120 LearnersLast updated on May 26th, 2025
Factors of 389
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 389, how they are used in real life, and tips to learn them quickly.
What are the Factors of 389?
The numbers that divide 389 evenly are known as factors of 389. A factor of 389 is a number that divides the number without remainder.
The factors of 389 are 1 and 389.
Negative factors of 389: -1 and -389.
Prime factors of 389: 389.
Prime factorization of 389: 389 is a prime number, so it cannot be factored further.
The sum of factors of 389: 1 + 389 = 390
How to Find Factors of 389?
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 389. Since 389 is a prime number, it only has trivial multiplication pairs.
Step 1: Multiply 389 by 1, 389 × 1 = 389. Therefore, the positive factor pairs of 389 are: (1, 389). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 389 by 1, 389 ÷ 1 = 389.
Step 2: Check divisibility by other numbers up to the square root of 389 (~19.7). Since 389 is a prime number, it is not divisible by any other whole numbers except itself and 1. Therefore, the factors of 389 are: 1 and 389.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. Since 389 is a prime number, it cannot be broken down into smaller prime factors.
Using Prime Factorization: In this process, we divide 389 by itself as it is a prime number, leaving no further prime factors.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 389 is a prime number, it cannot be broken down further. So, the prime factorization of 389 is: 389.
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 389: (1, 389).
Negative factor pairs of 389: (-1, -389).
Common Mistakes and How to Avoid Them in Factors of 389
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 389, 1 and 389 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have included negative factors.
For example, the factors of 389 consist of -1 and -389.
Mistake 3
Including the Fraction
Children might sometimes mistakenly consider fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 389/1.5 ≠ 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 that 389 has more factors like 2 or 3, which it does not have.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing that 389 is a prime number and trying to break it into smaller factors.
Factors of 389 Examples
Problem 1
There are 389 trees in a park, and they are to be grouped equally into 1 group. How many trees will be in the group?
The group will have 389 trees.
Explanation
Since there is only one group, all trees will be in that group.
Problem 2
A classroom has 389 chairs and needs to be divided equally into 389 rows. How many chairs will be in each row?
1 chair.
Explanation
To divide the chairs equally, we divide the total chairs by the number of rows.
389/389 = 1
Problem 3
A library has 389 books. If each shelf holds 1 book, how many shelves are needed?
389 shelves.
Explanation
To find the number of shelves needed, divide the total books by the number of books per shelf.
389/1 = 389
Problem 4
A theater has 1 entrance with 389 seats. How many seats per entrance?
389 seats.
Explanation
Since there is only one entrance, all seats are accounted for under that entrance.
Problem 5
389 marbles are to be distributed equally among 1 container. How many marbles will be in the container?
389 marbles.
Explanation
Since there is only one container, all marbles will be in that container.
FAQs on Factors of 389
1.What are the factors of 389?
2.Mention the prime factors of 389.
3.Is 389 a multiple of 2?
4.Mention the factor pairs of 389.
5.What is the square of 389?
6.How can children in Qatar use numbers in everyday life to understand Factors of 389?
7.What are some fun ways kids in Qatar can practice Factors of 389 with numbers?
8.What role do numbers and Factors of 389 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 389 skills?
Important Glossaries for Factors of 389
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 389 are 1 and 389.
- Prime factors: A factor which is a prime number. For example, 389 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 389 is (1, 389).
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 389 is a prime number.
- Negative Factors: The negative numbers that divide the given number without leaving a remainder. For example, -1 and -389 are negative factors of 389.
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About BrightChamps in Qatar
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.
