100 LearnersLast updated on May 26th, 2025
Factors of 1388
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 1388, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1388?
The numbers that divide 1388 evenly are known as factors of 1388.
A factor of 1388 is a number that divides the number without remainder.
The factors of 1388 are 1, 2, 4, 347, 694, and 1388.
Negative factors of 1388: -1, -2, -4, -347, -694, and -1388.
Prime factors of 1388: 2 and 347.
Prime factorization of 1388: 22 × 347.
The sum of factors of 1388: 1 + 2 + 4 + 347 + 694 + 1388 = 2436
How to Find Factors of 1388?
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 1388. Identifying the numbers which are multiplied to get the number 1388 is the multiplication method.
Step 1: Multiply 1388 by 1, 1388 × 1 = 1388.
Step 2: Check for other numbers that give 1388 after multiplying
2 × 694 = 1388
4 × 347 = 1388
Therefore, the positive factor pairs of 1388 are: (1, 1388), (2, 694), (4, 347).
All these factor pairs result in 1388.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 1388 by 1, 1388 ÷ 1 = 1388.
Step 2: Continue dividing 1388 by the numbers until the remainder becomes 0.
1388 ÷ 1 = 1388
1388 ÷ 2 = 694
1388 ÷ 4 = 347
Therefore, the factors of 1388 are: 1, 2, 4, 347, 694, 1388.
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 1388 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1388 ÷ 2 = 694 6
94 ÷ 2 = 347
347 ÷ 347 = 1
The prime factors of 1388 are 2 and 347.
The prime factorization of 1388 is: 22 × 347.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1388 is divided by 2 to get 694.
Step 2: Now divide 694 by 2 to get 347. Here, 347 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1388 is: 22 × 347.
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 1388: (1, 1388), (2, 694), (4, 347).
Negative factor pairs of 1388: (-1, -1388), (-2, -694), (-4, -347).
Common Mistakes and How to Avoid Them in Factors of 1388
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 1388, 1 and 1388 are also factors.
Factors of 1388 Examples
Problem 1
There are 4 teams and 1388 points. How will they divide the points equally?
They will get 347 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1388/4 = 347
Problem 2
A garden is rectangular, the length of the garden is 347 meters and the total area is 1388 square meters. Find the width?
4 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1388 = 347 × width
To find the value of width, we need to shift 347 to the left side.
1388/347 = width
Width = 4.
Problem 3
There are 694 candies and 2 boxes. How many candies will be in each box?
Each box will have 347 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
694/2 = 347
Problem 4
In a class, there are 1388 students, and 694 groups. How many students are there in each group?
There are 2 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1388/694 = 2
Problem 5
1388 books need to be arranged in 347 shelves. How many books will go on each shelf?
Each of the shelves has 4 books.
Explanation
Divide total books by shelves.
1388/347 = 4
FAQs on Factors of 1388
1.What are the factors of 1388?
2.Mention the prime factors of 1388.
3.Is 1388 a multiple of 4?
4.Mention the factor pairs of 1388?
5.What is the square of 1388?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1388?
7.What are some fun ways kids in Bahrain can practice Factors of 1388 with numbers?
8.What role do numbers and Factors of 1388 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1388 skills?
Important Glossaries for Factors of 1388
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1388 are 1, 2, 4, 347, 694, and 1388.
- Prime factors: The factors which are prime numbers. For example, 2 and 347 are prime factors of 1388.
- 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 1388 are (1, 1388), (2, 694), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1388 is 22 × 347.
- Negative factors: The negative values of the positive factors of a number. For example, the negative factors of 1388 are -1, -2, -4, -347, -694, and -1388.
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About BrightChamps in Bahrain
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.
