100 LearnersLast updated on May 26th, 2025
Factors of 1384
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 1384, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1384?
The numbers that divide 1384 evenly are known as factors of 1384.
A factor of 1384 is a number that divides the number without remainder.
The factors of 1384 are 1, 2, 4, 8, 173, 346, 692, and 1384.
Negative factors of 1384: -1, -2, -4, -8, -173, -346, -692, and -1384.
Prime factors of 1384: 2 and 173.
Prime factorization of 1384: 23 × 173.
The sum of factors of 1384: 1 + 2 + 4 + 8 + 173 + 346 + 692 + 1384 = 2610
How to Find Factors of 1384?
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 1384. Identifying the numbers which are multiplied to get the number 1384 is the multiplication method.
Step 1: Multiply 1384 by 1, 1384 × 1 = 1384.
Step 2: Check for other numbers that give 1384 after multiplying
2 × 692 = 1384
4 × 346 = 1384
8 × 173 = 1384
Therefore, the positive factor pairs of 1384 are: (1, 1384), (2, 692), (4, 346), (8, 173).
All these factor pairs result in 1384.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 1384 by 1, 1384 ÷ 1 = 1384.
Step 2: Continue dividing 1384 by the numbers until the remainder becomes 0.
1384 ÷ 1 = 1384
1384 ÷ 2 = 692
1384 ÷ 4 = 346
1384 ÷ 8 = 173
Therefore, the factors of 1384 are: 1, 2, 4, 8, 173, 346, 692, 1384.
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 1384 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1384 ÷ 2 = 692
692 ÷ 2 = 346
346 ÷ 2 = 173
173 ÷ 173 = 1
The prime factors of 1384 are 2 and 173.
The prime factorization of 1384 is: 23 × 173.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1384 is divided by 2 to get 692.
Step 2: Now divide 692 by 2 to get 346.
Step 3: Then divide 346 by 2 to get 173. Here, 173 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1384 is: 23 × 173.
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 1384: (1, 1384), (2, 692), (4, 346), (8, 173).
Negative factor pairs of 1384: (-1, -1384), (-2, -692), (-4, -346), (-8, -173).
Common Mistakes and How to Avoid Them in Factors of 1384
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 1384, 1 and 1384 are also factors.
Factors of 1384 Examples
Problem 1
A gardener has 1384 flowers and wants to arrange them in rows with 8 flowers each. How many complete rows can be formed?
173 complete rows can be formed.
Explanation
To find the number of complete rows, divide the total flowers by the number of flowers per row.
1384/8 = 173
Problem 2
A rectangular garden has a length of 346 meters and a total area of 1384 square meters. Find the width.
4 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1384 = 346 × width
To find the value of width, we need to shift 346 to the left side.
1384/346 = width
Width = 4.
Problem 3
A box contains 1384 marbles. If 173 marbles are packed in each packet, how many packets can be made?
8 packets can be made.
Explanation
To find the number of packets, divide the total marbles by the number of marbles per packet.
1384/173 = 8
Problem 4
A classroom has 1384 chairs and is divided into 692 rows. How many chairs are there in each row?
There are 2 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1384/692 = 2
Problem 5
1384 pages need to be distributed equally among 4 folders. How many pages will go in each folder?
Each folder will have 346 pages.
Explanation
Divide total pages by folders.
1384/4 = 346
FAQs on Factors of 1384
1.What are the factors of 1384?
2.Mention the prime factors of 1384.
3.Is 1384 a multiple of 8?
4.Mention the factor pairs of 1384?
5.What is the square of 1384?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1384?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1384 with numbers?
8.What role do numbers and Factors of 1384 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1384 skills?
Important Glossaries for Factors of 1384
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1384 are 1, 2, 4, 8, 173, 346, 692, and 1384.
- Prime factors: The factors which are prime numbers. For example, 2 and 173 are prime factors of 1384.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1384 is 23 × 173.
- 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 1384 are (1, 1384), (2, 692), etc.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -2, -4, -8, -173, -346, -692, and -1384 are negative factors of 1384.
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About BrightChamps in United Arab Emirates
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.
