123 LearnersLast updated on May 26th, 2025
Factors of 380
Factors are the numbers that divide any given number evenly without a 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 380, how they are used in real life, and tips to learn them quickly.
What are the Factors of 380?
The numbers that divide 380 evenly are known as factors of 380. A factor of 380 is a number that divides the number without a remainder.
The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380.
Negative factors of 380: -1, -2, -4, -5, -10, -19, -20, -38, -76, -95, -190, and -380.
Prime factors of 380: 2, 5, and 19.
Prime factorization of 380: 2 × 2 × 5 × 19.
The sum of factors of 380: 1 + 2 + 4 + 5 + 10 + 19 + 20 + 38 + 76 + 95 + 190 + 380 = 840
How to Find Factors of 380?
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 380. Identifying the numbers which are multiplied to get the number 380 is the multiplication method.
Step 1: Multiply 380 by 1, 380 × 1 = 380.
Step 2: Check for other numbers that give 380 after multiplying
2 × 190 = 380
4 × 95 = 380
5 × 76 = 380
10 × 38 = 380
19 × 20 = 380
Therefore, the positive factor pairs of 380 are: (1, 380), (2, 190), (4, 95), (5, 76), (10, 38), and (19, 20). All these factor pairs result in 380. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 380 by 1, 380 ÷ 1 = 380.
Step 2: Continue dividing 380 by the numbers until the remainder becomes 0.
380 ÷ 1 = 380
380 ÷ 2 = 190
380 ÷ 4 = 95
380 ÷ 5 = 76
380 ÷ 10 = 38
380 ÷ 19 = 20
Therefore, the factors of 380 are: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
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 380 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
380 ÷ 2 = 190
190 ÷ 2 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
The prime factors of 380 are 2, 5, and 19.
The prime factorization of 380 is: 2 × 2 × 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, 380 is divided by 2 to get 190.
Step 2: Now divide 190 by 2 to get 95.
Step 3: Then divide 95 by 5 to get 19. Here, 19 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 380 is: 2 × 2 × 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 380: (1, 380), (2, 190), (4, 95), (5, 76), (10, 38), and (19, 20).
Negative factor pairs of 380: (-1, -380), (-2, -190), (-4, -95), (-5, -76), (-10, -38), and (-19, -20).
Common Mistakes and How to Avoid Them in Factors of 380
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 380, 1 and 380 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 380 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 380/1.5 = 253.333, 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 380 are prime numbers. For example, 2, 5, and 19 are the prime factors of 380, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 380 as 2 × 2 × 5 × 19 and missing all the key factors.
Factors of 380 Examples
Problem 1
There are 38 students and 380 apples. How will they distribute them equally?
They will get 10 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of students.
380/38 = 10
Problem 2
A rectangular garden has a length of 19 meters and a total area of 380 square meters. What is the width?
20 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
380 = 19 × width
To find the value of width, we need to shift 19 to the left side.
380/19 = width
Width = 20.
Problem 3
There are 95 packages and 380 objects. How many objects will be in each package?
Each package will have 4 objects.
Explanation
To find the objects in each package, divide the total objects by the number of packages.
380/95 = 4
Problem 4
In a class, there are 380 students and 5 teams. How many students are there in each team?
There are 76 students in each team.
Explanation
Dividing the students by the total teams, we will get the number of students in each team.
380/5 = 76
Problem 5
380 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves has 38 books.
Explanation
Divide total books by shelves.
380/10 = 38
FAQs on Factors of 380
1.What are the factors of 380?
2.Mention the prime factors of 380.
3.Is 380 a multiple of 4?
4.Mention the factor pairs of 380?
5.What is the square of 380?
6.How can children in India use numbers in everyday life to understand Factors of 380?
7.What are some fun ways kids in India can practice Factors of 380 with numbers?
8.What role do numbers and Factors of 380 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 380 skills?
Important Glossaries for Factors of 380
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 19 are prime factors of 380.
- 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 380 are (1, 380), (2, 190), etc.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 380 is a multiple of 4.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 380 is 2 × 2 × 5 × 19.
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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.
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