, and 3481.
- Prime factors: The factors which are prime numbers. For example, 59 is a prime factor of 3481.
- 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 3481 are (1, 3481) and (59, 59).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to a given number.
- Division method: A method to find factors by dividing the number by whole numbers to find which divisions result in a remainder of zero.
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About BrightChamps in Qatar
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.
