Last updated on May 26th, 2025
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 1798, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1798 evenly are known as factors of 1798.
A factor of 1798 is a number that divides the number without remainder.
The factors of 1798 are 1, 2, 899, and 1798.
Negative factors of 1798: -1, -2, -899, and -1798.
Prime factors of 1798: 2 and 899.
Prime factorization of 1798: 2 × 899.
The sum of factors of 1798: 1 + 2 + 899 + 1798 = 2700.
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 1798. Identifying the numbers which are multiplied to get the number 1798 is the multiplication method.
Step 1: Multiply 1798 by 1, 1798 × 1 = 1798.
Step 2: Check for other numbers that give 1798 after multiplying.
2 × 899 = 1798
Therefore, the positive factor pairs of 1798 are: (1, 1798) and (2, 899).
All these factor pairs result in 1798.
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 the simple division method -
Step 1: Divide 1798 by 1, 1798 ÷ 1 = 1798.
Step 2: Continue dividing 1798 by the numbers until the remainder becomes 0.
1798 ÷ 1 = 1798
1798 ÷ 2 = 899
Therefore, the factors of 1798 are: 1, 2, 899, 1798.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1798 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1798 ÷ 2 = 899
899 ÷ 899 = 1
The prime factors of 1798 are 2 and 899.
The prime factorization of 1798 is: 2 × 899.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1798 is divided by 2 to get 899.
Step 2: Now divide 899 by 899 to get 1.
So, the prime factorization of 1798 is: 2 × 899.
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 1798: (1, 1798) and (2, 899).
Negative factor pairs of 1798: (-1, -1798) and (-2, -899).
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 boxes and 1798 candies. How will they distribute the candies equally?
They will get 899 candies each.
To divide the candies equally, we need to divide the total candies by the number of boxes.
1798/2 = 899
A rectangular garden has a length of 899 meters and a total area of 1798 square meters. Find the width.
2 meters.
To find the width of the garden, we use the formula,
Area = length × width
1798 = 899 × width
To find the value of width, we need to shift 899 to the left side.
1798/899 = width
Width = 2.
There are 1798 apples and 899 baskets. How many apples will be in each basket?
Each basket will have 2 apples.
To find the apples in each basket, divide the total apples by the baskets.
1798/899 = 2
In a tournament, there are 1798 participants and 2 teams. How many participants are there in each team?
There are 899 participants in each team.
Dividing the participants by the total teams, we will get the number of participants in each team.
1798/2 = 899
1798 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 899 books.
Divide total books by shelves.
1798/2 = 899
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.