126 LearnersLast updated on May 26th, 2025
Factors of 598
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 598, how they are used in real life, and tips to learn them quickly.
What are the Factors of 598?
The numbers that divide 598 evenly are known as factors of 598.
A factor of 598 is a number that divides the number without remainder.
The factors of 598 are 1, 2, 299, and 598.
Negative factors of 598: -1, -2, -299, and -598.
Prime factors of 598: 2 and 299.
Prime factorization of 598: 2 × 299.
The sum of factors of 598: 1 + 2 + 299 + 598 = 900
How to Find Factors of 598?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 598. Identifying the numbers which are multiplied to get the number 598 is the multiplication method.
Step 1: Multiply 598 by 1, 598 × 1 = 598.
Step 2: Check for other numbers that give 598 after multiplying
2 × 299 = 598
Therefore, the positive factor pairs of 598 are: (1, 598) and (2, 299). All these factor pairs result in 598. 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 which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 598 by 1, 598 ÷ 1 = 598.
Step 2: Continue dividing 598 by the numbers until the remainder becomes 0.
598 ÷ 1 = 598
598 ÷ 2 = 299
Therefore, the factors of 598 are: 1, 2, 299, 598.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 598 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
598 ÷ 2 = 299
299 ÷ 299 = 1
The prime factors of 598 are 2 and 299.
The prime factorization of 598 is: 2 × 299.
Factor Tree
A factor tree is a graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 598 is divided by 2 to get 299.
Step 2: Since 299 is a prime number, it cannot be divided further.
So, the prime factorization of 598 is: 2 × 299.
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 598: (1, 598) and (2, 299).
Negative factor pairs of 598: (-1, -598) and (-2, -299).
Common Mistakes and How to Avoid Them in Factors of 598
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 598, 1 and 598 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 598 consist of -1, -2, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 598/1.5 = 398.666..., 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 598 are prime numbers. 2 and 299 are the prime factors of 598, but it has other factors like 1 and 598.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 598 as 2 × 299 and missing key factors.
Factors of 598 Examples
Problem 1
A club distributes 598 flyers equally among its members. If each member receives 2 flyers, how many members are there?
There are 299 members.
Explanation
To find the number of members, divide the total flyers by the number of flyers each member receives.
598/2 = 299
Problem 2
A garden path is 2 meters wide and covers an area of 598 square meters. What is the length of the path?
299 meters.
Explanation
To find the length of the path, use the formula,
Area = length × width
598 = length × 2
To find the value of the length, divide 598 by 2.
598/2 = length
Length = 299.
Problem 3
A teacher has 598 pencils and wants to distribute them equally among 299 students. How many pencils will each student receive?
Each student will receive 2 pencils.
Explanation
To find the pencils each student receives, divide the total pencils by the number of students.
598/299 = 2
Problem 4
A roll of fabric is 598 meters long and needs to be cut into pieces of 2 meters each. How many pieces will there be?
There will be 299 pieces.
Explanation
Divide the total length of the fabric by the length of each piece.
598/2 = 299
Problem 5
A company orders 598 chairs to be arranged in rows of 2 chairs each. How many rows will there be?
There will be 299 rows.
Explanation
Divide the total number of chairs by the number of chairs per row.
598/2 = 299
FAQs on Factors of 598
1.What are the factors of 598?
2.Mention the prime factors of 598.
3.Is 598 a multiple of 2?
4.Mention the factor pairs of 598?
5.What is the square of 598?
Important Glossaries for Factor of 598
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 598 are 1, 2, 299, and 598.
- Prime factors: The factors which are prime numbers. For example, 2 and 299 are prime factors of 598.
- 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 598 are (1, 598) and (2, 299).
- Prime factorization: The expression of a number as a product of its prime factors. For 598, it is 2 × 299.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 598 is a multiple of 2.
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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.
