102 LearnersLast updated on May 26th, 2025
Factors of 759
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 759, how they are used in real life, and tips to learn them quickly.
What are the Factors of 759?
The numbers that divide 759 evenly are known as factors of 759.
A factor of 759 is a number that divides the number without remainder.
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, and 759.
Negative factors of 759: -1, -3, -11, -23, -33, -69, -253, and -759.
Prime factors of 759: 3, 11, and 23.
Prime factorization of 759: 3 × 11 × 23.
The sum of factors of 759: 1 + 3 + 11 + 23 + 33 + 69 + 253 + 759 = 1152
How to Find Factors of 759?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 759. Identifying the numbers which are multiplied to get the number 759 is the multiplication method.
Step 1: Multiply 759 by 1, 759 × 1 = 759.
Step 2: Check for other numbers that give 759 after multiplying
3 × 253 = 759
11 × 69 = 759
23 × 33 = 759
Therefore, the positive factor pairs of 759 are: (1, 759), (3, 253), (11, 69), (23, 33).
All these factor pairs result in 759.
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 the simple division method -
Step 1: Divide 759 by 1, 759 ÷ 1 = 759.
Step 2: Continue dividing 759 by the numbers until the remainder becomes 0.
759 ÷ 1 = 759
759 ÷ 3 = 253
759 ÷ 11 = 69
759 ÷ 23 = 33
Therefore, the factors of 759 are: 1, 3, 11, 23, 33, 69, 253, 759.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 759 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
759 ÷ 3 = 253
253 ÷ 11 = 23
23 ÷ 23 = 1
The prime factors of 759 are 3, 11, and 23.
The prime factorization of 759 is: 3 × 11 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 759 is divided by 3 to get 253.
Step 2: Now divide 253 by 11 to get 23. Here, 23 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 759 is: 3 × 11 × 23.
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 759: (1, 759), (3, 253), (11, 69), and (23, 33).
Negative factor pairs of 759: (-1, -759), (-3, -253), (-11, -69), and (-23, -33).
Common Mistakes and How to Avoid Them in Factors of 759
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 759, 1 and 759 are also factors.
Factors of 759 Examples
Problem 1
A charity has 759 apples to distribute equally among 11 schools. How many apples will each school receive?
Each school will receive 69 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of schools.
759/11 = 69
Problem 2
A rectangular garden has a length of 33 meters and a total area of 759 square meters. What is the width of the garden?
23 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
759 = 33 × width
To find the value of the width, we need to shift 33 to the left side.
759/33 = width
Width = 23.
Problem 3
There are 3 cars and 759 miles to travel. How many miles will each car travel?
Each car will travel 253 miles.
Explanation
To find the miles each car will travel, divide the total miles by the number of cars.
759/3 = 253
Problem 4
In a factory, there are 759 workers divided into 23 teams. How many workers are there in each team?
There are 33 workers in each team.
Explanation
Dividing the workers by the total teams, we will get the number of workers in each team.
759/23 = 33
Problem 5
759 chairs need to be arranged in 69 rows. How many chairs will go in each row?
Each row will have 11 chairs.
Explanation
Divide total chairs by rows.
759/69 = 11
FAQs on Factors of 759
1.What are the factors of 759?
2.Mention the prime factors of 759.
3.Is 759 a multiple of 11?
4.Mention the factor pairs of 759?
5.What is the square of 759?
Important Glossaries for Factor of 759
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 759 are 1, 3, 11, 23, 33, 69, 253, and 759.
- Prime factors: The factors which are prime numbers. For example, 3, 11, and 23 are prime factors of 759.
- 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 759 are (1, 759), (3, 253), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 759 is 3 × 11 × 23.
- Multiple: A number that can be divided by another number without a remainder. For example, 759 is a multiple of 3.
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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.
