130 LearnersLast updated on May 26th, 2025
Factors of 1797
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.
What are the Factors of 1797?
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
How to Find Factors of 1797?
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 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.
Finding Factors Using Division Method
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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1797
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 1797, 1 and 1797 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1797 consist of -1, -3, -599, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1797/1.5 = 1198, 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 1797 are prime numbers.
For example, 3 and 599 are the prime factors of 1797, but it also includes other factors like 1 and 1797.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1797 as 3 × 599 and missing all the key factors.
Factors of 1797 Examples
Problem 1
There are 3 teams and 1797 points. How will they divide the points equally?
They will get 599 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1797/3 = 599
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1797 square meters. Find the width?
599 meters.
Explanation
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.
Problem 3
There are 599 boxes and 1797 apples. How many apples will be in each box?
Each box will have 3 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
1797/599 = 3
Problem 4
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.
Explanation
Dividing the students by the total grades, we will get the number of students in each grade.
1797/3 = 599
Problem 5
A library has 1797 books to arrange in 3 sections. How many books will go in each section?
Each section has 599 books.
Explanation
Divide total books by sections.
1797/3 = 599
FAQs on Factors of 1797
1.What are the factors of 1797?
2.Mention the prime factors of 1797.
3.Is 1797 a multiple of 3?
4.Mention the factor pairs of 1797?
5.What is the square of 1797?
6.How can children in Canada use numbers in everyday life to understand Factors of 1797?
7.What are some fun ways kids in Canada can practice Factors of 1797 with numbers?
8.What role do numbers and Factors of 1797 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1797 skills?
Important Glossaries for Factor of 1797
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1797 are 1, 3, 599, and 1797.
- Prime factors: The factors which are prime numbers. For example, 3 and 599 are prime factors of 1797.
- 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 1797 are (1, 1797) and (3, 599).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1797 is 3 × 599.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in Canada
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.
