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 388, how they are used in real life, and tips to learn them quickly.
The numbers that divide 388 evenly are known as factors of 388. A factor of 388 is a number that divides the number without remainder.
The factors of 388 are 1, 2, 4, 97, 194, and 388.
Negative factors of 388: -1, -2, -4, -97, -194, and -388.
Prime factors of 388: 2 and 97.
Prime factorization of 388: 2² × 97.
The sum of factors of 388: 1 + 2 + 4 + 97 + 194 + 388 = 686
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 388. Identifying the numbers which are multiplied to get the number 388 is the multiplication method.
Step 1: Multiply 388 by 1, 388 × 1 = 388.
Step 2: Check for other numbers that give 388 after multiplying
2 × 194 = 388
4 × 97 = 388
Therefore, the positive factor pairs of 388 are: (1, 388), (2, 194), (4, 97). All these factor pairs result in 388. 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 388 by 1, 388 ÷ 1 = 388.
Step 2: Continue dividing 388 by numbers until the remainder becomes 0.
388 ÷ 1 = 388
388 ÷ 2 = 194
388 ÷ 4 = 97
Therefore, the factors of 388 are: 1, 2, 4, 97, 194, 388.
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 388 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
388 ÷ 2 = 194
194 ÷ 2 = 97
The prime factors of 388 are 2 and 97.
The prime factorization of 388 is: 2² × 97.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 388 is divided by 2 to get 194. Step 2: Now divide 194 by 2 to get 97. Here, 97 is a prime number that cannot be divided anymore. So, the prime factorization of 388 is: 2² × 97.
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 388: (1, 388), (2, 194), (4, 97).
Negative factor pairs of 388: (-1, -388), (-2, -194), (-4, -97).
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 4 teams and 388 medals. How will they divide the medals equally?
They will get 97 medals each.
To divide the medals equally, we need to divide the total medals by the number of teams.
388/4 = 97
A garden is rectangular, the width of the garden is 97 meters and the total area is 388 square meters. Find the length?
4 meters.
To find the length of the garden, we use the formula, Area = length × width
388 = length × 97
To find the value of length, we need to shift 97 to the left side.
388/97 = length
Length = 4.
There are 2 boxes and 388 marbles. How many marbles will be in each box?
Each box will have 194 marbles.
To find the marbles in each box, divide the total marbles by the boxes.
388/2 = 194
In a competition, there are 388 participants and 97 groups. How many participants are there in each group?
There are 4 participants in each group.
Dividing the participants by the total groups, we will get the number of participants in each group.
388/97 = 4
388 books need to be arranged in 97 shelves. How many books will go on each shelf?
Each of the shelves has 4 books.
Divide total books by shelves.
388/97 = 4
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.