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 795, how they are used in real life, and tips to learn them quickly.
The numbers that divide 795 evenly are known as factors of 795.
A factor of 795 is a number that divides the number without remainder.
The factors of 795 are 1, 3, 5, 15, 53, 159, 265, and 795.
Negative factors of 795: -1, -3, -5, -15, -53, -159, -265, and -795.
Prime factors of 795: 3, 5, and 53.
Prime factorization of 795: 3 × 5 × 53.
The sum of factors of 795: 1 + 3 + 5 + 15 + 53 + 159 + 265 + 795 = 1296
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 795. Identifying the numbers which are multiplied to get the number 795 is the multiplication method.
Step 1: Multiply 795 by 1, 795 × 1 = 795.
Step 2: Check for other numbers that give 795 after multiplying
3 × 265 = 795
5 × 159 = 795
15 × 53 = 795
Therefore, the positive factor pairs of 795 are: (1, 795), (3, 265), (5, 159), (15, 53).
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 795 by 1, 795 ÷ 1 = 795.
Step 2: Continue dividing 795 by the numbers until the remainder becomes 0.
795 ÷ 1 = 795
795 ÷ 3 = 265
795 ÷ 5 = 159
795 ÷ 15 = 53
Therefore, the factors of 795 are: 1, 3, 5, 15, 53, 159, 265, 795.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 795 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
795 ÷ 3 = 265
265 ÷ 5 = 53
53 ÷ 53 = 1
The prime factors of 795 are 3, 5, and 53.
The prime factorization of 795 is: 3 × 5 × 53.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 795 is divided by 3 to get 265.
Step 2: Now divide 265 by 5 to get 53.
Step 3: 53 is a prime number that cannot be divided further. So, the prime factorization of 795 is: 3 × 5 × 53.
Factor Pairs: Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 795: (1, 795), (3, 265), (5, 159), and (15, 53).
Negative factor pairs of 795: (-1, -795), (-3, -265), (-5, -159), and (-15, -53).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 15 students and 795 pencils. How will they divide them equally?
They will get 53 pencils each.
To divide the pencils equally, we need to divide the total pencils by the number of students.
795/15 = 53
A garden is rectangular, the length of the garden is 5 meters and the total area is 795 square meters. Find the width?
159 meters.
To find the width of the garden, we use the formula, Area = length × width
795 = 5 × width
To find the value of width, we need to shift 5 to the left side.
795/5 = width
Width = 159.
There are 53 tables and 795 chairs. How many chairs will be at each table?
Each table will have 15 chairs.
To find the chairs at each table, divide the total chairs by the tables.
795/53 = 15
In a tournament, there are 265 players, and they need to be grouped into 5 teams. How many players are there in each team?
There are 53 players in each team.
Dividing the players by the total teams, we will get the number of players in each team.
265/5 = 53
795 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each shelf will have 265 books.
Divide total books by the number of shelves.
795/3 = 265
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.