101 LearnersLast updated on May 26th, 2025
Factors of 1396
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 1396, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1396?
The numbers that divide 1396 evenly are known as factors of 1396.
A factor of 1396 is a number that divides the number without remainder.
The factors of 1396 are 1, 2, 4, 349, 698, and 1396.
Negative factors of 1396: -1, -2, -4, -349, -698, and -1396.
Prime factors of 1396: 2 and 349.
Prime factorization of 1396: 2² × 349.
The sum of factors of 1396: 1 + 2 + 4 + 349 + 698 + 1396 = 2450
How to Find Factors of 1396?
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 1396. Identifying the numbers which are multiplied to get the number 1396 is the multiplication method.
Step 1: Multiply 1396 by 1, 1396 × 1 = 1396.
Step 2: Check for other numbers that give 1396 after multiplying
2 × 698 = 1396
4 × 349 = 1396
Therefore, the positive factor pairs of 1396 are: (1, 1396), (2, 698), (4, 349).
All these factor pairs result in 1396.
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 1396 by 1, 1396 ÷ 1 = 1396.
Step 2: Continue dividing 1396 by the numbers until the remainder becomes 0.
1396 ÷ 1 = 1396
1396 ÷ 2 = 698
1396 ÷ 4 = 349
Therefore, the factors of 1396 are: 1, 2, 4, 349, 698, 1396.
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 1396 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1396 ÷ 2 = 698
698 ÷ 2 = 349
349 is a prime number.
The prime factors of 1396 are 2 and 349.
The prime factorization of 1396 is: 2² × 349.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1396 is divided by 2 to get 698.
Step 2: Now divide 698 by 2 to get 349. Here, 349 is a prime number that cannot be divided anymore.
So, the prime factorization of 1396 is: 2² × 349.
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 1396: (1, 1396), (2, 698), and (4, 349).
Negative factor pairs of 1396: (-1, -1396), (-2, -698), and (-4, -349).
Common Mistakes and How to Avoid Them in Factors of 1396
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 1396, 1 and 1396 are also factors.
Factors of 1396 Examples
Problem 1
There are 1396 marbles to be packed into boxes of 349 marbles each. How many boxes will be needed?
4 boxes are needed.
Explanation
To find the number of boxes needed, divide the total marbles by the number of marbles per box.
1396/349 = 4
Problem 2
A rectangular field has a length of 4 meters and a total area of 1396 square meters. What is the width?
349 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1396 = 4 × width
To find the value of width, divide 1396 by 4.
1396/4 = width
Width = 349.
Problem 3
There are 698 apples to be put into baskets, each holding 2 apples. How many baskets will be used?
349 baskets will be used.
Explanation
To find the number of baskets needed, divide the total apples by the number of apples per basket.
698/2 = 349
Problem 4
In a class, there are 1396 students, and they need to be divided into 2 groups. How many students are there in each group?
There are 698 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1396/2 = 698
Problem 5
A library has 1396 books, and they are to be arranged equally on 4 shelves. How many books will go on each shelf?
Each of the shelves has 349 books.
Explanation
Divide the total books by the number of shelves.
1396/4 = 349
FAQs on Factors of 1396
1.What are the factors of 1396?
2.Mention the prime factors of 1396.
3.Is 1396 a multiple of 4?
4.Mention the factor pairs of 1396?
5.What is the square of 1396?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1396?
7.What are some fun ways kids in Bahrain can practice Factors of 1396 with numbers?
8.What role do numbers and Factors of 1396 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1396 skills?
Important Glossaries for Factor of 1396
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1396 are 1, 2, 4, 349, 698, and 1396.
- Prime factors: The factors which are prime numbers. For example, 2 and 349 are prime factors of 1396.
- 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 1396 are (1, 1396), (2, 698), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1396 is 2² × 349.
- Multiple: A number that can be divided by another number without a remainder. For example, 1396 is a multiple of 4.
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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.
