Last updated on May 29th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 2 large boxes and 1198 marbles. How will they be divided equally?
They will get 599 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of boxes.
1198/2 = 599
A rectangular garden has a length of 599 meters, and the total area is 1198 square meters. Find the width?
2 meters.
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.
There are 1198 candies and 599 bags. How many candies will be in each bag?
Each bag will have 2 candies.
To find the candies in each bag, divide the total candies by the bags.
1198/599 = 2
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.
Dividing the participants by the total rooms, we will get the number of participants in each room.
1198/2 = 599
1198 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 599 books.
Divide total books by shelves.
1198/2 = 599
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.
: She loves to read number jokes and games.