118 LearnersLast updated on May 26th, 2025
Factors of 1326
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 1326, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1326?
The numbers that divide 1326 evenly are known as factors of 1326.
A factor of 1326 is a number that divides the number without remainder.
The factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 289, 442, 578, 867, and 1326.
Negative factors of 1326: -1, -2, -3, -6, -13, -17, -26, -34, -39, -51, -78, -102, -221, -289, -442, -578, -867, and -1326.
Prime factors of 1326: 2, 3, 13, and 17.
Prime factorization of 1326: 2 × 3 × 13 × 17.
The sum of factors of 1326: 1 + 2 + 3 + 6 + 13 + 17 + 26 + 34 + 39 + 51 + 78 + 102 + 221 + 289 + 442 + 578 + 867 + 1326 = 4096
How to Find Factors of 1326?
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 1326. Identifying the numbers which are multiplied to get the number 1326 is the multiplication method.
Step 1: Multiply 1326 by 1, 1326 × 1 = 1326.
Step 2: Check for other numbers that give 1326 after multiplying
2 × 663 = 1326
3 × 442 = 1326
6 × 221 = 1326
13 × 102 = 1326
17 × 78 = 1326
26 × 51 = 1326
34 × 39 = 1326
Therefore, the positive factor pairs of 1326 are: (1, 1326), (2, 663), (3, 442), (6, 221), (13, 102), (17, 78), (26, 51), and (34, 39).
All these factor pairs result in 1326.
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 that result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1326 by 1, 1326 ÷ 1 = 1326.
Step 2: Continue dividing 1326 by the numbers until the remainder becomes 0.
1326 ÷ 1 = 1326
1326 ÷ 2 = 663
1326 ÷ 3 = 442
1326 ÷ 6 = 221
1326 ÷ 13 = 102
1326 ÷ 17 = 78
1326 ÷ 26 = 51
1326 ÷ 34 = 39
Therefore, the factors of 1326 are: 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 289, 442, 578, 867, and 1326.
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 1326 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1326 ÷ 2 = 663
663 ÷ 3 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1
The prime factors of 1326 are 2, 3, 13, and 17.
The prime factorization of 1326 is: 2 × 3 × 13 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1326 is divided by 2 to get 663.
Step 2: Now divide 663 by 3 to get 221.
Step 3: Then divide 221 by 13 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1326 is: 2 × 3 × 13 × 17.
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 1326: (1, 1326), (2, 663), (3, 442), (6, 221), (13, 102), (17, 78), (26, 51), and (34, 39).
Negative factor pairs of 1326: (-1, -1326), (-2, -663), (-3, -442), (-6, -221), (-13, -102), (-17, -78), (-26, -51), and (-34, -39).
Common Mistakes and How to Avoid Them in Factors of 1326
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 1326, 1 and 1326 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 1326 consist of -1, -2, -3, etc.
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 1326/1.5 = 884, 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 1326 are prime numbers.
For example, 2, 3, 13, and 17 are the prime factors of 1326, but it has other factors like 6, 34.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1326 as 2 × 3 × 13 × 17 and missing all the key factors.
Factors of 1326 Examples
Problem 1
There are 18 teams and 1326 points. How will they distribute the points equally?
They will get 73.67 points each, which is not possible for an exact whole number distribution.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1326/18 = 73.67
Problem 2
A field has a length of 51 meters and a total area of 1326 square meters. Find the width.
26 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1326 = 51 × width
To find the value of width, we need to shift 51 to the left side.
1326/51 = width
Width = 26.
Problem 3
There are 34 boxes and 1326 items. How many items will be in each box?
Each box will have 39 items.
Explanation
To find the items in each box, divide the total items by the boxes.
1326/34 = 39
Problem 4
In a class, there are 51 students, and they have 1326 points to distribute equally. How many points does each student get?
Each student gets 26 points.
Explanation
Dividing the points by the total students, we will get the number of points each student gets.
1326/51 = 26
Problem 5
1326 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 221 books.
Explanation
Divide total books by shelves.
1326/6 = 221
FAQs on Factors of 1326
1.What are the factors of 1326?
2.Mention the prime factors of 1326.
3.Is 1326 a multiple of 13?
4.Mention the factor pairs of 1326.
5.What is the square of 1326?
Important Glossaries for Factor of 1326
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1326 are 1, 2, 3, 6, 13, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 13, and 17 are prime factors of 1326.
- 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 1326 are (1, 1326), (2, 663), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1326 is 2 × 3 × 13 × 17.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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.
