101 LearnersLast updated on May 26th, 2025
Factors of 1998
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 1998, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1998?
The numbers that divide 1998 evenly are known as factors of 1998.
A factor of 1998 is a number that divides the number without remainder.
The factors of 1998 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666, 999, and 1998.
Negative factors of 1998: -1, -2, -3, -6, -9, -18, -37, -74, -111, -222, -333, -666, -999, and -1998.
Prime factors of 1998: 2, 3, and 37.
Prime factorization of 1998: 2 × 33 × 37.
The sum of factors of 1998: 1 + 2 + 3 + 6 + 9 + 18 + 37 + 74 + 111 + 222 + 333 + 666 + 999 + 1998 = 4481
How to Find Factors of 1998?
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 1998. Identifying the numbers which are multiplied to get the number 1998 is the multiplication method.
Step 1: Multiply 1998 by 1, 1998 × 1 = 1998.
Step 2: Check for other numbers that give 1998 after multiplying
2 × 999 = 1998
3 × 666 = 1998
6 × 333 = 1998
9 × 222 = 1998
18 × 111 = 1998
37 × 54 = 1998
Therefore, the positive factor pairs of 1998 are: (1, 1998), (2, 999), (3, 666), (6, 333), (9, 222), (18, 111), and (37, 54).
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 results as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1998 by 1, 1998 ÷ 1 = 1998.
Step 2: Continue dividing 1998 by the numbers until the remainder becomes 0.
1998 ÷ 1 = 1998
1998 ÷ 2 = 999
1998 ÷ 3 = 666
1998 ÷ 6 = 333
1998 ÷ 9 = 222
1998 ÷ 18 = 111
1998 ÷ 37 = 54
Therefore, the factors of 1998 are: 1, 2, 3, 6, 9, 18, 37, 54, 111, 222, 333, 666, 999, 1998.
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 1998 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1998 ÷ 2 = 999
999 ÷ 3 = 333
333 ÷ 3 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
The prime factors of 1998 are 2, 3, and 37.
The prime factorization of 1998 is: 2 × 33 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1998 is divided by 2 to get 999.
Step 2: Now divide 999 by 3 to get 333.
Step 3: Then divide 333 by 3 to get 111.
Step 4: Divide 111 by 3 to get 37. Here, 37 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1998 is: 2 × 33 × 37.
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 1998: (1, 1998), (2, 999), (3, 666), (6, 333), (9, 222), (18, 111), and (37, 54).
Negative factor pairs of 1998: (-1, -1998), (-2, -999), (-3, -666), (-6, -333), (-9, -222), (-18, -111), and (-37, -54).
Common Mistakes and How to Avoid Them in Factors of 1998
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 1998, 1 and 1998 are also factors.
Factors of 1998 Examples
Problem 1
There are 18 friends and 1998 candies. How will they divide it equally?
They will get 111 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1998/18 = 111
Problem 2
A field is rectangular, the length of the field is 222 meters, and the total area is 1998 square meters. Find the width?
9 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1998 = 222 × width
To find the value of width, we need to shift 222 to the left side.
1998/222 = width
Width = 9.
Problem 3
There are 333 gift bags and 1998 chocolates. How many chocolates will be in each bag?
Each bag will have 6 chocolates.
Explanation
To find the chocolates in each bag, divide the total chocolates with the bags.
1998/333 = 6
Problem 4
In a class, there are 1998 students, and 18 groups. How many students are there in each group?
There are 111 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1998/18 = 111
Problem 5
1998 books need to be arranged in 54 shelves. How many books will go on each shelf?
Each shelf will have 37 books.
Explanation
Divide total books with shelves.
1998/54 = 37
FAQs on Factors of 1998
1.What are the factors of 1998?
2.Mention the prime factors of 1998.
3.Is 1998 a multiple of 9?
4.Mention the factor pairs of 1998?
5.What is the square of 1998?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1998?
7.What are some fun ways kids in Vietnam can practice Factors of 1998 with numbers?
8.What role do numbers and Factors of 1998 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1998 skills?
Important Glossaries for Factor of 1998
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1998 are 1, 2, 3, 6, 9, 18, 37, 54, 111, 222, 333, 666, 999, and 1998.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 37 are prime factors of 1998.
- 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 1998 are (1, 1998), (2, 999), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1998 is 2 × 33 × 37.
- Divisibility: The capacity of a number to be divided by another number without a remainder. For example, 1998 is divisible by 2, 3, and 37.
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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.
