135 LearnersLast updated on May 28th, 2025
Factors of 1598
Factors are the numbers that divide any given number evenly without a 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 1598, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1598?
The numbers that divide 1598 evenly are known as factors of 1598.
A factor of 1598 is a number that divides the number without a remainder.
The factors of 1598 are 1, 2, 23, 46, 69, 92, 799, and 1598.
Negative factors of 1598: -1, -2, -23, -46, -69, -92, -799, and -1598.
Prime factors of 1598: 2 and 23.
Prime factorization of 1598: 2 × 23 × 23.
The sum of the factors of 1598: 1 + 2 + 23 + 46 + 69 + 92 + 799 + 1598 = 2630
How to Find Factors of 1598?
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 1598. Identifying the numbers which are multiplied to get the number 1598 is the multiplication method.
Step 1: Multiply 1598 by 1, 1598 × 1 = 1598.
Step 2: Check for other numbers that give 1598 after multiplying
2 × 799 = 1598
23 × 69 = 1598
46 × 34.7391 (not a whole number, so 34.7391 is not a factor)
Therefore, the positive factor pairs of 1598 are: (1, 1598), (2, 799), (23, 69).
All these factor pairs result in 1598. 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 1598 by 1, 1598 ÷ 1 = 1598.
Step 2: Continue dividing 1598 by the numbers until the remainder becomes 0.
1598 ÷ 1 = 1598
1598 ÷ 2 = 799
1598 ÷ 23 = 69
1598 ÷ 46 = 34.
7391 (not a whole number, so 46 is not a factor)
Therefore, the factors of 1598 are: 1, 2, 23, 46, 69, 92, 799, 1598.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1598 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1598 ÷ 2 = 799
799 ÷ 23 = 34.
7391 (since 799 cannot be divided further by 23, 23 is the prime factor) The prime factors of 1598 are 2 and 23.
The prime factorization of 1598 is: 2 × 23 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1598 is divided by 2 to get 799.
Step 2: Now divide 799 by 23 to get a non-whole number, confirming 23 as a prime factor.
Here, 23 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1598 is: 2 × 23 × 23.
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 1598: (1, 1598), (2, 799), (23, 69).
Negative factor pairs of 1598: (-1, -1598), (-2, -799), (-23, -69).
Common Mistakes and How to Avoid Them in Factors of 1598
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 1598, 1 and 1598 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1598 consist of -1, -2, -23, etc.
Mistake 3
Including the Fraction
Children might sometimes incorrectly include fractions as factors. Only whole numbers can be a factor.
For example, thinking 34.7391 as a factor, because 1598 ÷ 46 = 34.7391, 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 1598 are prime numbers.
For example, 2 and 23 are the prime factors of 1598, but it has other factors like 69, 799.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1598 as 2 × 23 × 23 and missing all the key factors.
Factors of 1598 Examples
Problem 1
There are 23 students and 1598 pages in total. How many pages will each student get if divided equally?
Each student will get 69 pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
1598 ÷ 23 = 69
Problem 2
A plot of land is rectangular, the length of the plot is 46 meters and the total area is 1598 square meters. Find the width.
34.7391 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1598 = 46 × width
To find the value of width, we need to shift 46 to the left side.
1598 ÷ 46 = width
Width = 34.7391 (not a whole number, hence 46 is not a factor)
Problem 3
There are 2 boxes and 1598 items. How many items will be in each box if divided equally?
Each box will have 799 items.
Explanation
To find the items in each box, divide the total items by the boxes.
1598 ÷ 2 = 799
Problem 4
In a conference, there are 1598 chairs, and 23 rows. How many chairs are in each row?
There are 69 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1598 ÷ 23 = 69
Problem 5
1598 books need to be arranged on 2 shelves. How many books will go on each shelf?
Each of the shelves has 799 books.
Explanation
Divide total books by the number of shelves.
1598 ÷ 2 = 799
FAQs on Factors of 1598
1.What are the factors of 1598?
2.Mention the prime factors of 1598.
3.Is 1598 a multiple of 23?
4.Mention the factor pairs of 1598?
5.What is the square of 1598?
6.How can children in United States use numbers in everyday life to understand Factors of 1598?
7.What are some fun ways kids in United States can practice Factors of 1598 with numbers?
8.What role do numbers and Factors of 1598 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 1598 skills?
Important Glossaries for Factor of 1598
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1598 are 1, 2, 23, 46, 69, 92, 799, and 1598.
- Prime factors: The factors which are prime numbers. For example, 2 and 23 are prime factors of 1598.
- 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 1598 are (1, 1598), (2, 799), and (23, 69).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1598 is 2 × 23 × 23.
- Multiplication method: A method to find factors by multiplying different pairs of numbers to achieve the original number. For example, using pairs like (2, 799) to find factors of 1598.
Explore More numbers
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.
