131 LearnersLast updated on May 28th, 2025
Factors of 1581
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 1581, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1581?
The numbers that divide 1581 evenly are known as factors of 1581.
A factor of 1581 is a number that divides the number without a remainder.
The factors of 1581 are 1, 3, 9, 11, 27, 33, 99, 143, 297, 473, 527, and 1581.
Negative factors of 1581: -1, -3, -9, -11, -27, -33, -99, -143, -297, -473, -527, and -1581.
Prime factors of 1581: 3 and 11.
Prime factorization of 1581: 32 × 11 × 13.
The sum of factors of 1581: 1 + 3 + 9 + 11 + 27 + 33 + 99 + 143 + 297 + 473 + 527 + 1581 = 3204
How to Find Factors of 1581?
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 1581. Identifying the numbers which are multiplied to get the number 1581 is the multiplication method.
Step 1: Multiply 1581 by 1, 1581 × 1 = 1581.
Step 2: Check for other numbers that give 1581 after multiplying
3 × 527 = 1581
9 × 177 = 1581
11 × 143 = 1581
27 × 59 = 1581
33 × 47 = 1581
Therefore, the positive factor pairs of 1581 are: (1, 1581), (3, 527), (9, 177), (11, 143), (27, 59), (33, 47).
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1581 by 1, 1581 ÷ 1 = 1581.
Step 2: Continue dividing 1581 by the numbers until the remainder becomes 0.
1581 ÷ 1 = 1581
1581 ÷ 3 = 527
1581 ÷ 9 = 177
1581 ÷ 11 = 143
1581 ÷ 27 = 59
1581 ÷ 33 = 47
Therefore, the factors of 1581 are: 1, 3, 9, 11, 27, 33, 47, 59, 143, 177, 527, and 1581.
Prime Factors and Prime Factorization
The factors can be found by dividing them with a prime number. 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 1581 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1581 ÷ 3 = 527
527 ÷ 11 = 47
47 ÷ 47 = 1
The prime factors of 1581 are 3, 11, and 47.
The prime factorization of 1581 is: 3 × 11 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1581 is divided by 3 to get 527.
Step 2: Now divide 527 by 11 to get 47.
Step 3: Here, 47 is a prime number that cannot be divided anymore.
So, the prime factorization of 1581 is: 3 × 11 × 47.
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 1581: (1, 1581), (3, 527), (9, 177), (11, 143), (27, 59), (33, 47).
Negative factor pairs of 1581: (-1, -1581), (-3, -527), (-9, -177), (-11, -143), (-27, -59), (-33, -47).
Common Mistakes and How to Avoid Them in Factors of 1581
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 1581, 1 and 1581 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1581 include -1, -3, -9, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 1581/1.5 = 1054, 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 1581 are prime numbers. 3 and 11 are the prime factors of 1581, but it has other factors like 9, 33.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1581 as 3 × 11 × 47 and missing all the key factors.
Factors of 1581 Examples
Problem 1
There are 11 students and 1581 candies. How will they divide it equally?
They will get 143 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
1581/11 = 143
Problem 2
A garden is rectangular, the length of the garden is 33 meters, and the total area is 1581 square meters. Find the width?
47 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1581 = 33 × width
To find the value of width, we need to shift 33 to the left side.
1581/33 = width
Width = 47.
Problem 3
There are 27 boxes and 1581 apples. How many apples will be in each box?
Each box will have 59 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
1581/27 = 59
Problem 4
In a class, there are 1581 students, and 3 groups. How many students are there in each group?
There are 527 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1581/3 = 527
Problem 5
1581 books need to be arranged in 9 shelves. How many books will go on each shelf?
Each of the shelves has 177 books.
Explanation
Divide total books by shelves.
1581/9 = 177
FAQs on Factors of 1581
1.What are the factors of 1581?
2.Mention the prime factors of 1581.
3.Is 1581 a multiple of 9?
4.Mention the factor pairs of 1581?
5.What is the square of 1581?
6.How can children in United States use numbers in everyday life to understand Factors of 1581?
7.What are some fun ways kids in United States can practice Factors of 1581 with numbers?
8.What role do numbers and Factors of 1581 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 1581 skills?
Important Glossaries for Factor of 1581
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1581 are 1, 3, 9, 11, etc.
- Prime factors: The factors which are prime numbers. For example, 3 and 11 are prime factors of 1581.
- 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 1581 are (1, 1581), (3, 527), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1581 is 3 × 11 × 47.
- Negative factors: Factors that are negative numbers. For example, -1, -3, -9, etc., are negative factors of 1581.
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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.
