121 LearnersLast updated on May 26th, 2025
Factors of 4489
Factors are numbers that divide a 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 4489, how they are used in real life, and tips to learn them quickly.
What are the Factors of 4489?
The numbers that divide 4489 evenly are known as factors of 4489.
A factor of 4489 is a number that divides the number without a remainder.
The factors of 4489 are 1, 67, and 4489.
Negative factors of 4489: -1, -67, and -4489.
Prime factors of 4489: 67. Prime factorization of 4489: 67 × 67.
The sum of factors of 4489: 1 + 67 + 4489 = 4557
How to Find Factors of 4489?
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 4489. Identifying the numbers which are multiplied to get the number 4489 is the multiplication method.
Step 1: Multiply 4489 by 1, 4489 × 1 = 4489.
Step 2: Check for other numbers that give 4489 after multiplying.
67 × 67 = 4489
Therefore, the positive factor pairs of 4489 are: (1, 4489) and (67, 67).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 4489 by 1, 4489 ÷ 1 = 4489.
Step 2: Continue dividing 4489 by the numbers until the remainder becomes 0.
4489 ÷ 1 = 4489
4489 ÷ 67 = 67
Therefore, the factors of 4489 are: 1, 67, and 4489.
Prime Factors and Prime Factorization
The factors can be found by dividing by prime numbers. 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 4489 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4489 ÷ 67 = 67
67 ÷ 67 = 1
The prime factor of 4489 is 67.
The prime factorization of 4489 is: 67 × 67.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 4489 is divided by 67 to get 67.
Step 2: Divide 67 by 67 to get 1. Here, 67 is a prime number, so it cannot be divided further. So, the prime factorization of 4489 is: 67 × 67.
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 4489: (1, 4489) and (67, 67).
Negative factor pairs of 4489: (-1, -4489) and (-67, -67).
Common Mistakes and How to Avoid Them in Factors of 4489
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 as 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 4489, 1 and 4489 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 4489 consist of -1, -67, etc.
Mistake 3
Including Fractions
Children might sometimes mistakenly think fractions can be factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 4489/1.5 = 2992.666..., and it 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 4489 are prime numbers. For example, 67 is a prime factor of 4489, but it has other factors like 1 and 4489.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing the wrong factors.
For example, not breaking 4489 as 67 × 67 and missing key factors.
Factors of 4489 Examples
Problem 1
There are 67 rows in a theater and 4489 seats. How many seats are in each row?
There are 67 seats in each row.
Explanation
To find the number of seats in each row, divide the total seats by the number of rows.
4489/67 = 67
Problem 2
A square garden has an area of 4489 square meters. What is the length of one side?
67 meters.
Explanation
To find the length of one side of the square garden, we use the formula, Area = side × side
4489 = side × side
The square root of 4489 is 67, so the length of one side is 67 meters.
Problem 3
A factory packs 4489 items in boxes, with each box containing 67 items. How many boxes are used?
67 boxes.
Explanation
To find the number of boxes used, divide the total items by the number of items per box.
4489/67 = 67
FAQs on Factors of 4489
1.What are the factors of 4489?
2.Mention the prime factors of 4489.
3.Is 4489 a perfect square?
4.Mention the factor pairs of 4489?
5.What is the square root of 4489?
6.How can children in United States use numbers in everyday life to understand Factors of 4489?
7.What are some fun ways kids in United States can practice Factors of 4489 with numbers?
8.What role do numbers and Factors of 4489 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 4489 skills?
Important Glossary for Factors of 4489
- Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4489 are 1, 67, and 4489.
- Prime factors: Factors that are prime numbers. For example, 67 is a prime factor of 4489.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pairs of 4489 are (1, 4489) and (67, 67).
- Perfect square: A number that is the square of an integer. For example, 4489 is a perfect square because it is 67 × 67.
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 4489 is 67 × 67.
Explore More numbers
About BrightChamps in United States
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.
