119 LearnersLast updated on May 26th, 2025
Factors of 1043
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 1043, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1043?
The numbers that divide 1043 evenly are known as factors of 1043.
A factor of 1043 is a number that divides the number without remainder.
The factors of 1043 are 1 and 1043.
Negative factors of 1043: -1 and -1043.
Prime factors of 1043: 1043 (since 1043 is a prime number).
The sum of factors of 1043: 1 + 1043 = 1044
How to Find Factors of 1043?
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 1043. Identifying the numbers which are multiplied to get the number 1043 is the multiplication method.
Step 1: Multiply 1043 by 1, 1043 × 1 = 1043.
Step 2: Since 1043 is a prime number, no other multiplication pairs can be found.
Therefore, the positive factor pairs of 1043 are: (1, 1043). 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 1043 by 1, 1043 ÷ 1 = 1043.
Step 2: Continue dividing 1043 by other numbers until the remainder becomes 0.
1043 ÷ 1 = 1043
1043 ÷ 1043 = 1
Therefore, the factors of 1043 are: 1 and 1043.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, since 1043 is a prime number, it cannot be broken down further. Its only prime factor is itself, 1043.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1043 is a prime number, it cannot be broken down using a factor tree. The prime factorization of 1043 is simply 1043.
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 1043: (1, 1043).
Negative factor pairs of 1043: (-1, -1043).
Common Mistakes and How to Avoid Them in Factors of 1043
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 1043, 1 and 1043 are factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1043 consist of -1 and -1043.
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 1043/1.5 = 695.333, and it is not a whole number.
Mistake 4
Confusing Factors With Multiples
Remember that factors are numbers that divide evenly into 1043, not just any numbers related to it.
For example, thinking all multiples of 1043 are factors. Only 1 and 1043 are factors.
Mistake 5
Mistake in Prime Factorization
Children might assume a number has multiple prime factors when it's a prime number itself.
For example, since 1043 is prime, it doesn't break down further into smaller prime factors.
Factors of 1043 Examples
Problem 1
There are 1043 apples in a box. How will they be divided equally among 1 person?
The person will get 1043 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people. 1043/1 = 1043
Problem 2
A piece of fabric is 1043 meters long. How many pieces of 1 meter can be cut from it?
1043 pieces.
Explanation
To find how many 1-meter pieces can be cut, we divide the total length by the length of each piece. 1043/1 = 1043
Problem 3
A painter has 1043 paints and wants to equally distribute them into 1 container. How many paints will be in the container?
The container will have 1043 paints.
Explanation
To find the paints in each container, divide the total paints by the number of containers.
1043/1 = 1043
Problem 4
A warehouse has 1043 boxes and needs to organize them into 1 section. How many boxes will be in each section?
There will be 1043 boxes in the section.
Explanation
Dividing the boxes by the number of sections, we get the number of boxes in each section.
1043/1 = 1043
Problem 5
1043 chairs need to be arranged in 1 row. How many chairs will go in each row?
Each row will have 1043 chairs.
Explanation
Divide total chairs by rows.
1043/1 = 1043
FAQs on Factors of 1043
1.What are the factors of 1043?
2.Mention the prime factors of 1043.
3.Is 1043 a prime number?
4.Mention the factor pairs of 1043?
5.What is the square of 1043?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1043?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1043 with numbers?
8.What role do numbers and Factors of 1043 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1043 skills?
Important Glossaries for Factors of 1043
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1043 are 1 and 1043.
- Prime factors: The factors which are prime numbers. For example, 1043 is a prime factor of itself.
- 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 1043 are (1, 1043).
- Prime number: A number that has no divisors other than 1 and itself. For example, 1043 is a prime number.
- Division method: A method to find factors by dividing the number by whole numbers to check for zero remainders.
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About BrightChamps in United Arab Emirates
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.
