Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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).
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 12 teams and 1032 participants. How will they divide it equally?
They will get 86 participants each.
To divide the participants equally, we need to divide the total participants with the number of teams.
1032/12 = 86
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.
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.
There are 258 students and 1032 books. How many books will each student get?
Each student will get 4 books.
To find the books each student gets, divide the total books by the number of students.
1032/258 = 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.
Dividing the tasks by the total teams, we will get the number of tasks for each team.
1032/8 = 129
1032 chairs need to be arranged in 6 rows. How many chairs will go in each row?
Each of the rows has 172 chairs.
Divide total chairs by rows. 1032/6 = 172
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.
: She loves to read number jokes and games.