102 LearnersLast updated on May 26th, 2025
Factors of -576
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 -576, how they are used in real life, and the tips to learn them quickly.
What are the Factors of -576?
The numbers that divide -576 evenly are known as factors of -576.
A factor of -576 is a number that divides the number without remainder.
The factors of -576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576, and their negatives.
Negative factors of -576: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -64, -72, -96, -144, -192, -288, -576.
Prime factors of -576: 2 and 3.
Prime factorization of -576: 26 × 32.
The sum of factors of 576 (ignoring the sign): 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 48 + 64 + 72 + 96 + 144 + 192 + 288 + 576 = 1680
How to Find Factors of -576?
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 -576. Identifying the numbers which are multiplied to get the number -576 is the multiplication method.
Step 1: Multiply -576 by 1, -576 × 1 = -576.
Step 2: Check for other numbers that give -576 after multiplying
2 × -288 = -576
3 × -192 = -576
4 × -144 = -576
6 × -96 = -576
8 × -72 = -576
12 × -48 = -576
16 × -36 = -576
18 × -32 = -576
24 × -24 = -576
Therefore, the positive factor pairs of -576 are: (1, -576), (2, -288), (3, -192), (4, -144), (6, -96), (8, -72), (12, -48), (16, -36), (18, -32), (24, -24).
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 -576 by 1, -576 ÷ 1 = -576.
Step 2: Continue dividing -576 by the numbers until the remainder becomes 0.
-576 ÷ 1 = -576
-576 ÷ 2 = -288
-576 ÷ 3 = -192
-576 ÷ 4 = -144
-576 ÷ 6 = -96
-576 ÷ 8 = -72
-576 ÷ 9 = -64
-576 ÷ 12 = -48
-576 ÷ 16 = -36
-576 ÷ 18 = -32
-576 ÷ 24 = -24
Therefore, the factors of -576 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 -576 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
576 ÷ 2 = 288
288 ÷ 2 = 144
144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of -576 are 2 and 3.
The prime factorization of -576 is: 26 × 32.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 576 is divided by 2 to get 288.
Step 2: Now divide 288 by 2 to get 144.
Step 3: Then divide 144 by 2 to get 72.
Step 4: Divide 72 by 2 to get 36.
Step 5: Divide 36 by 2 to get 18.
Step 6: Divide 18 by 2 to get 9.
Step 7: Divide 9 by 3 to get 3.
Step 8: Divide 3 by 3 to get 1. Here, 3 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of -576 is: 26 × 32.
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 -576: (1, -576), (2, -288), (3, -192), (4, -144), (6, -96), (8, -72), (12, -48), (16, -36), (18, -32), (24, -24).
Negative factor pairs of -576: (-1, 576), (-2, 288), (-3, 192), (-4, 144), (-6, 96), (-8, 72), (-12, 48), (-16, 36), (-18, 32), (-24, 24).
Common Mistakes and How to Avoid Them in Factors of -576
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -576, 1 and -576 are also factors.
Factors of -576 Examples
Problem 1
There are 24 teams and -576 points. If the points are to be distributed equally, how many points will each team get?
Each team will have -24 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
-576/24 = -24
Problem 2
A rectangular garden has a length of 16 meters and a total area of 576 square meters. Find the width.
36 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
576 = 16 × width
To find the value of width, we need to shift 16 to the left side.
576/16 = width
Width = 36.
Problem 3
There are 48 boxes and -576 candies. How many candies will be in each box?
Each box will have -12 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
-576/48 = -12
Problem 4
In a school, there are 72 students, and they collectively have -576 marbles. How many marbles will each student have?
Each student will have -8 marbles.
Explanation
Dividing the marbles by the total number of students, we will get the number of marbles each student will have.
-576/72 = -8
Problem 5
576 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each shelf will have 96 books.
Explanation
Divide total books by shelves.
576/6 = 96
FAQs on Factors of -576
1.What are the factors of -576?
2.Mention the prime factors of -576.
3.Is -576 a multiple of 9?
4.Mention the factor pairs of -576?
5.What is the square of -576?
6.How can children in Thailand use numbers in everyday life to understand Factors of -576?
7.What are some fun ways kids in Thailand can practice Factors of -576 with numbers?
8.What role do numbers and Factors of -576 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of -576 skills?
Important Glossaries for Factor of -576
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -576 are 1, 2, 3, 4, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of -576.
- 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 -576 are (1, -576), (2, -288), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For -576, it is 26 × 32.
- Negative factors: Factors that are negative integers, such as -1, -2, -3, for the number -576.
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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.
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