119 LearnersLast updated on May 26th, 2025
Factors of 489
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 489, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 489?
The numbers that divide 489 evenly are known as factors of 489. A factor of 489 is a number that divides the number without remainder. The factors of 489 are 1, 3, 163, and 489. Negative factors of 489: -1, -3, -163, and -489. Prime factors of 489: 3 and 163. Prime factorization of 489: 3 × 163. The sum of factors of 489: 1 + 3 + 163 + 489 = 656
How to Find Factors of 489?
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 489. Identifying the numbers which are multiplied to get the number 489 is the multiplication method. Step 1: Multiply 489 by 1, 489 × 1 = 489. Step 2: Check for other numbers that give 489 after multiplying 3 × 163 = 489 Therefore, the positive factor pairs of 489 are: (1, 489) and (3, 163). All these factor pairs result in 489. 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 simple division methods - Step 1: Divide 489 by 1, 489 ÷ 1 = 489. Step 2: Continue dividing 489 by the numbers until the remainder becomes 0. 489 ÷ 1 = 489 489 ÷ 3 = 163 Therefore, the factors of 489 are: 1, 3, 163, 489.
Prime Factors and Prime Factorization
The factors can be found by dividing it with 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 489 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 489 ÷ 3 = 163 163 ÷ 163 = 1 The prime factors of 489 are 3 and 163. The prime factorization of 489 is: 3 × 163.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 489 is divided by 3 to get 163. Step 2: 163 is a prime number, so it cannot be divided further. So, the prime factorization of 489 is: 3 × 163. 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 489: (1, 489) and (3, 163). Negative factor pairs of 489: (-1, -489) and (-3, -163).
Common Mistakes and How to Avoid Them in Factors of 489
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 489, 1 and 489 is also a factor.
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 489 consist of -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 489/1.5 = 326, 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 489 are prime numbers. For example, 3 and 163 are the prime factors of 489, but it has other factors like 1, 489.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 489 as 3 × 163 and missing all the key factors.
Factors of 489 Examples
Problem 1
There are 3 teams and 489 points. How will they divide it equally?
They will get 163 points each.
Explanation
To divide the points equally, we need to divide the total points with the number of teams. 489/3 = 163
Problem 2
A billboard is rectangular, the height of the billboard is 3 meters and the total area is 489 square meters. Find the width?
163 meters.
Explanation
To find the width of the billboard, we use the formula, Area = height × width 489 = 3 × width To find the value of width, we need to shift 3 to the left side. 489/3 = width Width = 163.
Problem 3
There are 163 boxes and 489 items. How many items will be in each box?
Each box will have 3 items.
Explanation
To find the items in each box, divide the total items with the boxes. 489/163 = 3
Problem 4
In a class, there are 489 books, and 3 shelves. How many books are there on each shelf?
There are 163 books on each shelf.
Explanation
Dividing the books with the total shelves, we will get the number of books on each shelf. 489/3 = 163
FAQs on Factors of 489
1.What are the factors of 489?
2.Mention the prime factors of 489.
3.Is 489 a multiple of 3?
4.Mention the factor pairs of 489?
5.What is the square of 489?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 489?
7.What are some fun ways kids in Vietnam can practice Factors of 489 with numbers?
8.What role do numbers and Factors of 489 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 489 skills?
Important Glossaries for Factor of 489
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 489 are 1, 3, 163, and 489. Prime factors: The factors which are prime numbers. For example, 3 and 163 are prime factors of 489. 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 489 are (1, 489) and (3, 163). Divisibility: The quality of a number being divisible by another without leaving a remainder. For example, 489 is divisible by 3. Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 489 is 3 × 163.
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About BrightChamps in Vietnam
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.
