101 LearnersLast updated on May 26th, 2025
Factors of 321
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 321, how they are used in real life, and tips to learn them quickly.
What are the Factors of 321?
The numbers that divide 321 evenly are known as factors of 321.
A factor of 321 is a number that divides the number without remainder.
The factors of 321 are 1, 3, 107, and 321.
Negative factors of 321: -1, -3, -107, and -321.
Prime factors of 321: 3 and 107.
Prime factorization of 321: 3 × 107.
The sum of factors of 321: 1 + 3 + 107 + 321 = 432
How to Find Factors of 321?
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 the pairs of numbers that are multiplied to give 321. Identifying the numbers which are multiplied to get the number 321 is the multiplication method.
Step 1: Multiply 321 by 1, 321 × 1 = 321.
Step 2: Check for other numbers that give 321 after multiplying 3 × 107 = 321
Therefore, the positive factor pairs of 321 are: (1, 321) and (3, 107).
All these factor pairs result in 321.
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 a simple division method -
Step 1: Divide 321 by 1, 321 ÷ 1 = 321.
Step 2: Continue dividing 321 by the numbers until the remainder becomes 0.
321 ÷ 1 = 321
321 ÷ 3 = 107
Therefore, the factors of 321 are: 1, 3, 107, 321.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 321 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
321 ÷ 3 = 107
107 ÷ 107 = 1
The prime factors of 321 are 3 and 107.
The prime factorization of 321 is: 3 × 107.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 321 is divided by 3 to get 107.
Step 2: 107 is a prime number and cannot be divided further. So, the prime factorization of 321 is: 3 × 107.
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 321: (1, 321) and (3, 107).
Negative factor pairs of 321: (-1, -321) and (-3, -107).
Common Mistakes and How to Avoid Them in Factors of 321
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 the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 321, 1 and 321 are also factors.
Factors of 321 Examples
Problem 1
A group of 3 musicians has 321 pieces of sheet music. How will they divide it equally?
They will get 107 pieces each.
Explanation
To divide the pieces equally, we need to divide the total pieces by the number of musicians.
321/3 = 107
Problem 2
A rectangular billboard has a length of 3 meters and a total area of 321 square meters. Find the width.
107 meters.
Explanation
To find the width of the billboard, we use the formula, Area = length × width
321 = 3 × width
To find the value of width, we need to shift 3 to the left side.
321/3 = width
Width = 107.
Problem 3
There are 107 boxes and 321 marbles. How many marbles will be in each box?
Each box will have 3 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
321/107 = 3
Problem 4
In a class, there are 321 students, and the students are divided into 3 teams. How many students are there in each team?
There are 107 students in each team.
Explanation
Dividing the students by the total teams, we will get the number of students in each team.
321/3 = 107
Problem 5
321 books need to be arranged on 3 shelves. How many books will go on each shelf?
Each of the shelves will have 107 books.
Explanation
Divide total books by the shelves.
321/3 = 107
FAQs on Factors of 321
1.What are the factors of 321?
2.Mention the prime factors of 321.
3.Is 321 a multiple of 3?
4.Mention the factor pairs of 321?
5.What is the square of 321?
6.How can children in Canada use numbers in everyday life to understand Factors of 321?
7.What are some fun ways kids in Canada can practice Factors of 321 with numbers?
8.What role do numbers and Factors of 321 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 321 skills?
Important Glossaries for Factors of 321
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 321 are 1, 3, 107, and 321.
- Prime factors: The factors which are prime numbers. For example, 3 and 107 are prime factors of 321.
- 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 321 are (1, 321) and (3, 107).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 321 is 3 × 107.
- Multiples: Numbers that are the product of a given number and an integer. For example, multiples of 3 include 3, 6, 9, etc., and 321 is a multiple of 3.
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About BrightChamps in Canada
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.
