135 LearnersLast updated on May 28th, 2025
Factors of 1321
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, organizing events, etc. In this topic, we will learn about the factors of 1321, how they are used in real life, and tips for learning them quickly.
What are the Factors of 1321?
The numbers that divide 1321 evenly are known as factors of 1321.
A factor of 1321 is a number that divides the number without remainder.
The factors of 1321 are 1, 1321.
Negative factors of 1321: -1, -1321.
Prime factors of 1321: 1321 (since 1321 is a prime number).
Prime factorization of 1321: 1321.
The sum of factors of 1321: 1 + 1321 = 1322
How to Find Factors of 1321?
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 1321.
Since 1321 is a prime number, the only multiplication pair is:
1 × 1321 = 1321
Therefore, the positive factor pair of 1321 is: (1, 1321).
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 as a whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1321 by 1, 1321 ÷ 1 = 1321.
Step 2: Check if 1321 is divisible evenly by other numbers.
1321 ÷ 1321 = 1
Therefore, the factors of 1321 are: 1, 1321.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers.
Since 1321 is a prime number itself, it cannot be broken down further into other prime factors.
Using prime factorization, 1321 remains as 1321.
The prime factor of 1321 is 1321 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 1321 is a prime number, it cannot be broken down further.
The prime factorization of 1321 is simply 1321.
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 1321: (1, 1321).
Negative factor pairs of 1321: (-1, -1321).
Common Mistakes and How to Avoid Them in Factors of 1321
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 1321, 1 and 1321 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 1321 include -1 and -1321.
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 1321/1.5 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, confusing factors of 1321 as multiple different numbers. 1321 is a prime number, so it only has 1 and 1321 as factors.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not recognizing that 1321 is already a prime number and attempting to factor it further.
Factors of 1321 Examples
Problem 1
A committee has 1321 members. If each subgroup must have an equal number of members, what are the possible sizes of the subgroups?
The subgroups can have either 1 member each or 1321 members each.
Explanation
Since 1321 is a prime number, the only possible sizes for equal subgroups are 1 or 1321.
Problem 2
A conference has 1321 attendees, and each round table can host the same number of attendees. What are the possible numbers of attendees per table?
Each table can have 1 attendee or 1321 attendees.
Explanation
Given that 1321 is a prime number, the only possible distributions are 1 attendee per table or all 1321 attendees at one table.
Problem 3
There are 1321 candies to be distributed equally among kids. How many candies can each kid get if each gets the same amount?
Each kid can get 1 candy or 1321 candies.
Explanation
Since 1321 is a prime number, it can only be divided evenly by 1 or itself.
Problem 4
A library has 1321 books, and each shelf must hold the same number of books. What are the possible numbers of books per shelf?
Each shelf can hold 1 book or 1321 books.
Explanation
As 1321 is a prime number, the books can only be divided into shelves of 1 or 1321 books each.
Problem 5
A sports team has 1321 players, and teams must be of equal size. What are the possible team sizes?
The team sizes can be 1 player or 1321 players.
Explanation
Since 1321 is prime, the only equal team sizes are 1 or 1321.
FAQs on Factors of 1321
1.What are the factors of 1321?
2.Mention the prime factors of 1321.
3.Is 1321 a multiple of 4?
4.Mention the factor pairs of 1321?
5.What is the square of 1321?
6.How can children in United States use numbers in everyday life to understand Factors of 1321?
7.What are some fun ways kids in United States can practice Factors of 1321 with numbers?
8.What role do numbers and Factors of 1321 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1321 skills?
Important Glossaries for Factor of 1321
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1321 are 1 and 1321.
- Prime factors: The factors which are prime numbers. For example, 1321 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 1321 is (1, 1321).
- Prime number: A number that has no divisors other than 1 and itself. 1321 is a prime number.
- Multiplication: The process of adding a number to itself a certain number of times. For example, 1 multiplied by 1321 equals 1321.
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About BrightChamps in United States
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.
