Last updated on May 26th, 2025
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.
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
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 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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
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 38 students and 380 apples. How will they distribute them equally?
They will get 10 apples each.
To distribute the apples equally, we need to divide the total apples by the number of students.
380/38 = 10
A rectangular garden has a length of 19 meters and a total area of 380 square meters. What is the width?
20 meters.
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.
There are 95 packages and 380 objects. How many objects will be in each package?
Each package will have 4 objects.
To find the objects in each package, divide the total objects by the number of packages.
380/95 = 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.
Dividing the students by the total teams, we will get the number of students in each team.
380/5 = 76
380 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves has 38 books.
Divide total books by shelves.
380/10 = 38
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.