130 LearnersLast updated on May 26th, 2025
Factors of 1432
Factors are the numbers that divide any given number evenly without a 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 1432, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1432?
The numbers that divide 1432 evenly are known as factors of 1432.
A factor of 1432 is a number that divides the number without a remainder.
The factors of 1432 are 1, 2, 4, 8, 179, 358, 716, and 1432.
Negative factors of 1432: -1, -2, -4, -8, -179, -358, -716, and -1432.
Prime factors of 1432: 2 and 179.
Prime factorization of 1432: 2^3 × 179.
The sum of factors of 1432: 1 + 2 + 4 + 8 + 179 + 358 + 716 + 1432 = 2700
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How to Find Factors of 1432?
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 1432. Identifying the numbers which are multiplied to get the number 1432 is the multiplication method.
Step 1: Multiply 1432 by 1, 1432 × 1 = 1432.
Step 2: Check for other numbers that give 1432 after multiplying:
2 × 716 = 1432
4 × 358 = 1432
8 × 179 = 1432
Therefore, the positive factor pairs of 1432 are: (1, 1432), (2, 716), (4, 358), (8, 179).
All these factor pairs result in 1432.
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 1432 by 1, 1432 ÷ 1 = 1432.
Step 2: Continue dividing 1432 by the numbers until the remainder becomes 0.
1432 ÷ 1 = 1432
1432 ÷ 2 = 716
1432 ÷ 4 = 358
1432 ÷ 8 = 179
Therefore, the factors of 1432 are: 1, 2, 4, 8, 179, 358, 716, 1432.
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 1432 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1432 ÷ 2 = 716
716 ÷ 2 = 358
358 ÷ 2 = 179
179 ÷ 179 = 1
The prime factors of 1432 are 2 and 179.
The prime factorization of 1432 is: 2^3 × 179.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1432 is divided by 2 to get 716.
Step 2: Now divide 716 by 2 to get 358.
Step 3: Then divide 358 by 2 to get 179.
Here, 179 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1432 is: 2^3 × 179.
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 1432: (1, 1432), (2, 716), (4, 358), (8, 179).
Negative factor pairs of 1432: (-1, -1432), (-2, -716), (-4, -358), (-8, -179).
Common Mistakes and How to Avoid Them in Factors of 1432
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 1432, 1 and 1432 is also a factor.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1432 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor is incorrect because 1432/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1432 are prime numbers. While 2 and 179 are prime factors of 1432, it has other factors like 4 and 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1432 as 2^3 × 179 and missing the key factors.
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Factors of 1432 Examples
Problem 1
A group of friends wants to distribute 1432 candies equally. If each friend gets 179 candies, how many friends are there?
There are 8 friends.
Explanation
To divide the candies equally, we need to divide the total candies by the number of candies per friend.
1432/179 = 8
Problem 2
A rectangular garden has a length of 8 meters and a total area of 1432 square meters. What is the width of the garden?
179 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1432 = 8 × width
To find the value of width, we need to shift 8 to the left side.
1432/8 = width
Width = 179.
Problem 3
There are 4 containers and 1432 liters of water. How many liters will be in each container?
Each container will have 358 liters.
Explanation
To find the water in each container, divide the total water by the number of containers.
1432/4 = 358
Problem 4
A theater has 1432 seats and is divided into 2 sections. How many seats are there in each section?
There are 716 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1432/2 = 716
Problem 5
1432 books need to be arranged in 8 shelves. How many books will go on each shelf?
Each of the shelves has 179 books.
Explanation
Divide total books by shelves.
1432/8 = 179
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FAQs on Factors of 1432
1.What are the factors of 1432?
2.Mention the prime factors of 1432.
3.Is 1432 a multiple of 4?
4.Mention the factor pairs of 1432?
5.What is the square of 1432?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1432?
7.What are some fun ways kids in Indonesia can practice Factors of 1432 with numbers?
8.What role do numbers and Factors of 1432 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1432 skills?
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Important Glossaries for Factor of 1432
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1432 are 1, 2, 4, 8, 179, 358, 716, and 1432.
- Prime factors: The factors which are prime numbers. For example, 2 and 179 are prime factors of 1432.
- 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 1432 are (1, 1432), (2, 716), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1432 is 2^3 × 179.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to give the original number, such as finding factors of 1432 by multiplication pairs.
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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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