121 LearnersLast updated on May 26th, 2025
Factors of 1032
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 1032, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1032?
The numbers that divide 1032 evenly are known as factors of 1032.
A factor of 1032 is a number that divides the number without remainder.
The factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, and 1032.
Negative factors of 1032: -1, -2, -3, -4, -6, -8, -12, -24, -43, -86, -129, -172, -258, -344, -516, and -1032.
Prime factors of 1032: 2, 3, and 43.
Prime factorization of 1032: (23 times 3 times 43).
The sum of factors of 1032: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 43 + 86 + 129 + 172 + 258 + 344 + 516 + 1032 = 2640
How to Find Factors of 1032?
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 1032. Identifying the numbers which are multiplied to get the number 1032 is the multiplication method.
Step 1: Multiply 1032 by 1, 1032 × 1 = 1032.
Step 2: Check for other numbers that give 1032 after multiplying
2 × 516 = 1032
3 × 344 = 1032
4 × 258 = 1032
6 × 172 = 1032
8 × 129 = 1032
12 × 86 = 1032
24 × 43 = 1032
Therefore, the positive factor pairs of 1032 are: (1, 1032), (2, 516), (3, 344), (4, 258), (6, 172), (8, 129), (12, 86), and (24, 43). All these factor pairs result in 1032. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1032 by 1, 1032 ÷ 1 = 1032.
Step 2: Continue dividing 1032 by the numbers until the remainder becomes 0.
1032 ÷ 1 = 1032
1032 ÷ 2 = 516
1032 ÷ 3 = 344
1032 ÷ 4 = 258
1032 ÷ 6 = 172
1032 ÷ 8 = 129
1032 ÷ 12 = 86
1032 ÷ 24 = 43
Therefore, the factors of 1032 are: 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032.
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 1032 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1032 ÷ 2 = 516
516 ÷ 2 = 258
258 ÷ 2 = 129
129 ÷ 3 = 43
43 ÷ 43 = 1
The prime factors of 1032 are 2, 3, and 43.
The prime factorization of 1032 is: (23 times 3 times 43).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1032 is divided by 2 to get 516.
Step 2: Now divide 516 by 2 to get 258.
Step 3: Then divide 258 by 2 to get 129.
Step 4: Divide 129 by 3 to get 43. Here, 43 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1032 is: (23 times 3 times 43).
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 1032: (1, 1032), (2, 516), (3, 344), (4, 258), (6, 172), (8, 129), (12, 86), and (24, 43).
Negative factor pairs of 1032: (-1, -1032), (-2, -516), (-3, -344), (-4, -258), (-6, -172), (-8, -129), (-12, -86), and (-24, -43).
Common Mistakes and How to Avoid Them in Factors of 1032
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 1032, 1 and 1032 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1032 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1032/1.5 ≠ 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 1032 are prime numbers.
For example, 2, 3, and 43 are the prime factors of 1032, but it has other factors like 4 and 172.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1032 as \(2^3 \times 3 \times 43\) and missing all the key factors.
Factors of 1032 Examples
Problem 1
There are 12 teams and 1032 participants. How will they divide it equally?
They will get 86 participants each.
Explanation
To divide the participants equally, we need to divide the total participants with the number of teams.
1032/12 = 86
Problem 2
A park is rectangular, the length of the park is 43 meters and the total area is 1032 square meters. Find the width?
24 meters.
Explanation
To find the width of the park, we use the formula,
Area = length × width
1032 = 43 × width
To find the value of width, we need to shift 43 to the left side.
1032/43 = width
Width = 24.
Problem 3
There are 258 students and 1032 books. How many books will each student get?
Each student will get 4 books.
Explanation
To find the books each student gets, divide the total books by the number of students.
1032/258 = 4
Problem 4
In an office, there are 1032 tasks and 8 teams. How many tasks are there for each team?
There are 129 tasks for each team.
Explanation
Dividing the tasks by the total teams, we will get the number of tasks for each team.
1032/8 = 129
Problem 5
1032 chairs need to be arranged in 6 rows. How many chairs will go in each row?
Each of the rows has 172 chairs.
Explanation
Divide total chairs by rows. 1032/6 = 172
FAQs on Factors of 1032
1.What are the factors of 1032?
2.Mention the prime factors of 1032.
3.Is 1032 a multiple of 258?
4.Mention the factor pairs of 1032.
5.What is the square of 1032?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1032?
7.What are some fun ways kids in United Kingdom can practice Factors of 1032 with numbers?
8.What role do numbers and Factors of 1032 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1032 skills?
Important Glossaries for Factors of 1032
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, and 1032.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 43 are prime factors of 1032.
- 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 1032 are (1, 1032), (2, 516), etc.
- Prime factorization: The process of breaking down a number into its basic prime number factors. For example, the prime factorization of 1032 is (23 times 3 times 43).
- Multiple: A number that can be divided by another number without a remainder. For example, 1032 is a multiple of 258.
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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.
