124 LearnersLast updated on May 26th, 2025
Factors of 1327
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 1327, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1327?
The numbers that divide 1327 evenly are known as factors of 1327.
A factor of 1327 is a number that divides the number without remainder.
The factors of 1327 are 1, 1327.
Negative factors of 1327: -1, -1327.
Prime factors of 1327: 1327 (since 1327 is a prime number).
Prime factorization of 1327: 1327.
The sum of factors of 1327: 1 + 1327 = 1328
How to Find Factors of 1327?
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 pairs of numbers that are multiplied to give 1327. Since 1327 is a prime number, it can only be expressed as a product of 1 and itself.
Step 1: Multiply 1327 by 1, 1327 × 1 = 1327.
Therefore, the positive factor pair of 1327 is: (1, 1327).
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 1327 by 1, 1327 ÷ 1 = 1327.
Step 2: Since 1327 is a prime number, it is only divisible by 1 and 1327.
Therefore, the factors of 1327 are: 1, 1327.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. Since 1327 is a prime number itself, its only prime factor is 1327.
Using Prime Factorization: In this process, the prime factors of 1327 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1327 ÷ 1327 = 1
The prime factor of 1327 is 1327.
The prime factorization of 1327 is: 1327.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1327 is a prime number, it doesn't break down further into smaller factors apart from itself and 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 1327: (1, 1327).
Negative factor pair of 1327: (-1, -1327).
Common Mistakes and How to Avoid Them in Factors of 1327
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1327, 1 and 1327 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check to include negative factors.
For example, the factors of 1327 consist of -1 and -1327.
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 1327/1.5 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 the factors of 1327 are prime numbers. In reality, 1327 is a prime number, so its factors are 1 and 1327 itself.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not recognizing that 1327 is prime and trying to break it down further.
Factors of 1327 Examples
Problem 1
There are 1327 people attending a concert. If each row can hold 1 person, how many rows are needed?
1327 rows are needed.
Explanation
To seat all people, we need to divide the total people by the number of people per row.
1327/1 = 1327
Problem 2
A company manufactures 1327 gadgets in a day and packs them in boxes of 1 gadget each. How many boxes are needed?
1327 boxes are needed.
Explanation
To pack all gadgets, we need to divide the total gadgets by the number of gadgets per box.
1327/1 = 1327
Problem 3
A library has 1327 books and arranges them equally on 1 shelf. How many books will be on each shelf?
1327 books will be on the shelf.
Explanation
To find the books on each shelf, divide the total books by the shelves.
1327/1 = 1327
Problem 4
In a game, there are 1327 players, and each team has 1 player. How many teams can be formed?
1327 teams can be formed.
Explanation
Dividing the players with the total teams, we will get the number of teams.
1327/1 = 1327
FAQs on Factors of 1327
1.What are the factors of 1327?
2.Mention the prime factors of 1327.
3.Is 1327 a multiple of 1?
4.Mention the factor pairs of 1327?
5.What is the square of 1327?
Important Glossaries for Factor of 1327
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1327 are 1 and 1327.
- Prime factors: The factors which are prime numbers. For example, 1327 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 1327 is (1, 1327).
- Prime number: A number that has no positive divisors other than 1 and itself. For example, 1327 is a prime number.
- Division method: A method used to find the factors of a number by dividing it by other numbers. For example, using the division method, we can see that 1327 is only divisible by 1 and 1327.
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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.
