Last updated on May 28th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 11 students and 1581 candies. How will they divide it equally?
They will get 143 candies each.
To divide the candies equally, we need to divide the total candies by the number of students.
1581/11 = 143
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.
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.
There are 27 boxes and 1581 apples. How many apples will be in each box?
Each box will have 59 apples.
To find the apples in each box, divide the total apples by the boxes.
1581/27 = 59
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.
Dividing the students by the total groups, we will get the number of students in each group.
1581/3 = 527
1581 books need to be arranged in 9 shelves. How many books will go on each shelf?
Each of the shelves has 177 books.
Divide total books by shelves.
1581/9 = 177
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.
: She loves to read number jokes and games.