124 LearnersLast updated on May 26th, 2025
Factors of 803
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 803, how they are used in real life, and tips to learn them quickly.
What are the Factors of 803?
The numbers that divide 803 evenly are known as factors of 803.
A factor of 803 is a number that divides the number without a remainder.
Since 803 is a prime number, its factors are only 1 and 803.
Negative factors of 803: -1 and -803.
Prime factors of 803: 803.
Prime factorization of 803: 803 is a prime number.
The sum of factors of 803: 1 + 803 = 804
How to Find Factors of 803?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 803. Since 803 is a prime number, the only multiplication that results in 803 is:
Step 1: Multiply 803 by 1, 803 × 1 = 803.
Therefore, the positive factor pair of 803 is: (1, 803).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 803 by 1, 803 ÷ 1 = 803.
Since 803 is a prime number, no other division will result in a whole number until divided by itself.
Therefore, the factors of 803 are: 1 and 803.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: Since 803 is a prime number, it cannot be broken down into other prime factors.
The prime factorization of 803 is 803 itself.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 803 is a prime number, it doesn't break down further. The factor tree for 803 shows it remains as 803.
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 803: (1, 803).
Negative factor pair of 803: (-1, -803).
Common Mistakes and How to Avoid Them in Factors of 803
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 803, 1 and 803 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 803 consist of -1 and -803.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 803/1.5 = a non-integer, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 803 are prime numbers. However, 803 itself is a prime number, so its only factors are 1 and 803.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing that 803 is a prime number and cannot be factorized further.
Factors of 803 Examples
Problem 1
There are 803 apples and 1 basket. How many apples will each basket contain?
The basket will contain 803 apples.
Explanation
To distribute the apples equally, we divide the total apples by the number of baskets.
803/1 = 803
Problem 2
A road is 803 meters long. If it is divided into 1 equal section, how long is each section?
Each section is 803 meters long.
Explanation
To find the length of each section, divide the total length by the number of sections.
803/1 = 803
Problem 3
There are 803 pages in a book and it is read in 1 sitting. How many pages are read in each sitting?
803 pages are read in each sitting.
Explanation
To determine the number of pages read per sitting, divide the total pages by the number of sittings.
803/1 = 803
FAQs on Factors of 803
1.What are the factors of 803?
2.Mention the prime factors of 803.
3.Is 803 a multiple of 2?
4.Mention the factor pairs of 803?
5.What is the square of 803?
Important Glossaries for Factor of 803
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 803 are 1 and 803.
- Prime number: A number that has no divisors other than 1 and itself. For example, 803 is a prime number.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 803 itself is its prime factorization.
- Factor pair: Two numbers that multiply to give the original number. For example, the factor pair of 803 is (1, 803).
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 803 are -1 and -803.
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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.
