124 LearnersLast updated on May 26th, 2025
Factors of 388
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.
What are the Factors of 388?
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
How to Find Factors of 388?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 388
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 word. Always remember to include 1 and the number itself.
For example, in factors of 388, 1 and 388 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 388 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 388/1.5 = 258.666, 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 388 are prime numbers. For example, 2 and 97 are the prime factors of 388, but it has other factors like 4, 194.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 388 as 2² × 97 and missing all the key factors.
Factors of 388 Examples
Problem 1
There are 4 teams and 388 medals. How will they divide the medals equally?
They will get 97 medals each.
Explanation
To divide the medals equally, we need to divide the total medals by the number of teams.
388/4 = 97
Problem 2
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.
Explanation
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.
Problem 3
There are 2 boxes and 388 marbles. How many marbles will be in each box?
Each box will have 194 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
388/2 = 194
Problem 4
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.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
388/97 = 4
Problem 5
388 books need to be arranged in 97 shelves. How many books will go on each shelf?
Each of the shelves has 4 books.
Explanation
Divide total books by shelves.
388/97 = 4
FAQs on Factors of 388
1.What are the factors of 388?
2.Mention the prime factors of 388.
3.Is 388 a multiple of 4?
4.Mention the factor pairs of 388?
5.What is the square of 388?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 388?
7.What are some fun ways kids in Vietnam can practice Factors of 388 with numbers?
8.What role do numbers and Factors of 388 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 388 skills?
Important Glossaries for Factors of 388
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 388 are 1, 2, 4, 97, 194, and 388.
- Prime factors: The factors which are prime numbers. For example, 2 and 97 are prime factors of 388.
- 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 388 are (1, 388), (2, 194), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 388 is 2² × 97.
- Multiple: A number that can be divided by another number without a remainder. For example, 388 is a multiple of 4.
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About BrightChamps in Vietnam
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.
