119 LearnersLast updated on May 26th, 2025
Factors of 798
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 798, how they are used in real life, and tips to learn them quickly.
What are the Factors of 798?
The numbers that divide 798 evenly are known as factors of 798.
A factor of 798 is a number that divides the number without a remainder.
The factors of 798 are 1, 2, 3, 6, 133, 266, 399, and 798.
Negative factors of 798: -1, -2, -3, -6, -133, -266, -399, and -798.
Prime factors of 798: 2, 3, and 133.
Prime factorization of 798: 2 × 3 × 133.
The sum of factors of 798: 1 + 2 + 3 + 6 + 133 + 266 + 399 + 798 = 1608
How to Find Factors of 798?
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 798. Identifying the numbers which are multiplied to get the number 798 is the multiplication method.
Step 1: Multiply 798 by 1, 798 × 1 = 798.
Step 2: Check for other numbers that give 798 after multiplying
2 × 399 = 798
3 × 266 = 798
6 × 133 = 798
Therefore, the positive factor pairs of 798 are: (1, 798), (2, 399), (3, 266), (6, 133). All these factor pairs result in 798.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 798 by 1, 798 ÷ 1 = 798.
Step 2: Continue dividing 798 by the numbers until the remainder becomes 0.
798 ÷ 1 = 798
798 ÷ 2 = 399
798 ÷ 3 = 266
798 ÷ 6 = 133
Therefore, the factors of 798 are: 1, 2, 3, 6, 133, 266, 399, 798.
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 798 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
798 ÷ 2 = 399
399 ÷ 3 = 133
133 ÷ 133 = 1
The prime factors of 798 are 2, 3, and 133.
The prime factorization of 798 is: 2 × 3 × 133.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 798 is divided by 2 to get 399.
Step 2: Now divide 399 by 3 to get 133.
Step 3: Here, 133 is a prime number and cannot be divided further. So, the prime factorization of 798 is: 2 × 3 × 133.
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 798: (1, 798), (2, 399), (3, 266), (6, 133).
Negative factor pairs of 798: (-1, -798), (-2, -399), (-3, -266), (-6, -133).
Common Mistakes and How to Avoid Them in Factors of 798
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 798, 1 and 798 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 798 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 798/1.5 = 532, which 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 798 are prime numbers.
For example, 2 and 3 are prime factors of 798, but it has other factors like 6, 133.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, missing steps in breaking down 798 as 2 × 3 × 133 and missing key factors.
Factors of 798 Examples
Problem 1
A charity event has 798 tickets and 6 donors. How will they divide it equally?
They will get 133 tickets each.
Explanation
To divide the tickets equally, we need to divide the total tickets by the number of donors.
798/6 = 133
Problem 2
A theater has 399 seats and 133 rows. How many seats are there per row?
3 seats per row.
Explanation
To find the number of seats per row, we use the formula, Total seats = seats per row × rows
399 = 3 × 133
Therefore, each row has 3 seats.
Problem 3
There are 798 items and 3 boxes. How many items will be in each box?
Each box will have 266 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
798/3 = 266
Problem 4
In a factory, there are 798 units and 2 production lines. How many units are there on each line?
There are 399 units on each line.
Explanation
Dividing the units by the number of lines, we will get the number of units on each line.
798/2 = 399
Problem 5
798 pages need to be distributed across 6 binders. How many pages will go in each binder?
Each binder will have 133 pages.
Explanation
Divide the total pages by the number of binders.
798/6 = 133
FAQs on Factors of 798
1.What are the factors of 798?
2.Mention the prime factors of 798.
3.Is 798 a multiple of 3?
4.Mention the factor pairs of 798?
5.What is the sum of the factors of 798?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 798?
7.What are some fun ways kids in Vietnam can practice Factors of 798 with numbers?
8.What role do numbers and Factors of 798 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 798 skills?
Important Glossaries for Factors of 798
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 798 are 1, 2, 3, 6, 133, 266, 399, and 798.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 133 are prime factors of 798.
- 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 798 are (1, 798), (2, 399), etc.
- Prime factorization: Breaking down a number into the product of its prime factors. For 798, it is 2 × 3 × 133.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 798
About BrightChamps in Vietnam
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.
