Last updated on May 26th, 2025
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 3800, how they are used in real life, and tips to learn them quickly.
The numbers that divide 3800 evenly are known as factors of 3800.
A factor of 3800 is a number that divides the number without remainder.
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, and 3800.
Negative factors of 3800: -1, -2, -4, -5, -8, -10, -19, -20, -25, -38, -40, -50, -76, -95, -100, -152, -190, -200, -380, -475, -760, -950, -1900, and -3800.
Prime factors of 3800: 2, 5, and 19.
Prime factorization of 3800: 2² × 5² × 19.
The sum of factors of 3800: 1 + 2 + 4 + 5 + 8 + 10 + 19 + 20 + 25 + 38 + 40 + 50 + 76 + 95 + 100 + 152 + 190 + 200 + 380 + 475 + 760 + 950 + 1900 + 3800 = 9370
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 3800. Identifying the numbers which are multiplied to get the number 3800 is the multiplication method.
Step 1: Multiply 3800 by 1, 3800 × 1 = 3800.
Step 2: Check for other numbers that give 3800 after multiplying
2 × 1900 = 3800
4 × 950 = 3800
5 × 760 = 3800
8 × 475 = 3800
10 × 380 = 3800
19 × 200 = 3800
20 × 190 = 3800
25 × 152 = 3800
38 × 100 = 3800
40 × 95 = 3800
50 × 76 = 3800
Therefore, the positive factor pairs of 3800 are: (1, 3800), (2, 1900), (4, 950), (5, 760), (8, 475), (10, 380), (19, 200), (20, 190), (25, 152), (38, 100), (40, 95), and (50, 76). For every positive factor, there is a negative factor.
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 3800 by 1, 3800 ÷ 1 = 3800.
Step 2: Continue dividing 3800 by the numbers until the remainder becomes 0.
3800 ÷ 1 = 3800
3800 ÷ 2 = 1900
3800 ÷ 4 = 950
3800 ÷ 5 = 760
3800 ÷ 8 = 475
3800 ÷ 10 = 380
3800 ÷ 19 = 200
3800 ÷ 20 = 190
3800 ÷ 25 = 152
3800 ÷ 38 = 100
3800 ÷ 40 = 95
3800 ÷ 50 = 76
Therefore, the factors of 3800 are: 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, and 3800.
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 3800 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3800 ÷ 2 = 1900
1900 ÷ 2 = 950
950 ÷ 5 = 190
190 ÷ 5 = 38
38 ÷ 19 = 2
2 ÷ 2 = 1
The prime factors of 3800 are 2, 5, and 19.
The prime factorization of 3800 is: 2² × 5² × 19.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 3800 is divided by 2 to get 1900.
Step 2: Now divide 1900 by 2 to get 950.
Step 3: Then divide 950 by 5 to get 190.
Step 4: Divide 190 by 5 to get 38.
Step 5: Finally, divide 38 by 19 to get 2, and then divide 2 by 2 to get 1. Here, 1 is the smallest number, indicating the end of the factor tree. So, the prime factorization of 3800 is: 2² × 5² × 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 3800: (1, 3800), (2, 1900), (4, 950), (5, 760), (8, 475), (10, 380), (19, 200), (20, 190), (25, 152), (38, 100), (40, 95), and (50, 76).
Negative factor pairs of 3800: (-1, -3800), (-2, -1900), (-4, -950), (-5, -760), (-8, -475), (-10, -380), (-19, -200), (-20, -190), (-25, -152), (-38, -100), (-40, -95), and (-50, -76).
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 20 boxes and 3800 candies. How will they distribute them equally?
They will get 190 candies each.
To divide the candies equally, we need to divide the total candies by the number of boxes.
3800/20 = 190
A swimming pool is rectangular, the length of the pool is 95 meters and the total area is 3800 square meters. Find the width?
40 meters.
To find the width of the pool, we use the formula,
Area = length × width
3800 = 95 × width
To find the value of width, we need to shift 95 to the left side.
3800/95 = width
Width = 40.
There are 76 shelves and 3800 books. How many books will be on each shelf?
Each shelf will have 50 books.
To find the books on each shelf, divide the total books by the number of shelves.
3800/76 = 50
In a company, there are 3800 employees, and 190 teams. How many employees are there in each team?
There are 20 employees in each team.
Dividing the employees by the total teams, we will get the number of employees in each team.
3800/190 = 20
3800 seeds need to be planted in 475 pots. How many seeds will go in each pot?
Each of the pots has 8 seeds.
Divide total seeds by the number of pots.
3800/475 = 8
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.