126 LearnersLast updated on May 26th, 2025
Factors of 597
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 597, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 597?
The numbers that divide 597 evenly are known as factors of 597.
A factor of 597 is a number that divides the number without remainder.
The factors of 597 are 1, 3, 199, and 597.
Negative factors of 597: -1, -3, -199, and -597.
Prime factors of 597: 3 and 199.
Prime factorization of 597: 3 × 199.
The sum of factors of 597: 1 + 3 + 199 + 597 = 800
How to Find Factors of 597?
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 597. Identifying the numbers which are multiplied to get the number 597 is the multiplication method.
Step 1: Multiply 597 by 1, 597 × 1 = 597.
Step 2: Check for other numbers that give 597 after multiplying
3 × 199 = 597
Therefore, the positive factor pairs of 597 are: (1, 597) and (3, 199). All these factor pairs result in 597. 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 in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 597 by 1, 597 ÷ 1 = 597.
Step 2: Continue dividing 597 by the numbers until the remainder becomes 0.
597 ÷ 1 = 597
597 ÷ 3 = 199
Therefore, the factors of 597 are: 1, 3, 199, 597.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 597 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
597 ÷ 3 = 199
199 ÷ 199 = 1
The prime factors of 597 are 3 and 199.
The prime factorization of 597 is: 3 × 199.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 597 is divided by 3 to get 199.
Step 2: Now divide 199 by 199 to get 1.
Here, 199 is a prime number and cannot be divided any further.
So, the prime factorization of 597 is: 3 × 199.
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 597: (1, 597) and (3, 199).
Negative factor pairs of 597: (-1, -597) and (-3, -199).
Common Mistakes and How to Avoid Them in Factors of 597
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 597, 1 and 597 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 597 consist of -1, -3, -199, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 597/1.5 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 597 are prime numbers.
For example, 3 and 199 are the prime factors of 597, but it has other factors like 1 and 597.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 597 as 3 × 199 and missing all the key factors.
Factors of 597 Examples
Problem 1
A group of 3 friends has 597 marbles. How many marbles does each friend receive if they share them equally?
Each friend will receive 199 marbles.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
597 ÷ 3 = 199
Problem 2
A farmer has a rectangular plot with a length of 3 meters and a total area of 597 square meters. What is the width of the plot?
199 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
597 = 3 × width
To find the value of width, we need to shift 3 to the left side.
597 ÷ 3 = width
Width = 199.
Problem 3
There are 199 containers and 597 liters of oil. How many liters will each container hold?
Each container will hold 3 liters of oil.
Explanation
To find the liters in each container, divide the total liters by the number of containers.
597 ÷ 199 = 3
Problem 4
A class has 597 students, and they are divided into 3 groups. How many students are there in each group?
There are 199 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
597 ÷ 3 = 199
Problem 5
A library has 597 books that need to be arranged in 3 shelves. How many books will go on each shelf?
Each shelf will have 199 books.
Explanation
Divide the total books by the shelves.
597 ÷ 3 = 199
FAQs on Factors of 597
1.What are the factors of 597?
2.Mention the prime factors of 597.
3.Is 597 a multiple of 3?
4.Mention the factor pairs of 597?
5.What is the square of 597?
6.How can children in United States use numbers in everyday life to understand Factors of 597?
7.What are some fun ways kids in United States can practice Factors of 597 with numbers?
8.What role do numbers and Factors of 597 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 597 skills?
Important Glossaries for Factors of 597
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 597 are 1, 3, 199, and 597.
- Prime factors: The factors which are prime numbers. For example, 3 and 199 are prime factors of 597.
- 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 597 are (1, 597) and (3, 199).
- Negative factors: These are factors of a number that are negative, such as -1, -3, -199, and -597 for the number 597.
- Prime factorization: The expression of a number as a product of its prime factors. For example, 597 = 3 × 199.
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About BrightChamps in United States
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.
