Last updated on May 28th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
Since 1321 is a prime number, the only possible sizes for equal subgroups are 1 or 1321.
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.
Given that 1321 is a prime number, the only possible distributions are 1 attendee per table or all 1321 attendees at one table.
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.
Since 1321 is a prime number, it can only be divided evenly by 1 or itself.
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.
As 1321 is a prime number, the books can only be divided into shelves of 1 or 1321 books each.
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.
Since 1321 is prime, the only equal team sizes are 1 or 1321.
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.
: She loves to read number jokes and games.