101 LearnersLast updated on May 26th, 2025
Factors of 978
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 978, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 978?
The numbers that divide 978 evenly are known as factors of 978.
A factor of 978 is a number that divides the number without remainder.
The factors of 978 are 1, 2, 3, 6, 163, 326, 489, and 978.
Negative factors of 978: -1, -2, -3, -6, -163, -326, -489, and -978.
Prime factors of 978: 2, 3, and 163.
Prime factorization of 978: 2 × 3 × 163.
The sum of factors of 978: 1 + 2 + 3 + 6 + 163 + 326 + 489 + 978 = 1968
How to Find Factors of 978?
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 978. Identifying the numbers which are multiplied to get the number 978 is the multiplication method.
Step 1: Multiply 978 by 1, 978 × 1 = 978.
Step 2: Check for other numbers that give 978 after multiplying:
2 × 489 = 978
3 × 326 = 978
6 × 163 = 978
Therefore, the positive factor pairs of 978 are: (1, 978), (2, 489), (3, 326), (6, 163).
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 a simple division method:
Step 1: Divide 978 by 1, 978 ÷ 1 = 978.
Step 2: Continue dividing 978 by the numbers until the remainder becomes 0.
978 ÷ 1 = 978
978 ÷ 2 = 489
978 ÷ 3 = 326
978 ÷ 6 = 163
Therefore, the factors of 978 are: 1, 2, 3, 6, 163, 326, 489, 978.
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 978 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
978 ÷ 2 = 489
489 ÷ 3 = 163
163 ÷ 163 = 1
The prime factors of 978 are 2, 3, and 163.
The prime factorization of 978 is: 2 × 3 × 163.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 978 is divided by 2 to get 489.
Step 2: Now divide 489 by 3 to get 163.
Step 3: Here, 163 is a prime number, so it cannot be divided further. So, the prime factorization of 978 is: 2 × 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 978: (1, 978), (2, 489), (3, 326), and (6, 163).
Negative factor pairs of 978: (-1, -978), (-2, -489), (-3, -326), and (-6, -163).
Common Mistakes and How to Avoid Them in Factors of 978
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 978, 1 and 978 are also factors.
Factors of 978 Examples
Problem 1
There are 6 teams and 978 fans. How will they distribute the fans equally among the teams?
Each team will have 163 fans.
Explanation
To distribute the fans equally, we need to divide the total fans by the number of teams.
978/6 = 163
Problem 2
A garden is rectangular, the length of the garden is 3 meters, and the total area is 978 square meters. Find the width.
326 meters.
Explanation
To find the width of the garden, we use the formula
Area = length × width
978 = 3 × width
To find the value of width, we need to shift 3 to the left side.
978/3 = width
Width = 326.
Problem 3
There are 163 plants and 978 seeds. How many seeds will be in each plant?
Each plant will have 6 seeds.
Explanation
To find the seeds in each plant, divide the total seeds by the number of plants.
978/163 = 6
Problem 4
In a library, there are 978 books, and 489 shelves. How many books are there on each shelf?
There are 2 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
978/489 = 2
Problem 5
978 students need to be placed in 326 rows. How many students will be in each row?
Each row will have 3 students.
Explanation
Divide total students with rows.
978/326 = 3
FAQs on Factors of 978
1.What are the factors of 978?
2.Mention the prime factors of 978.
3.Is 978 a multiple of 6?
4.Mention the factor pairs of 978?
5.What is the square of 978?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 978?
7.What are some fun ways kids in Indonesia can practice Factors of 978 with numbers?
8.What role do numbers and Factors of 978 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 978 skills?
Important Glossaries for Factor of 978
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 978 are 1, 2, 3, 6, 163, 326, 489, and 978.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 163 are prime factors of 978.
- 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 978 are (1, 978), (2, 489), etc.
- Prime factorization: Breaking down a number into the product of its prime factors. For example, 978 = 2 × 3 × 163.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in Indonesia
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.
