252 LearnersLast updated on May 26th, 2025
Factors of 432
A number that can divide another number evenly without leaving any remainder is called a factor. Factors are useful in many real-life situations, such as construction, where it is used to determine the dimensions of materials to avoid waste. Next, let's discuss the factors of 432.
What are the Factors of 432?
Prime numbers have exactly two factors, which are 1 and the number itself. Composite numbers have more than two factors. Now, let us learn more about the factors of 432.
Negative factors of 432: (-1, -432), (-2, -216), (-3, -144), (-4, -108), (-6, -72), (-8, -54), (-9, -48), (-12, -36), (-16,-27), (-18, -24)
Prime factors of 432: 2 and 3
Prime factorization of 432: 24 × 33
The sum of factors of 432: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 36 + 48 + 54 + 72 +108 +144 + 216 + 432 = 1240.
How to Find the Factors of 432?
For finding factors, school kids use different methods for easy calculation. A few commonly used methods are as follows:
- Use of Multiplication Method
- Use of Division Method
- Use of Prime Factors and Prime Factorization.
So, here we discuss a detailed explanation of the following methods:
Finding Factors Using Multiplication Method
So in the multiplication method, we will try to find out what numbers will multiply together, and give us the value 432. We will check the factors step by step:
Step 1: Start to multiply with numbers, which gives the value of 432.
Start with 1, and continue to multiply with other numbers.
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 = 432
Step 2: After the calculation, we get these numbers, the factors of 432.
Step 3: The positive factor pairs of 432 found through multiplication are (1, 432), (2, 216), (3,144), (4, 108) (6, 72), (8, 54), (9, 48), (12, 36), (16, 27), and (18, 24)
Step 4: The negative factor pairs of 432 are (-1, -432), (-2, -216), (-3,-144), (-4, -108) (-6, -72), (-8, -54), (-9,-48), (-12, -36) (-16,-27), and (-18, -24)
Finding Factors Using Division Method
Using this method we will break down the given number till our remainder is zero. Let us go through the step-by-step process to find the factors of 432:
Step 1: Divide 432 by smaller numbers and see if there is any remainder. E.g., 432/1 = 432.
Step 2: We will continue in the same way and check for other numbers as well. For 432, the factors are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432 . Because 432 can be divided evenly by these numbers.
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
Prime Factors and Prime Factorization
By Using Prime Factorization: When using this method, the number is divided by its prime numbers until it is completely factored.
2 is the smallest prime number, so start dividing with two. And then continue to divide with other prime numbers.
432 ÷ 2=216
216÷ 2=108
108 ÷ 2=54
54 ÷ 2=27
27 ÷ 3=9
9 ÷ 3=3
3 ÷ 3=1
The prime factorization of 432 is :432 = 24 × 33
Finally, using the prime factorization method, the prime factors of 432 are 2 and 3.
Using Factor Tree
A factor tree is a visual representation of breaking a number into its prime factors. It is an easy and simple way to present the factors.
Step 1: 432 divided by 2 gives us the answer 216
Step 2: Since 216 is not a prime number, it can be divided further.
The prime factorization of 432 is written below : 432 = 24 × 33
Factor Pairs Of 432
Every number has either a positive or negative factor. Let us look at those sets of factors.
Positive pair Factors: (1, 432), (2, 216), (3,144), (4, 108) (6, 72), (8, 54), (9,48), (12, 36) (16,27), (18, 24)
Negative pair Factors: (-1, -432), (-2, -216), (-3,-144), (-4, -108) (-6, -72), (-8, -54), (-9,-48), (-12, -36) (-16,-27), (-18, -24)
Common Mistakes and How to Avoid Them in Factors Of 432
Children tend to make mistakes while finding the factors of a number. Let us look at how to avoid those mistakes.
Mistake 1
Confusing Factors with Multiples
The factors can divide a number exactly, whereas multiples are the product of multiplying the number by whole numbers. For example for 12, the factors are 1, 2, 3, 4, 6, and 12. And the multiples are 12, 24, and 36, etc… To avoid this confusion, always understand the concept separately.
Factors Of 432 Examples
Problem 1
Mini has a bundle of 432 pens, and she wants to divide them equally between two friends. How many pens will each friend get?
Each friend receives 216 pens.
Explanation
Divide the total number of pens by a possible number. Start by dividing the pens by 2, where we have 2 friends:
432 ÷ 2 = 216.
Therefore, each friend will get 216 pens, with no remaining pens.
Problem 2
Lisa wants to calculate the even factors of 420, How we can help her calculate the answer?
The even factors of 420 are 2, 4, 6, 10, 12, 14, 20, 28, 30, 42, 60, 70, 84, 140, 210, and 420.
Explanation
The above-mentioned are the even factors of 420. The following steps can help Lisa calculate the answer:
Step 1: List out the factors of 420
Factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, and 420.
Step 2: Exact the even factors of 420.
Even factors of 420 = 2, 4, 6, 10, 12, 14, 20, 28, 30, 42, 60, 70, 84, 140, 210, and 420.
∴ The even factors of 432 are 2, 4, 6, 10, 12, 14, 20, 28, 30, 42, 60, 70, 84, 140, 210, 420.
Problem 3
A library has 432 identical books on a certain topic. The librarian wants to place these books equally on 6 different shelves. Find, how many books will each shelf can arrange.
Each self contains 72 books.
Explanation
To find, the number of books each shelf will hold, divide the total number of books by the total number of shelves.
No. Of books = 432
No. Of shelves = 6
Divide 432 by 6: 432 ÷ 6 = 72.
Therefore, each shelf will hold 72 books.
FAQs on Factors Of 432
1.What are the factors of 432?
2.What is the factorization method of 432?
3.Is 432 a perfect square?
4.What are the numbers, 432 divisible by?
5.What are the multiples of 432?
6.How can children in Qatar use numbers in everyday life to understand Factors of 432?
7.What are some fun ways kids in Qatar can practice Factors of 432 with numbers?
8.What role do numbers and Factors of 432 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 432 skills?
Important Glossaries For Factors Of 432
- Factors: The factors of numbers are complete numbers, that can be divided into another number evenly without remainder. Like 6 is divisible by 1, 2, 3, and 6, therefore, 1, 2, 3, and 6 are the factors of 6.
- Prime Factors: Prime numbers that divide a given number evenly. For 432, the prime factors are 2 and 3.
- Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).
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About BrightChamps in Qatar
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.
