116 LearnersLast updated on May 26th, 2025
Factors of 1329
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 1329, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1329?
The numbers that divide 1329 evenly are known as factors of 1329.
A factor of 1329 is a number that divides the number without remainder.
The factors of 1329 are 1, 3, 443, and 1329.
Negative factors of 1329: -1, -3, -443, and -1329.
Prime factors of 1329: 3 and 443.
Prime factorization of 1329: 3 × 443.
The sum of factors of 1329: 1 + 3 + 443 + 1329 = 1776
How to Find Factors of 1329?
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 1329. Identifying the numbers which are multiplied to get the number 1329 is the multiplication method.
Step 1: Multiply 1329 by 1, 1329 × 1 = 1329.
Step 2: Check for other numbers that give 1329 after multiplying 3 × 443 = 1329
Therefore, the positive factor pairs of 1329 are: (1, 1329) and (3, 443).
All these factor pairs result in 1329.
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 1329 by 1, 1329 ÷ 1 = 1329.
Step 2: Continue dividing 1329 by the numbers until the remainder becomes 0.
1329 ÷ 1 = 1329
1329 ÷ 3 = 443
Therefore, the factors of 1329 are: 1, 3, 443, and 1329.
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 factor tree
Using Prime Factorization: In this process, prime factors of 1329 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1329 ÷ 3 = 443
443 ÷ 443 = 1
The prime factors of 1329 are 3 and 443.
The prime factorization of 1329 is: 3 × 443.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1329 is divided by 3 to get 443.
Step 2: Now divide 443 by 443 to get 1. Here, 443 is a prime number that cannot be divided anymore. So, the prime factorization of 1329 is: 3 × 443.
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 1329: (1, 1329) and (3, 443).
Negative factor pairs of 1329: (-1, -1329) and (-3, -443).
Common Mistakes and How to Avoid Them in Factors of 1329
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 1329, 1 and 1329 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1329 consist of -1, -3, -443, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1329/1.5 = 886, and it 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 all the factors of 1329 are prime numbers.
For example, 3 and 443 are the prime factors of 1329, but it also includes 1 and 1329 itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 1329 as 3 × 443 and missing all the key factors.
Factors of 1329 Examples
Problem 1
There are 3 teams and 1329 marbles. How will they divide it equally?
They will get 443 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1329/3 = 443
Problem 2
A rectangular room has a width of 3 meters and a total area of 1329 square meters. Find the length?
443 meters.
Explanation
To find the length of the room, we use the formula,
Area = length × width
1329 = 3 × length
To find the value of the length, we need to divide 1329 by 3.
1329/3 = length
Length = 443.
Problem 3
There are 443 boxes and 1329 carrots. How many carrots will be in each box?
Each box will have 3 carrots.
Explanation
To find the carrots in each box, divide the total carrots by the number of boxes.
1329/443 = 3
Problem 4
In a class, there are 1329 students, and 3 groups. How many students are there in each group?
There are 443 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1329/3 = 443
Problem 5
1329 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 443 books.
Explanation
Divide total books by shelves.
1329/3 = 443
FAQs on Factors of 1329
1.What are the factors of 1329?
2.Mention the prime factors of 1329.
3.Is 1329 a multiple of 3?
4.Mention the factor pairs of 1329?
5.What is the square of 1329?
6.How can children in United States use numbers in everyday life to understand Factors of 1329?
7.What are some fun ways kids in United States can practice Factors of 1329 with numbers?
8.What role do numbers and Factors of 1329 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 1329 skills?
Important Glossaries for Factor of 1329
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1329 are 1, 3, 443, and 1329.
- Prime factors: The factors which are prime numbers. For example, 3 and 443 are prime factors of 1329.
- 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 1329 are (1, 1329), (3, 443).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1329 is 3 × 443.
- Divisibility: The ability of one number to be divided by another without leaving a remainder. For example, 1329 is divisible by 3.
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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.
