131 LearnersLast updated on May 28th, 2025
Factors of 1303
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1303, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1303?
The numbers that divide 1303 evenly are known as factors of 1303.
A factor of 1303 is a number that divides the number without remainder.
The factors of 1303 are 1 and 1303 because 1303 is a prime number.
Negative factors of 1303: -1 and -1303.
Prime factors of 1303: 1303 itself, as it is a prime number.
Prime factorization of 1303: 1303.
The sum of factors of 1303: 1 + 1303 = 1304
How to Find Factors of 1303?
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 1303. Since 1303 is a prime number, the multiplication method shows that only 1 and 1303 multiply to give the number 1303.
Step 1: Multiply 1303 by 1, 1303 × 1 = 1303.
There are no other pairs of numbers that multiply to give 1303 because it is a prime number.
Finding Factors Using Division Method
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 the simple division method -
Step 1: Divide 1303 by 1, 1303 ÷ 1 = 1303.
Step 2: Check for divisibility by numbers up to the square root of 1303.
Since 1303 is only divisible by 1 and itself, the factors are: 1 and 1303.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. Since 1303 is a prime number, it is only divisible by itself and 1.
Therefore, the prime factorization of 1303 is simply 1303.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
For 1303, since it is a prime number, it cannot be broken down further into other prime factors.
The prime factorization of 1303 is 1303 itself. 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 1303: (1, 1303).
Negative factor pairs of 1303: (-1, -1303).
Common Mistakes and How to Avoid Them in Factors of 1303
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1303, 1 and 1303 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1303 include -1 and -1303.
Mistake 3
Including the Fraction
Sometimes, fractions are mistakenly considered as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1303/1.5 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 that all factors need to be prime numbers. While 1303 is a prime number, it still has the factors 1 and 1303.
Mistake 5
Mistake in Factorization
Skipping steps in factorization can lead to errors.
For example, assuming 1303 can be broken down further when it is actually a prime number.
Factors of 1303 Examples
Problem 1
There are 2 teams and 1303 marbles. How will they divide them equally?
They will not be able to divide them equally.
Explanation
1303 is a prime number, so it cannot be divided equally between 2 teams without a remainder.
Problem 2
A banner is 1303 meters long. How many pieces of 1-meter length can be cut from it?
1303 pieces.
Explanation
To find the number of pieces, divide the total length by the length of each piece.
1303/1 = 1303
Problem 3
There are 1303 coins and 1303 boxes. How many coins will be in each box?
Each box will have 1 coin.
Explanation
To find the coins in each box, divide the total coins by the number of boxes.
1303/1303 = 1
Problem 4
A class has 1303 students. If 1 student is to be in each group, how many groups are there?
There are 1303 groups.
Explanation
Dividing the students equally into groups, we will have: 1303/1 = 1303
Problem 5
There are 1303 apples to be distributed to 1 person. How many apples will they get?
They will get 1303 apples.
Explanation
All apples go to one person.
1303/1 = 1303
FAQs on Factors of 1303
1.What are the factors of 1303?
2.Mention the prime factors of 1303.
3.Is 1303 a multiple of 1?
4.Mention the factor pairs of 1303?
5.Is 1303 a prime number?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1303?
7.What are some fun ways kids in Qatar can practice Factors of 1303 with numbers?
8.What role do numbers and Factors of 1303 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1303 skills?
Important Glossaries for Factor of 1303
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1303 are 1 and 1303.
- Prime factors: The factors which are prime numbers. For example, 1303 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 1303 are (1, 1303).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1303 is a prime number.
- Divisibility: The ability for one number to be divided by another without leaving a remainder. For example, 1303 is divisible by 1 and 1303.
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About BrightChamps in Qatar
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.
