220 LearnersLast updated on May 26th, 2025
Factors of 384
What's your say about the factors of 384? Factors are essentially numbers that can be multiplied together to give an original number. In other words, finding those perfect pairs that go into making 384 without leaving remainders.
What are the factors of 384?
Similarly, as we learned above, factors of 384 are such numbers that will be multiplied to get 384. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.
384 has only fifteen factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384.
Negative factors of 384: Negative factors are nothing but the negative counterparts of the position factors of a number.
Since 384 has sixteen positive factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192,and 384, it will also have four negative counterparts, which are -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -64, -96, -128, -192 and -384.
Prime factors of 384: Since 384 is a composite number, it has 2 and 3 as its prime factor.
Prime factorization of 384: Prime factorization of a number is the method of expressing 384 as a product of prime factors.
The prime factorization of 384 = 27 × 3
How to find the factors of 384
There are several ways of finding factors of 384. We will learn about them one by one as we go on.
Finding factors using multiplication
In this method, we will try to find such a pair of numbers that will give 384 as their product. We recommend that you should follow the following steps to find factors using multiplication.
Step 1: Always look for a pair of numbers whose product is 384.
Step 2: After finding such pairs, list them all one by one.
Here, factor pairs of 384 are (1, 384), (2, 192), (3, 128), (4, 96), (6, 64), (8, 48), (12,32) and (16,24).
So the factors of 384 are 1, 2, 3, 4, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192,and 384
Finding factors by division method
In the method, we need to find such numbers that divide 384 completely without leaving any remainder.
384/1 = 384
384/ 2 = 89
384/ 3 = 128
384/ 4 = 96
384/ 8 = 48
384/ 12 = 32
384/ 16 = 24
384/ 24 = 16
384/ 32 = 12
384/ 48 = 8
384/ 64 = 6
384/ 96= 4
384/ 128 = 3
384/ 192 = 2
384/ 384 = 1
All the 16 numbers: 1, 2, 3, 4, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384 mentioned above divide 384 completely without any remainder. Hence, they are factors of 384.
Prime Factors and Prime Factorization
In the prime factorization method, a number is expressed as the product of prime factors.
Here, as we know, 384 = 27 × 3
27 and 3 are the prime factors when multiplied together will give 384 as a product of the multiplication.
Factor tree
A factor tree is a graphical representation of factors of any number. In the diagram, each branch represents the prime factors a number has.
Factor Pairs
The factor pairs of a number refer to a pair of numbers which, when multiplied, will give the number as a product.
The factor pairs of 384 are (1, 384) (1, 384), (2, 192), (3, 128), (4, 96), (6, 64), (8, 48), (12,32) and (16,24).
Positive Pair Factors of 384 are (1, 384), (2, 192), (3, 128), (4, 96), (6, 64), (8, 48), (12,32) and (16,24).
Negative Pair Factors of 384 are (-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
There are some errors that a child is bound to commit while discovering the factors of 384. Let us know what error a child is likely to commit.
Mistake 1
A child might consider only the prime factors and leave other factors.
A child might consider only the prime factors and leave other factors.
Factors of 384 examples
Problem 1
What two factors should be removed to make 384 a perfect square?
2 and 3 should be removed to make it a perfect square.
Explanation
If we remove a 2 and a 3 then we will be left with 26,which is a perfect square
Problem 2
Verify that 32 is a factor of 384 by dividing 384 by 32.
Yes, 32 is a factor of 384.
Explanation
Divide 384 by 32, and we get a whole number without leaving a remainder. So, 32 is a factor of 384.
Problem 3
Prove that 15 is not a factor of 384?
15 is not a factor of 384.
Explanation
We know that 15= 3 × 5 and 384= 27 × 3. For 15 to be a factor, we need 5 to be a factor of a number, and 384 does not have 5 as a factor. So,15 is not a factor of 384.
Problem 4
Calculate the number of factors of 384 by using the prime factorization method ?
There are 16 factors of 384.
Explanation
The prime factorization of 384= 27 × 3. Now we will add 1 to the power of the prime factors 2 and 3 and multiply. (7 + 1) * (1 + 1) = 16 factors.
Problem 5
Find the greatest common factor between 384 and 48.
48 is the greatest common factor between 384 and 48.
Explanation
Here, 384= 27 × 3 and 48= 24 × 3. Since, 24 × 3 is also in 27 × 3, 48 is the greatest common factor between 384 and 48.
FAQs on factors of 384
1.What is the lowest number that would divide 384 evenly?
2.Since 384 is divisible by 3, is it divisible by 6 ?
3.What is the number that is equal to its own cube?
4. What number is a multiple of every number ?
5. What is the highest number of multiples a number can have?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 384 ?
7.What are some fun ways kids in Vietnam can practice Factors of 384 with numbers?
8.What role do numbers and Factors of 384 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 384 skills?
Important Glossaries for Factors of 384
- Prime Numbers: Those numbers which have no other factors other than 1 & the number itself.
- Composite Numbers: Those numbers that have more than 2 factors.
- Negative Factors: These are the counterparts of the positive factors of a number.
- Prime Factorization: Process of breaking down a composite number into products of several of its prime factors.
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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.
