122 LearnersLast updated on May 26th, 2025
Factors of 1033
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.
What are the Factors of 1033?
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
How to Find Factors of 1033?
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 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.
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 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.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
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 1033, 1 and 1033 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1033 include -1 and -1033.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor is incorrect because 1033/1.5 ≠ a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 1033 are prime numbers. In fact, 1033 is a prime number, so its only factors are 1 and 1033.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, since 1033 is a prime number, its factorization is simply 1033 × 1.
Factors of 1033 Examples
Problem 1
There are 1033 apples and 1 basket. How will they divide it equally?
All 1033 apples will go into the basket.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1033/1 = 1033
Problem 2
A rectangular plot has a length of 1033 meters and the total area is 1033 square meters. What is the width?
1 meter.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1033 = 1033 × width
Width = 1033/1033
Width = 1.
Problem 3
There are 1033 books and 1 library shelf. How many books will be on the shelf?
All 1033 books will be on the shelf.
Explanation
To find the books on the shelf, divide the total books by the shelf.
1033/1 = 1033
Problem 4
A company has 1033 employees and 1 project. How many employees will work on the project?
All 1033 employees will work on the project.
Explanation
Dividing the employees by the total projects, we will get the number of employees per project.
1033/1 = 1033
FAQs on Factors of 1033
1.What are the factors of 1033?
2.Mention the prime factors of 1033.
3.Is 1033 a multiple of 1?
4.Mention the factor pair of 1033?
5.Is 1033 a prime number?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1033?
7.What are some fun ways kids in Thailand can practice Factors of 1033 with numbers?
8.What role do numbers and Factors of 1033 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1033 skills?
Important Glossaries for Factors of 1033
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1033 are 1 and 1033.
- Prime number: A number that has no other divisors besides 1 and itself. 1033 is a prime number.
- Prime factorization: Expressing a number as the product of its prime factors. For 1033, it is 1033 × 1.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For 1033, the factor pair is (1, 1033).
- Negative factors: Factors that are negative and divide the number evenly. For 1033, they are -1 and -1033.
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About BrightChamps in Thailand
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.
