119 LearnersLast updated on May 26th, 2025
Factors of 988
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 988, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 988?
The numbers that divide 988 evenly are known as factors of 988.
A factor of 988 is a number that divides the number without remainder.
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, and 988.
Negative factors of 988: -1, -2, -4, -13, -19, -26, -38, -52, -76, -247, -494, and -988.
Prime factors of 988: 2, 13, and 19.
Prime factorization of 988: 2² × 13 × 19.
The sum of factors of 988: 1 + 2 + 4 + 13 + 19 + 26 + 38 + 52 + 76 + 247 + 494 + 988 = 1960
How to Find Factors of 988?
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 988. Identifying the numbers which are multiplied to get the number 988 is the multiplication method.
Step 1: Multiply 988 by 1, 988 × 1 = 988.
Step 2: Check for other numbers that give 988 after multiplying
2 × 494 = 988
4 × 247 = 988
13 × 76 = 988
19 × 52 = 988
Therefore, the positive factor pairs of 988 are: (1, 988), (2, 494), (4, 247), (13, 76), (19, 52).
All these factor pairs result in 988.
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 the simple division method
Step 1: Divide 988 by 1, 988 ÷ 1 = 988.
Step 2: Continue dividing 988 by the numbers until the remainder becomes 0.
988 ÷ 1 = 988
988 ÷ 2 = 494
988 ÷ 4 = 247
988 ÷ 13 = 76
988 ÷ 19 = 52
Therefore, the factors of 988 are: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.
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 988 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
988 ÷ 2 = 494
494 ÷ 2 = 247
247 ÷ 13 = 19
19 ÷ 19 = 1
The prime factors of 988 are 2, 13, and 19.
The prime factorization of 988 is: 2² × 13 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 988 is divided by 2 to get 494.
Step 2: Now divide 494 by 2 to get 247.
Step 3: Then divide 247 by 13 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 988 is: 2² × 13 × 19.
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 988: (1, 988), (2, 494), (4, 247), (13, 76), and (19, 52).
Negative factor pairs of 988: (-1, -988), (-2, -494), (-4, -247), (-13, -76), and (-19, -52).
Common Mistakes and How to Avoid Them in Factors of 988
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 988, 1 and 988 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 988 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fraction also as a fraction. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 988/1.5 = 658.666, 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 988 are prime numbers.
For example, 2, 13, and 19 are the prime factors of 988, but it has other factors like 4, 26, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 988 as 2² × 13 × 19 and missing all the key factors.
Factors of 988 Examples
Problem 1
There are 19 friends and 988 apples. How will they divide it equally?
They will get 52 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
988/19 = 52
Problem 2
A garden is rectangular, the length of the garden is 13 meters and the total area is 988 square meters. Find the width?
76 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
988 = 13 × width
To find the value of width, we need to shift 13 to the left side.
988/13 = width
Width = 76.
Problem 3
There are 4 trucks and 988 boxes. How many boxes will be in each truck?
Each truck will have 247 boxes.
Explanation
To find the boxes in each truck, divide the total boxes with the trucks.
988/4 = 247
Problem 4
In a company, there are 494 employees, and 2 divisions. How many employees are there in each division?
There are 247 employees in each division.
Explanation
Dividing the employees with the total divisions, we will get the number of employees in each division.
494/2 = 247
Problem 5
988 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 76 books.
Explanation
Divide total books with shelves.
988/13 = 76
FAQs on Factors of 988
1.What are the factors of 988?
2.Mention the prime factors of 988.
3.Is 988 a multiple of 19?
4.Mention the factor pairs of 988?
5.What is the square of 988?
6.How can children in Qatar use numbers in everyday life to understand Factors of 988?
7.What are some fun ways kids in Qatar can practice Factors of 988 with numbers?
8.What role do numbers and Factors of 988 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 988 skills?
Important Glossaries for Factor of 988
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, and 988.
- Prime factors: The factors which are prime numbers. For example, 2, 13, and 19 are prime factors of 988.
- 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 988 are (1, 988), (2, 494), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 2² × 13 × 19 is the prime factorization of 988.
- Multiples: A number that can be divided by another number without leaving a remainder. For example, 988 is a multiple of 2.
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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.
