133 LearnersLast updated on May 29th, 2025
Factors of 1198
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 1198, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1198?
The numbers that divide 1198 evenly are known as factors of 1198.
A factor of 1198 is a number that divides the number without a remainder.
The factors of 1198 are 1, 2, 599, and 1198.
Negative factors of 1198: -1, -2, -599, and -1198.
Prime factors of 1198: 2 and 599.
Prime factorization of 1198: 2 × 599.
The sum of factors of 1198: 1 + 2 + 599 + 1198 = 1800
How to Find Factors of 1198?
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 1198. Identifying the numbers which are multiplied to get the number 1198 is the multiplication method.
Step 1: Multiply 1198 by 1, 1198 × 1 = 1198.
Step 2: Check for other numbers that give 1198 after multiplying
2 × 599 = 1198
Therefore, the positive factor pairs of 1198 are: (1, 1198) and (2, 599). All these factor pairs result in 1198.
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 1198 by 1, 1198 ÷ 1 = 1198.
Step 2: Continue dividing 1198 by the numbers until the remainder becomes 0.
1198 ÷ 1 = 1198
1198 ÷ 2 = 599
Therefore, the factors of 1198 are: 1, 2, 599, and 1198.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1198 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1198 ÷ 2 = 599
599 ÷ 599 = 1
The prime factors of 1198 are 2 and 599.
The prime factorization of 1198 is: 2 × 599.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1198 is divided by 2 to get 599. Here, 599 is a prime number and cannot be divided further. So, the prime factorization of 1198 is: 2 × 599.
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 1198: (1, 1198) and (2, 599).
Negative factor pairs of 1198: (-1, -1198) and (-2, -599).
Common Mistakes and How to Avoid Them in Factors of 1198
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 1198, 1 and 1198 are also factors.
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 1198 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1198/1.5 = 798.666..., 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 1198 are prime numbers. For example, 2 and 599 are the prime factors of 1198, but it has other factors like 1, 1198.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1198 as 2 × 599 and missing all the key factors.
Factors of 1198 Examples
Problem 1
There are 2 large boxes and 1198 marbles. How will they be divided equally?
They will get 599 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of boxes.
1198/2 = 599
Problem 2
A rectangular garden has a length of 599 meters, and the total area is 1198 square meters. Find the width?
2 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1198 = 599 × width
To find the value of width, we need to shift 599 to the left side.
1198/599 = width
Width = 2.
Problem 3
There are 1198 candies and 599 bags. How many candies will be in each bag?
Each bag will have 2 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
1198/599 = 2
Problem 4
In a conference, there are 1198 participants, and 2 rooms. How many participants are there in each room?
There are 599 participants in each room.
Explanation
Dividing the participants by the total rooms, we will get the number of participants in each room.
1198/2 = 599
Problem 5
1198 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 599 books.
Explanation
Divide total books by shelves.
1198/2 = 599
FAQs on Factors of 1198
1.What are the factors of 1198?
2.Mention the prime factors of 1198.
3.Is 1198 a multiple of 2?
4.Mention the factor pairs of 1198?
5.What is the square of 1198?
Important Glossaries for Factors of 1198
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1198 are 1, 2, 599, and 1198.
- Prime factors: The factors which are prime numbers. For example, 2 and 599 are prime factors of 1198.
- 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 1198 are (1, 1198) and (2, 599).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1198 is 2 × 599.
- Negative factors: Factors that include negative numbers. For example, the negative factors of 1198 are -1, -2, -599, and -1198.
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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.
