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 1023, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1023 evenly are known as factors of 1023.
A factor of 1023 is a number that divides the number without remainder.
The factors of 1023 are 1, 3, 11, 31, 33, 93, 341, and 1023.
Negative factors of 1023: -1, -3, -11, -31, -33, -93, -341, and -1023.
Prime factors of 1023: 3, 11, and 31.
Prime factorization of 1023: 3 × 11 × 31.
The sum of factors of 1023: 1 + 3 + 11 + 31 + 33 + 93 + 341 + 1023 = 1536
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 1023. Identifying the numbers which are multiplied to get the number 1023 is the multiplication method.
Step 1: Multiply 1023 by 1, 1023 × 1 = 1023.
Step 2: Check for other numbers that give 1023 after multiplying
3 × 341 = 1023
11 × 93 = 1023
31 × 33 = 1023
Therefore, the positive factor pairs of 1023 are: (1, 1023), (3, 341), (11, 93), (31, 33). All these factor pairs result in 1023. For every positive factor, there is a negative factor.
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 1023 by 1, 1023 ÷ 1 = 1023.
Step 2: Continue dividing 1023 by the numbers until the remainder becomes 0.
1023 ÷ 1 = 1023
1023 ÷ 3 = 341
1023 ÷ 11 = 93
1023 ÷ 31 = 33
Therefore, the factors of 1023 are: 1, 3, 11, 31, 33, 93, 341, 1023.
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 1023 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1023 ÷ 3 = 341
341 ÷ 11 = 31
31 ÷ 31 = 1
The prime factors of 1023 are 3, 11, and 31.
The prime factorization of 1023 is: 3 × 11 × 31.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1023 is divided by 3 to get 341.
Step 2: Now divide 341 by 11 to get 31.
Step 3: Divide 31 by 31 to get 1. Here, 31 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1023 is: 3 × 11 × 31.
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 1023: (1, 1023), (3, 341), (11, 93), and (31, 33).
Negative factor pairs of 1023: (-1, -1023), (-3, -341), (-11, -93), and (-31, -33).
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 3 teams and 1023 participants. How will they divide the participants equally?
Each team will have 341 participants.
To divide the participants equally, we need to divide the total participants by the number of teams.
1023/3 = 341
A rectangular garden has a length of 11 meters and a total area of 1023 square meters. Find the width?
93 meters.
To find the width of the garden, we use the formula,
Area = length × width
1023 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1023/11 = width
Width = 93.
There are 31 tables and 1023 chairs. How many chairs will be at each table?
Each table will have 33 chairs.
To find the chairs at each table, divide the total chairs by the tables.
1023/31 = 33
In a school event, there are 1023 participants, and 11 groups. How many participants are there in each group?
There are 93 participants in each group.
Dividing the participants by the total groups, we will get the number of participants in each group.
1023/11 = 93
1023 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 341 books.
Divide total books by shelves.
1023/3 = 341
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.