101 LearnersLast updated on May 26th, 2025
Factors of -384
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 -384, how they are used in real life, and tips to learn them quickly.
What are the Factors of -384?
The numbers that divide -384 evenly are known as factors of -384.
A factor of -384 is a number that divides the number without remainder.
The positive factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384.
Negative factors of -384: -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -64, -96, -128, -192, and -384.
Prime factors of 384: 2 and 3.
Prime factorization of 384: 27 × 3.
The sum of the positive factors of 384: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 64 + 96 + 128 + 192 + 384 = 1023
How to Find Factors of -384?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 384. Identifying the numbers which are multiplied to get the number 384 is the multiplication method.
Step 1: Multiply 384 by 1, 384 × 1 = 384.
Step 2: Check for other numbers that give 384 after multiplying
2 × 192 = 384
3 × 128 = 384
4 × 96 = 384
6 × 64 = 384
8 × 48 = 384
12 × 32 = 384
16 × 24 = 384
Therefore, the positive factor pairs of 384 are: (1, 384), (2, 192), (3, 128), (4, 96), (6, 64), (8, 48), (12, 32), (16, 24). 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 384 by 1, 384 ÷ 1 = 384.
Step 2: Continue dividing 384 by the numbers until the remainder becomes 0.
384 ÷ 1 = 384
384 ÷ 2 = 192
384 ÷ 3 = 128
384 ÷ 4 = 96
384 ÷ 6 = 64
384 ÷ 8 = 48
384 ÷ 12 = 32
384 ÷ 16 = 24
Therefore, the factors of 384 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 384 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
384 ÷ 2 = 192
192 ÷ 2 = 96
96 ÷ 2 = 48
48 ÷ 2 = 24
24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1
The prime factors of 384 are 2 and 3.
The prime factorization of 384 is: 27 × 3.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 384 is divided by 2 to get 192.
Step 2: Now divide 192 by 2 to get 96.
Step 3: Then divide 96 by 2 to get 48.
Step 4: Divide 48 by 2 to get 24.
Step 5: Divide 24 by 2 to get 12.
Step 6: Divide 12 by 2 to get 6.
Step 7: Divide 6 by 2 to get 3. Here, 3 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 384 is: 27 × 3.
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 384: (1, 384), (2, 192), (3, 128), (4, 96), (6, 64), (8, 48), (12, 32), and (16, 24).
Negative factor pairs of -384: (-1, -384), (-2, -192), (-3, -128), (-4, -96), (-6, -64), (-8, -48), (-12, -32), and (-16, -24).
Common Mistakes and How to Avoid Them in Factors of -384
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every whole number. Always remember to include 1 and the number itself.
For example, in factors of 384, 1 and 384 are also factors.
Factors of -384 Examples
Problem 1
A company has -384 income units to distribute among 8 departments. How many units will each department get?
Each department will receive -48 income units.
Explanation
To divide the income units equally, divide the total units by the number of departments.
-384/8 = -48
Problem 2
A piece of land has an area of 384 square meters. If its length is 24 meters, what is its width?
16 meters.
Explanation
To find the width of the land, use the formula, Area = length × width
384 = 24 × width
To find the value of the width, shift 24 to the left side.
384/24 = width
Width = 16.
Problem 3
There are 32 bags and -384 items. How many items will be in each bag?
Each bag will have -12 items.
Explanation
To find the items in each bag, divide the total items by the number of bags.
-384/32 = -12
Problem 4
A school has 64 students and needs to distribute -384 books among them. How many books will each student get?
Each student will receive -6 books.
Explanation
Dividing the books by the total number of students gives the number of books per student.
-384/64 = -6
Problem 5
A library needs to arrange -384 books into 48 shelves. How many books will go on each shelf?
Each shelf will have -8 books.
Explanation
Divide total books by shelves.
-384/48 = -8
FAQs on Factors of -384
1.What are the factors of -384?
2.Mention the prime factors of 384.
3.Is 384 a multiple of 8?
4.Mention the factor pairs of -384?
5.What is the cube of 384?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of -384?
7.What are some fun ways kids in United Arab Emirates can practice Factors of -384 with numbers?
8.What role do numbers and Factors of -384 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 -384 skills?
Important Glossaries for Factors of -384
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -384 are 1, 2, 3, etc., and their negative counterparts.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 384.
- 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 -384 are (1, 384), (2, 192), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 384 is 27 × 3.
- Negative factors: Factors that are negative numbers, which divide the original number without leaving a remainder. For example, -1, -2, -3, etc., are negative factors of -384.
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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.
