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 items equally, arranging things, etc. In this topic, we will learn about the factors of 1797, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1797 evenly are known as factors of 1797.
A factor of 1797 is a number that divides the number without remainder.
The factors of 1797 are 1, 3, 599, and 1797.
Negative factors of 1797: -1, -3, -599, and -1797.
Prime factors of 1797: 3 and 599.
Prime factorization of 1797: 3 × 599.
The sum of factors of 1797: 1 + 3 + 599 + 1797 = 2400
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 1797. Identifying the numbers which are multiplied to get the number 1797 is the multiplication method.
Step 1: Multiply 1797 by 1, 1797 × 1 = 1797.
Step 2: Check for other numbers that give 1797 after multiplying
3 × 599 = 1797
Therefore, the positive factor pairs of 1797 are: (1, 1797) and (3, 599).
All these factor pairs result in 1797.
For every positive factor, there is a negative factor.
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1797 by 1, 1797 ÷ 1 = 1797.
Step 2: Continue dividing 1797 by the numbers until the remainder becomes 0.
1797 ÷ 1 = 1797
1797 ÷ 3 = 599
Therefore, the factors of 1797 are: 1, 3, 599, and 1797.
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 1797 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1797 ÷ 3 = 599
599 is a prime number.
The prime factors of 1797 are 3 and 599.
The prime factorization of 1797 is: 3 × 599.
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1797 is divided by 3 to get 599.
Step 2: 599 is already a prime number.
So, the prime factorization of 1797 is: 3 × 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 1797: (1, 1797) and (3, 599).
Negative factor pairs of 1797: (-1, -1797) and (-3, -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 3 teams and 1797 points. How will they divide the points equally?
They will get 599 points each.
To divide the points equally, we need to divide the total points by the number of teams.
1797/3 = 599
A rectangular garden has a length of 3 meters and a total area of 1797 square meters. Find the width?
599 meters.
To find the width of the garden, we use the formula,
Area = length × width
1797 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1797/3 = width
Width = 599.
There are 599 boxes and 1797 apples. How many apples will be in each box?
Each box will have 3 apples.
To find the apples in each box, divide the total apples by the boxes.
1797/599 = 3
In a school, there are 1797 students, and 3 grades. How many students are there in each grade?
There are 599 students in each grade.
Dividing the students by the total grades, we will get the number of students in each grade.
1797/3 = 599
A library has 1797 books to arrange in 3 sections. How many books will go in each section?
Each section has 599 books.
Divide total books by sections.
1797/3 = 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.