116 LearnersLast updated on May 26th, 2025
Factors of 6889
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 6889, how they are used in real life, and tips to learn them quickly.
What are the Factors of 6889?
The numbers that divide 6889 evenly are known as factors of 6889.
A factor of 6889 is a number that divides the number without remainder.
The factors of 6889 are 1, 83, and 6889.
Negative factors of 6889: -1, -83, and -6889.
Prime factors of 6889: 83.
Prime factorization of 6889: 83².
The sum of factors of 6889: 1 + 83 + 6889 = 6973
How to Find Factors of 6889?
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 6889. Identifying the numbers which are multiplied to get the number 6889 is the multiplication method.
Step 1: Multiply 6889 by 1, 6889 × 1 = 6889.
Step 2: Check for other numbers that give 6889 after multiplying 83 × 83 = 6889
Therefore, the positive factor pairs of 6889 are: (1, 6889) and (83, 83).
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 a whole number as factors. Factors can be calculated by following simple division method
Step 1: Divide 6889 by 1, 6889 ÷ 1 = 6889.
Step 2: Continue dividing 6889 by the numbers until the remainder becomes 0.
6889 ÷ 1 = 6889
6889 ÷ 83 = 83
Therefore, the factors of 6889 are: 1, 83, and 6889.
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 6889 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
6889 ÷ 83 = 83
83 ÷ 83 = 1
The prime factors of 6889 are 83.
The prime factorization of 6889 is: 83².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 6889 is divided by 83 to get 83.
Step 2: Now divide 83 by 83 to get 1. So, the prime factorization of 6889 is: 83².
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 6889: (1, 6889) and (83, 83).
Negative factor pairs of 6889: (-1, -6889) and (-83, -83).
Common Mistakes and How to Avoid Them in Factors of 6889
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 word. Always remember to include 1 and the number itself.
For example, in factors of 6889, 1 and 6889 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 6889 consist of -1, -83, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor is incorrect, because 6889/1.5 is not 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 6889 are prime numbers. However, 1 and 6889 are also factors of 6889, aside from the prime factor 83.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing 6889 as 83² and missing key factors.
Factors of 6889 Examples
Problem 1
There are 83 students and 6889 books. How will they divide them equally?
They will get 83 books each.
Explanation
To divide the books equally, we need to divide the total books by the number of students.
6889/83 = 83
Problem 2
A square garden has an area of 6889 square meters. What is the length of one side?
83 meters.
Explanation
To find the side length of the square garden, we use the formula,
Area = side × side
6889 = side²
To find the value of the side, we take the square root. √6889 = 83
Problem 3
There are 6889 apples and 1 tree. How many apples are on the tree?
All 6889 apples are on the tree.
Explanation
Since there is only 1 tree, all apples will be on this single tree.
6889/1 = 6889
Problem 4
In a warehouse, there are 6889 boxes, and 83 sections. How many boxes are there in each section?
There are 83 boxes in each section.
Explanation
Dividing the boxes by the total sections, we will get the number of boxes in each section.
6889/83 = 83
Problem 5
6889 chairs need to be arranged in 83 rows. How many chairs will go in each row?
Each row will have 83 chairs.
Explanation
Divide total chairs by rows.
6889/83 = 83
FAQs on Factors of 6889
1.What are the factors of 6889?
2.Mention the prime factors of 6889.
3.Is 6889 a perfect square?
4.Mention the factor pairs of 6889.
5.What is the square root of 6889?
6.How can children in Qatar use numbers in everyday life to understand Factors of 6889?
7.What are some fun ways kids in Qatar can practice Factors of 6889 with numbers?
8.What role do numbers and Factors of 6889 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 6889 skills?
Important Glossaries for Factor of 6889
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 6889 are 1, 83, and 6889.
- Prime factors: The factors which are prime numbers. For example, 83 is the prime factor of 6889.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 6889 are (1, 6889) and (83, 83).
- Perfect square: A number that is the square of an integer. For example, 6889 is a perfect square as it is 83².
- Square root: The number which, when multiplied by itself, gives the original number. For example, the square root of 6889 is 83.
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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.
