102 LearnersLast updated on May 26th, 2025
Factors of 327
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 327, how they are used in real life, and tips to learn them quickly.
What are the Factors of 327?
The numbers that divide 327 evenly are known as factors of 327.
A factor of 327 is a number that divides the number without remainder.
The factors of 327 are 1, 3, 109, and 327.
Negative factors of 327: -1, -3, -109, and -327.
Prime factors of 327: 3 and 109.
Prime factorization of 327: 3 × 109.
The sum of factors of 327: 1 + 3 + 109 + 327 = 440
How to Find Factors of 327?
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 327. Identifying the numbers multiplied to get the number 327 is the multiplication method.
Step 1: Multiply 327 by 1, 327 × 1 = 327.
Step 2: Check for other numbers that give 327 after multiplying
3 × 109 = 327
Therefore, the positive factor pairs of 327 are: (1, 327), (3, 109).
All these factor pairs result in 327.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 327 by 1, 327 ÷ 1 = 327.
Step 2: Continue dividing 327 by the numbers until the remainder becomes 0.
327 ÷ 1 = 327
327 ÷ 3 = 109
Therefore, the factors of 327 are: 1, 3, 109, 327.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 327 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
327 ÷ 3 = 109
109 is a prime number, so the process stops here.
The prime factors of 327 are 3 and 109.
The prime factorization of 327 is: 3 × 109.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 327 is divided by 3 to get 109. Since 109 is a prime number, it cannot be divided further. So, the prime factorization of 327 is: 3 × 109.
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 327: (1, 327), (3, 109).
Negative factor pairs of 327: (-1, -327), (-3, -109).
Common Mistakes and How to Avoid Them in Factors of 327
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 as 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 327, 1 and 327 are also factors.
Factors of 327 Examples
Problem 1
There are 3 teams and 327 apples. How will they divide them equally?
Each team will get 109 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
327/3 = 109
Problem 2
A poster is rectangular, the width of the poster is 3 meters and the total area is 327 square meters. Find the length.
109 meters.
Explanation
To find the length of the poster, we use the formula, Area = length × width
327 = 3 × length
To find the value of the length, we need to shift 3 to the left side.
327/3 = length
Length = 109.
Problem 3
There are 109 boxes and 327 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.
327/109 = 3
Problem 4
In a class, there are 327 students, and 3 groups. How many students are there in each group?
There are 109 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
327/3 = 109
Problem 5
327 books need to be arranged in 109 shelves. How many books will go on each shelf?
Each of the shelves has 3 books.
Explanation
Divide total books by shelves.
327/109 = 3
FAQs on Factors of 327
1.What are the factors of 327?
2.Mention the prime factors of 327.
3.Is 327 a multiple of 3?
4.Mention the factor pairs of 327?
5.What is the square of 327?
6.How can children in Canada use numbers in everyday life to understand Factors of 327?
7.What are some fun ways kids in Canada can practice Factors of 327 with numbers?
8.What role do numbers and Factors of 327 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 327 skills?
Important Glossaries for Factors of 327
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 327 are 1, 3, 109, and 327.
- Prime factors: The factors which are prime numbers. For example, 3 and 109 are prime factors of 327.
- 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 327 are (1, 327), (3, 109).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 327 is 3 × 109.
- Negative factors: The negative numbers that divide the given number without leaving a remainder. For example, the negative factors of 327 are -1, -3, -109, and -327.
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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.
