117 LearnersLast updated on May 26th, 2025
Factors of 789
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.
What are the Factors of 789?
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
How to Find Factors of 789?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 789
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 789, 1 and 789 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 789 consist of -1, -3, -263, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 789/1.5 = 526, 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 789 are prime numbers.
For example, 3 and 263 are the prime factors of 789, but it has other factors like 1, 789.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 789 as 3 × 263 and missing all the key factors.
Factors of 789 Examples
Problem 1
There are 3 teams and 789 players. How will they divide the players equally?
They will get 263 players each.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
789/3 = 263
Problem 2
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.
Explanation
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.
Problem 3
There are 789 books and 3 shelves. How many books will be in each shelf?
Each shelf will have 263 books.
Explanation
To find the books in each shelf, divide the total books by the number of shelves.
789/3 = 263
Problem 4
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.
Explanation
Dividing the candies by the total students, we will get the number of candies for each student.
789/263 = 3
Problem 5
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.
Explanation
Divide total pieces by galleries.
789/263 = 3
FAQs on Factors of 789
1.What are the factors of 789?
2.Mention the prime factors of 789.
3.Is 789 a multiple of 3?
4.Mention the factor pairs of 789?
5.What is the square of 789?
6.How can children in United States use numbers in everyday life to understand Factors of 789?
7.What are some fun ways kids in United States can practice Factors of 789 with numbers?
8.What role do numbers and Factors of 789 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 789 skills?
Important Glossaries for Factor of 789
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 789 are 1, 3, 263, and 789.
- Prime factors: The factors which are prime numbers. For example, 3 and 263 are prime factors of 789.
- 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 789 are (1, 789) and (3, 263).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 789 can be expressed as 3 × 263.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 789 are -1, -3, -263, and -789.
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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.
