100 LearnersLast updated on May 26th, 2025
Factors of -288
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 -288, how they are used in real life, and tips to learn them quickly.
What are the Factors of -288?
The numbers that divide -288 evenly are known as factors of -288.
A factor of -288 is a number that divides the number without remainder.
The factors of -288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, and 288.
Negative factors of -288: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -72, -96, -144, and -288.
Prime factors of -288: 2 and 3.
Prime factorization of -288: 25 × 32.
The sum of factors of 288: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 48 + 72 + 96 + 144 + 288 = 975
How to Find Factors of -288?
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 288. Identifying the numbers which are multiplied to get the number 288 is the multiplication method.
Step 1: Multiply 288 by 1, 288 × 1 = 288.
Step 2: Check for other numbers that give 288 after multiplying
2 × 144 = 288
3 × 96 = 288
4 × 72 = 288
6 × 48 = 288
8 × 36 = 288
9 × 32 = 288
12 × 24 = 288
16 × 18 = 288
Therefore, the positive factor pairs of 288 are: (1, 288), (2, 144), (3, 96), (4, 72), (6, 48), (8, 36), (9, 32), (12, 24), (16, 18).
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 288 by 1, 288 ÷ 1 = 288.
Step 2: Continue dividing 288 by the numbers until the remainder becomes 0.
288 ÷ 1 = 288
288 ÷ 2 = 144
288 ÷ 3 = 96
288 ÷ 4 = 72
288 ÷ 6 = 48
288 ÷ 8 = 36
288 ÷ 9 = 32
288 ÷ 12 = 24
288 ÷ 16 = 18
Therefore, the factors of 288 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288.
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 288 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
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 288 are 2 and 3.
The prime factorization of 288 is: 25 × 32.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 288 is divided by 2 to get 144.
Step 2: Now divide 144 by 2 to get 72.
Step 3: Then divide 72 by 2 to get 36.
Step 4: Divide 36 by 2 to get 18.
Step 5: Divide 18 by 2 to get 9.
Step 6: Divide 9 by 3 to get 3. Here, 3 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 288 is: 25 × 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 288: (1, 288), (2, 144), (3, 96), (4, 72), (6, 48), (8, 36), (9, 32), (12, 24), (16, 18).
Negative factor pairs of 288: (-1, -288), (-2, -144), (-3, -96), (-4, -72), (-6, -48), (-8, -36), (-9, -32), (-12, -24), (-16, -18).
Common Mistakes and How to Avoid Them in Factors of -288
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 288, 1 and 288 are also factors.
Factors of -288 Examples
Problem 1
A recipe needs 288 grams of flour to make a batch of cookies. If you want to make 9 batches, how much flour will you need?
You will need 2592 grams of flour.
Explanation
To find the total amount of flour needed, multiply the flour for one batch by the number of batches.
288 × 9 = 2592
Problem 2
A rectangular garden has a width of 12 meters and an area of 288 square meters. Find the length.
24 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
288 = length × 12
To find the value of length, we need to shift 12 to the left side.
288/12 = length
Length = 24.
Problem 3
There are 32 pieces of fabric, and each piece is 9 meters long. What is the total length of fabric?
The total length of fabric is 288 meters.
Explanation
To find the total fabric length, multiply the number of pieces by the length of each piece.
32 × 9 = 288
Problem 4
A factory produces 48 widgets every hour. How many widgets does the factory produce in 6 hours?
The factory produces 288 widgets in 6 hours.
Explanation
To find the total production, multiply the hourly production by the number of hours.
48 × 6 = 288
Problem 5
A rope of 288 meters is divided into 18 equal parts. What is the length of each part?
Each part is 16 meters long.
Explanation
To find the length of each part, divide the total length by the number of parts.
288/18 = 16
FAQs on Factors of -288
1.What are the factors of -288?
2.Mention the prime factors of -288.
3.Is -288 a multiple of 9?
4.Mention the factor pairs of -288?
5.What is the square of -288?
6.How can children in Australia use numbers in everyday life to understand Factors of -288?
7.What are some fun ways kids in Australia can practice Factors of -288 with numbers?
8.What role do numbers and Factors of -288 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of -288 skills?
Important Glossaries for Factor of -288
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -288 are 1, 2, 3, 4, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of -288.
- 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 -288 are (1, 288), (2, 144), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of -288 is 25 × 32.
- Negative factors: These are the negative counterparts of the positive factors. For example, the negative factors of -288 are -1, -2, -3, etc.
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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.
Fun Fact
: She loves to read number jokes and games.
