Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A charity event has 798 tickets and 6 donors. How will they divide it equally?
They will get 133 tickets each.
To divide the tickets equally, we need to divide the total tickets by the number of donors.
798/6 = 133
A theater has 399 seats and 133 rows. How many seats are there per row?
3 seats per row.
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.
There are 798 items and 3 boxes. How many items will be in each box?
Each box will have 266 items.
To find the items in each box, divide the total items by the number of boxes.
798/3 = 266
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.
Dividing the units by the number of lines, we will get the number of units on each line.
798/2 = 399
798 pages need to be distributed across 6 binders. How many pages will go in each binder?
Each binder will have 133 pages.
Divide the total pages by the number of binders.
798/6 = 133
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.
: She loves to read number jokes and games.