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 789, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 789 evenly are known as factors of 789.
A factor of 789 is a number that divides the number without remainder.
The factors of 789 are 1, 3, 263, and 789.
Negative factors of 789: -1, -3, -263, and -789.
Prime factors of 789: 3 and 263.
Prime factorization of 789: 3 × 263.
The sum of factors of 789: 1 + 3 + 263 + 789 = 1056
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 789. Identifying the numbers which are multiplied to get the number 789 is the multiplication method.
Step 1: Multiply 789 by 1, 789 × 1 = 789.
Step 2: Check for other numbers that give 789 after multiplying
3 × 263 = 789
Therefore, the positive factor pairs of 789 are: (1, 789) and (3, 263). All these factor pairs result in 789.
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 789 by 1, 789 ÷ 1 = 789.
Step 2: Continue dividing 789 by the numbers until the remainder becomes 0.
789 ÷ 1 = 789
789 ÷ 3 = 263
Therefore, the factors of 789 are: 1, 3, 263, and 789.
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 789 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
789 ÷ 3 = 263
263 is a prime number, so it cannot be divided further.
The prime factors of 789 are 3 and 263.
The prime factorization of 789 is: 3 × 263.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 789 is divided by 3 to get 263. 263 is a prime number, so it cannot be divided further. So, the prime factorization of 789 is: 3 × 263.
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 789: (1, 789) and (3, 263).
Negative factor pairs of 789: (-1, -789) and (-3, -263).
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 3 teams and 789 players. How will they divide the players equally?
They will get 263 players each.
To divide the players equally, we need to divide the total players by the number of teams.
789/3 = 263
A field is rectangular, the length of the field is 263 meters and the total area is 789 square meters. Find the width?
3 meters.
To find the width of the field, we use the formula,
Area = length × width
789 = 263 × width
To find the value of width, we need to shift 263 to the left side.
789/263 = width
Width = 3.
There are 789 books and 3 shelves. How many books will be in each shelf?
Each shelf will have 263 books.
To find the books in each shelf, divide the total books by the number of shelves.
789/3 = 263
In a class, there are 789 candies, and 263 students. How many candies are there for each student?
There are 3 candies for each student.
Dividing the candies by the total students, we will get the number of candies for each student.
789/263 = 3
789 pieces of art need to be displayed in 263 galleries. How many pieces will go in each gallery?
Each of the galleries has 3 pieces.
Divide total pieces by galleries.
789/263 = 3
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.