100 LearnersLast updated on May 26th, 2025
Factors of 760
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 760, how they are used in real life, and tips to learn them quickly.
What are the Factors of 760?
The numbers that divide 760 evenly are known as factors of 760.
A factor of 760 is a number that divides the number without a remainder.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, and 760.
Negative factors of 760: -1, -2, -4, -5, -8, -10, -19, -20, -38, -40, -76, -95, -152, -190, -380, and -760.
Prime factors of 760: 2, 5, and 19.
Prime factorization of 760: 2³ × 5 × 19.
The sum of factors of 760: 1 + 2 + 4 + 5 + 8 + 10 + 19 + 20 + 38 + 40 + 76 + 95 + 152 + 190 + 380 + 760 = 1800
How to Find Factors of 760?
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 760. Identifying the numbers which are multiplied to get the number 760 is the multiplication method.
Step 1: Multiply 760 by 1, 760 × 1 = 760.
Step 2: Check for other numbers that give 760 after multiplying
2 × 380 = 760
4 × 190 = 760
5 × 152 = 760
8 × 95 = 760
10 × 76 = 760
19 × 40 = 760
20 × 38 = 760
Therefore, the positive factor pairs of 760 are: (1, 760), (2, 380), (4, 190), (5, 152), (8, 95), (10, 76), (19, 40), (20, 38).
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 760 by 1, 760 ÷ 1 = 760.
Step 2: Continue dividing 760 by the numbers until the remainder becomes 0.
760 ÷ 1 = 760
760 ÷ 2 = 380
760 ÷ 4 = 190
760 ÷ 5 = 152
760 ÷ 8 = 95
760 ÷ 10 = 76
760 ÷ 19 = 40
760 ÷ 20 = 38
Therefore, the factors of 760 are: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 760 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
760 ÷ 2 = 380
380 ÷ 2 = 190
190 ÷ 2 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
The prime factors of 760 are 2, 5, and 19.
The prime factorization of 760 is: 2³ × 5 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 760 is divided by 2 to get 380.
Step 2: Now divide 380 by 2 to get 190.
Step 3: Then divide 190 by 2 to get 95.
Step 4: Divide 95 by 5 to get 19.
Here, 19 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 760 is: 2³ × 5 × 19.
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 760: (1, 760), (2, 380), (4, 190), (5, 152), (8, 95), (10, 76), (19, 40), (20, 38).
Negative factor pairs of 760: (-1, -760), (-2, -380), (-4, -190), (-5, -152), (-8, -95), (-10, -76), (-19, -40), (-20, -38).
Common Mistakes and How to Avoid Them in Factors of 760
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 760, 1 and 760 are also factors.
Factors of 760 Examples
Problem 1
There are 8 teams and 760 points to distribute equally. How many points does each team get?
They will get 95 points each.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
760/8 = 95
Problem 2
A rectangular garden has a length of 20 meters and a total area of 760 square meters. Find the width.
38 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
760 = 20 × width
To find the value of width, we need to shift 20 to the left side
.760/20 = width
Width = 38.
Problem 3
There are 19 boxes and 760 items. How many items will be in each box?
Each box will have 40 items.
Explanation
To find the items in each box, divide the total items with the boxes.
760/19 = 40
Problem 4
In a class, there are 760 students and 5 groups. How many students are there in each group?
There are 152 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
760/5 = 152
Problem 5
760 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves has 76 books.
Explanation
Divide total books with shelves.
760/10 = 76
FAQs on Factors of 760
1.What are the factors of 760?
2.Mention the prime factors of 760.
3.Is 760 a multiple of 4?
4.Mention the factor pairs of 760?
5.What is the square of 760?
Important Glossaries for Factor of 760
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, and 760.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 19 are prime factors of 760.
- 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 760 are (1, 760), (2, 380), etc.
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 760 is 2³ × 5 × 19.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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.
