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 1589, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1589 evenly are known as factors of 1589.
A factor of 1589 is a number that divides the number without remainder.
The factors of 1589 are 1, 1589.
Negative factors of 1589: -1, -1589.
Prime factors of 1589: 1589 itself, as it is a prime number.
Prime factorization of 1589: 1 × 1589.
The sum of factors of 1589: 1 + 1589 = 1590
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 1589. Identifying the numbers which are multiplied to get the number 1589 is the multiplication method.
Step 1: Multiply 1589 by 1, 1589 × 1 = 1589.
Since 1589 is a prime number, there are no other number pairs that multiply to give 1589 besides 1 and 1589.
Therefore, the positive factor pair of 1589 is: (1, 1589).
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 the simple division method -
Step 1: Divide 1589 by 1, 1589 ÷ 1 = 1589.
Step 2: Since 1589 is a prime number, no other whole number divides it evenly besides 1 and 1589.
Therefore, the factors of 1589 are: 1, 1589.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1589 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 1589 is a prime number, its prime factorization is simply:
1 × 1589.
The factor tree is a graphical representation of breaking down any number into prime factors.
Since 1589 is a prime number, it cannot be broken down further other than by 1 and itself.
So, the prime factorization of 1589 is: 1 × 1589.
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 pair of 1589: (1, 1589).
Negative factor pair of 1589: (-1, -1589).
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 1589 apples and 1 basket. How will they be arranged?
All 1589 apples will be arranged in 1 basket.
Since there is only 1 basket, all the apples will go into it. 1589/1 = 1589
A road is 1589 meters long. If each section is 1 meter, how many sections are there?
There are 1589 sections.
To find the number of sections, divide the total length by the length of each section.
1589/1 = 1589
A library has 1589 books and 1 shelf. How many books will be in each shelf?
All 1589 books will be in 1 shelf.
To find the number of books per shelf, divide the total number of books by the number of shelves.
1589/1 = 1589
A class has 1589 students and 1589 chairs. How many students will sit on each chair?
Each chair will have 1 student.
Dividing the number of students by the number of chairs, we get the number of students per chair.
1589/1589 = 1
1589 packets need to be arranged in 1 storage box. How many packets will go in the box?
All 1589 packets will go in 1 storage box.
Divide total packets by the number of boxes.
1589/1 = 1589
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.