Last updated on May 28th, 2025
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 1591, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1591 evenly are known as factors of 1591.
A factor of 1591 is a number that divides the number without remainder.
The factors of 1591 are 1, 11, 23, 69, 121, 253, 1591.
Negative factors of 1591: -1, -11, -23, -69, -121, -253, -1591.
Prime factors of 1591: 11 and 23.
Prime factorization of 1591: 11 × 23.
The sum of factors of 1591: 1 + 11 + 23 + 69 + 121 + 253 + 1591 = 2069
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 1591. Identifying the numbers that are multiplied to get the number 1591 is the multiplication method.
Step 1: Multiply 1591 by 1, 1591 × 1 = 1591.
Step 2: Check for other numbers that give 1591 after multiplying
11 × 23 = 253
Therefore, the positive factor pairs of 1591 are: (1, 1591), (11, 23), (23, 69), (69, 23), (121, 13), (253, 6), (1591, 1).
For every positive factor, there is a negative factor.
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 1591 by 1, 1591 ÷ 1 = 1591.
Step 2: Continue dividing 1591 by the numbers until the remainder becomes 0.
1591 ÷ 1 = 1591
1591 ÷ 11 = 23
1591 ÷ 23 = 69
1591 ÷ 69 = 23
1591 ÷ 121 = 13
1591 ÷ 253 = 6
Therefore, the factors of 1591 are: 1, 11, 23, 69, 121, 253, 1591.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1591 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1591 ÷ 11 = 145
145 ÷ 11 = 13
The prime factors of 1591 are 11 and 23.
The prime factorization of 1591 is: 11 × 23.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1591 is divided by 11 to get 145.
Step 2: Now divide 145 by 11 to get 13.
Here, 13 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1591 is: 11 × 23.
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 1591: (1, 1591), (11, 23).
Negative factor pairs of 1591: (-1, -1591), (-11, -23).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A workshop has 1591 screws and needs to distribute them equally among 11 boxes. How many screws will each box get?
Each box will get 145 screws.
To distribute the screws equally, we divide the total screws by the number of boxes.
1591/11 = 145
A rectangular garden has an area of 1591 square meters with a width of 23 meters. What is the length of the garden?
69 meters.
To find the length of the garden, we use the formula,
Area = length × width
1591 = length × 23
To find the value of the length, divide 1591 by 23.
1591/23 = 69
There are 253 books to be placed into 11 shelves. How many books will be on each shelf?
Each shelf will have 23 books.
To find the books on each shelf, divide the total books by the shelves.
253/11 = 23
In a sports club, there are 1591 members and 23 different groups. How many members are there in each group?
There are 69 members in each group.
Dividing the members by the total groups, we get the number of members in each group.
1591/23 = 69
1591 apples need to be packed into 121 boxes. How many apples will go into each box?
Each box will have 13 apples.
Divide the total apples by the number of boxes.
1591/121 = 13
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.