137 LearnersLast updated on May 28th, 2025
Factors of 1589
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.
What are the Factors of 1589?
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
How to Find Factors of 1589?
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 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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
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
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
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 1589, 1 and 1589 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1589 include -1 and -1589.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1589/1.5 does not result in 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 a number are prime numbers. In the case of 1589, it is itself a prime number, so it only has two factors, 1 and 1589.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not recognizing that 1589 is a prime number and looking for additional factors.
Factors of 1589 Examples
Problem 1
There are 1589 apples and 1 basket. How will they be arranged?
All 1589 apples will be arranged in 1 basket.
Explanation
Since there is only 1 basket, all the apples will go into it. 1589/1 = 1589
Problem 2
A road is 1589 meters long. If each section is 1 meter, how many sections are there?
There are 1589 sections.
Explanation
To find the number of sections, divide the total length by the length of each section.
1589/1 = 1589
Problem 3
A library has 1589 books and 1 shelf. How many books will be in each shelf?
All 1589 books will be in 1 shelf.
Explanation
To find the number of books per shelf, divide the total number of books by the number of shelves.
1589/1 = 1589
Problem 4
A class has 1589 students and 1589 chairs. How many students will sit on each chair?
Each chair will have 1 student.
Explanation
Dividing the number of students by the number of chairs, we get the number of students per chair.
1589/1589 = 1
Problem 5
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.
Explanation
Divide total packets by the number of boxes.
1589/1 = 1589
FAQs on Factors of 1589
1.What are the factors of 1589?
2.Mention the prime factors of 1589.
3.Is 1589 a prime number?
4.Mention the factor pair of 1589?
5.What is the square of 1589?
6.How can children in Canada use numbers in everyday life to understand Factors of 1589?
7.What are some fun ways kids in Canada can practice Factors of 1589 with numbers?
8.What role do numbers and Factors of 1589 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1589 skills?
Important Glossaries for Factors of 1589
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1589 are 1 and 1589.
- Prime factors: The factors which are prime numbers. For 1589, it is a prime number itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 1589 is (1, 1589).
- Prime number: A number that has only two distinct positive divisors: 1 and itself.
- Prime factorization: The expression of a number as the product of its prime factors. For 1589, it is simply 1 × 1589.
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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.
