Last updated on May 26th, 2025
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 1033, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1033 evenly are known as factors of 1033.
A factor of 1033 is a number that divides the number without a remainder.
The factors of 1033 are 1 and 1033.
Negative factors of 1033: -1 and -1033.
Prime factors of 1033: 1033 (since 1033 is a prime number).
Prime factorization of 1033: 1033 × 1.
The sum of factors of 1033: 1 + 1033 = 1034
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 1033. Identifying the numbers which are multiplied to get the number 1033 is the multiplication method.
Step 1: Multiply 1033 by 1, 1033 × 1 = 1033.
Step 2: Check for other numbers that give 1033 after multiplying.
Since 1033 is a prime number, no other multiplication pairs exist.
Therefore, the positive factor pair of 1033 is: (1, 1033). 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 as whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1033 by 1, 1033 ÷ 1 = 1033.
Step 2: Continue dividing 1033 by other numbers, but since 1033 is a prime number, only 1033 ÷ 1033 = 1 gives a whole number.
Therefore, the factors of 1033 are: 1 and 1033.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1033 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. Since 1033 is a prime number:
The prime factorization of 1033 is: 1033 × 1.
The factor tree is the graphical representation of breaking down any number into prime factors. For a prime number like 1033, the tree is simple:
Step 1: 1033 is only divisible by 1 and itself. So, the prime factorization of 1033 is: 1033 × 1.
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 pair of 1033: (1, 1033).
Negative factor pair of 1033: (-1, -1033).
Mistakes are common while finding factors. We can identify and correct these mistakes using the following common mistakes and the ways to avoid them.
There are 1033 apples and 1 basket. How will they divide it equally?
All 1033 apples will go into the basket.
To divide the apples equally, we need to divide the total apples by the number of baskets.
1033/1 = 1033
A rectangular plot has a length of 1033 meters and the total area is 1033 square meters. What is the width?
1 meter.
To find the width of the plot, we use the formula,
Area = length × width
1033 = 1033 × width
Width = 1033/1033
Width = 1.
There are 1033 books and 1 library shelf. How many books will be on the shelf?
All 1033 books will be on the shelf.
To find the books on the shelf, divide the total books by the shelf.
1033/1 = 1033
A company has 1033 employees and 1 project. How many employees will work on the project?
All 1033 employees will work on the project.
Dividing the employees by the total projects, we will get the number of employees per project.
1033/1 = 1033
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.