120 LearnersLast updated on May 26th, 2025
Factors of 263
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 263, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 263?
The numbers that divide 263 evenly are known as factors of 263.
A factor of 263 is a number that divides the number without remainder.
The factors of 263 are 1 and 263.
Negative factors of 263: -1 and -263.
Prime factors of 263: 263.
Prime factorization of 263: 263 is a prime number, so its prime factorization is 263 itself.
The sum of factors of 263: 1 + 263 = 264
How to Find Factors of 263?
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 pairs of numbers that are multiplied to give 263. Identifying the numbers which are multiplied to get the number 263 is the multiplication method.
Step 1: Multiply 263 by 1, 263 × 1 = 263.
Step 2: Check for other numbers that give 263 after multiplying.
Since 263 is a prime number, no other multiplication pair exists except (1, 263).
Therefore, the positive factor pair of 263 is: (1, 263).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 263 by 1, 263 ÷ 1 = 263.
Step 2: Continue dividing 263 by numbers until the remainder becomes 0.
263 ÷ 1 = 263
Since 263 is a prime number, it has no divisors other than 1 and itself.
Therefore, the factors of 263 are: 1 and 263.
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: In this process, prime factors of 263 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 263 is a prime number, it cannot be divided further by any other prime number.
The prime factors of 263 are 263.
The prime factorization of 263 is: 263 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
Since 263 is a prime number, it cannot be broken down further into other prime numbers.
Therefore, the prime factorization of 263 remains as 263 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 263: (1, 263).
Negative factor pairs of 263: (-1, -263).
Common Mistakes and How to Avoid Them in Factors of 263
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 include 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 263, 1 and 263 are factors.
Mistake 2
Missing Negative Factors
We might only mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 263 consist of -1 and -263.
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 because 263/1.5 = 175.333, 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 263 are prime numbers. For example, 263 is the only prime factor of itself, but it has 1 as another factor.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing 263 as a prime number and incorrectly listing factors.
Factors of 263 Examples
Problem 1
There are 263 apples and 1 basket. How will the apples fit into the basket?
All 263 apples will fit into the basket.
Explanation
To fit all apples into the basket, we use the factor 1, as 263 is a factor of itself.
263/1 = 263
Problem 2
A library has 263 books and 1 shelf. How many books will go on the shelf?
All 263 books will go on the shelf.
Explanation
To find the number of books that fit on the shelf, use the factor 1 as 263 is a factor of itself.
263/1 = 263
Problem 3
There are 263 students and 1 bus. How many students can the bus carry?
The bus can carry all 263 students.
Explanation
Using the factor 1, as 263 is a factor of itself, we can fit all students.
263/1 = 263
Problem 4
A warehouse has 263 boxes and 1 storage unit. How many boxes will be stored in the unit?
All 263 boxes will be stored in the unit.
Explanation
Using the factor 1, since 263 is a factor of itself, all boxes fit.
263/1 = 263
Problem 5
There are 263 chairs and 1 room. How many chairs will go into the room?
All 263 chairs will fit into the room.
Explanation
To fit all chairs into the room, use the factor 1 as 263 is a factor of itself.
263/1 = 263
FAQs on Factors of 263
1.What are the factors of 263?
2.Mention the prime factors of 263.
3.Is 263 a multiple of 3?
4.Mention the factor pairs of 263?
5.What is the square of 263?
Important Glossaries for Factor of 263
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 263 are 1 and 263.
- Prime factors: The factors which are prime numbers. For example, 263 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 pair of 263 is (1, 263).
- Prime number: A natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 263 is a prime number.
- Negative factors: The negative counterparts of a number's factors. For example, the negative factors of 263 are -1 and -263.
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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.
