100 LearnersLast updated on May 26th, 2025
Factors of -432
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 -432, how they are used in real life, and tips to learn them quickly.
What are the Factors of -432?
The numbers that divide -432 evenly are known as factors of -432.
A factor of -432 is a number that divides the number without remainder.
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, and 432.
Negative factors of -432: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -36, -48, -54, -72, -108, -144, -216, and -432.
Prime factors of -432: 2 and 3.
Prime factorization of 432: 24 × 33.
The sum of the positive factors of 432: 1104
How to Find Factors of -432?
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 432. Identifying the numbers which are multiplied to get the number 432 is the multiplication method.
Step 1: Multiply 432 by 1, 432 × 1 = 432.
Step 2: Check for other numbers that give 432 after multiplying
2 × 216 = 432
3 × 144 = 432
4 × 108 = 432
6 × 72 = 432
8 × 54 = 432
9 × 48 = 432
12 × 36 = 432
16 × 27 = 432
18 × 24 = 432
Therefore, the positive factor pairs of 432 are: (1, 432), (2, 216), (3, 144), (4, 108), (6, 72), (8, 54), (9, 48), (12, 36), (16, 27), (18, 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 432 by 1, 432 ÷ 1 = 432.
Step 2: Continue dividing 432 by the numbers until the remainder becomes 0.
432 ÷ 1 = 432
432 ÷ 2 = 216
432 ÷ 3 = 144
432 ÷ 4 = 108
432 ÷ 6 = 72
432 ÷ 8 = 54
432 ÷ 9 = 48
432 ÷ 12 = 36
432 ÷ 16 = 27
432 ÷ 18 = 24
Therefore, the factors of 432 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.
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 432 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
432 ÷ 2 = 216
216 ÷ 2 = 108
108 ÷ 2 = 54
54 ÷ 2 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 432 are 2 and 3.
The prime factorization of 432 is: 24 × 33.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 432 is divided by 2 to get 216.
Step 2: Now divide 216 by 2 to get 108.
Step 3: Then divide 108 by 2 to get 54.
Step 4: Divide 54 by 2 to get 27.
Step 5: Divide 27 by 3 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 432 is: 2^4 × 3^3.
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 432: (1, 432), (2, 216), (3, 144), (4, 108), (6, 72), (8, 54), (9, 48), (12, 36), (16, 27), and (18, 24).
Negative factor pairs of -432: (-1, -432), (-2, -216), (-3, -144), (-4, -108), (-6, -72), (-8, -54), (-9, -48), (-12, -36), (-16, -27), and (-18, -24).
Common Mistakes and How to Avoid Them in Factors of -432
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 word. Always remember to include 1 and the number itself.
For example, in factors of 432, 1 and 432 are also factors.
Factors of -432 Examples
Problem 1
There are 108 people and -432 apples. How will they divide it equally?
They will receive -4 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people.
-432/108 = -4
Problem 2
A field is rectangular, the length of the field is 18 meters, and the total area is -432 square meters. Find the width.
-24 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width -432 = 18 × width
To find the value of width, we need to shift 18 to the left side.
-432/18 = width
Width = -24.
Problem 3
There are 54 bags and -432 marbles. How many marbles will be in each bag?
Each bag will have -8 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags. -432/54 = -8
Problem 4
In a class, there are 72 students, and -432 candies. How many candies are there for each student?
There are -6 candies for each student.
Explanation
Dividing the candies by the total number of students, we will get the number of candies for each student. -432/72 = -6
Problem 5
-432 books need to be arranged in 27 shelves. How many books will go on each shelf?
Each of the shelves has -16 books.
Explanation
Divide the total books by the number of shelves.
-432/27 = -16
FAQs on Factors of -432
1.What are the factors of -432?
2.Mention the prime factors of -432.
3.Is -432 a multiple of 9?
4.Mention the factor pairs of -432.
5.What is the square of 432?
6.How can children in India use numbers in everyday life to understand Factors of -432?
7.What are some fun ways kids in India can practice Factors of -432 with numbers?
8.What role do numbers and Factors of -432 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of -432 skills?
Important Glossaries for Factor of -432
- Factors: The numbers that divide a given number without leaving a remainder are called factors. For example, the factors of -432 are 1, 2, 3, 4, etc., and their negative counterparts.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 432.
- 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 -432 are (1, -432), (2, -216), etc.
- Factorization: The process of breaking down a number into its factors. For example, the factorization of 432 is 24 × 33.
- Multiples: Numbers that are the product of a number and an integer. For example, -432 is a multiple of 9.
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About BrightChamps in India
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.
