124 LearnersLast updated on May 26th, 2025
Factors of 1359
Factors are the numbers that divide any given number evenly without a 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 1359, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1359?
The numbers that divide 1359 evenly are known as factors of 1359.
A factor of 1359 is a number that divides the number without a remainder.
The factors of 1359 are 1, 3, 11, 33, 41, 123, 453, and 1359.
Negative factors of 1359: -1, -3, -11, -33, -41, -123, -453, and -1359.
Prime factors of 1359: 3, 11, and 41.
Prime factorization of 1359: 3 × 11 × 41.
The sum of factors of 1359: 1 + 3 + 11 + 33 + 41 + 123 + 453 + 1359 = 2024
How to Find Factors of 1359?
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 pairs of numbers that are multiplied to give 1359. Identifying the numbers which are multiplied to get the number 1359 is the multiplication method.
Step 1: Multiply 1359 by 1, 1359 × 1 = 1359.
Step 2: Check for other numbers that give 1359 after multiplying
3 × 453 = 1359
11 × 123 = 1359
33 × 41 = 1359
Therefore, the positive factor pairs of 1359 are: (1, 1359), (3, 453), (11, 123), and (33, 41).
All these factor pairs result in 1359.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1359 by 1, 1359 ÷ 1 = 1359.
Step 2: Continue dividing 1359 by the numbers until the remainder becomes 0.
1359 ÷ 1 = 1359
1359 ÷ 3 = 453
1359 ÷ 11 = 123
1359 ÷ 33 = 41
Therefore, the factors of 1359 are: 1, 3, 11, 33, 41, 123, 453, 1359.
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 1359 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1359 ÷ 3 = 453
453 ÷ 3 = 151
151 ÷ 11 = 41
41 ÷ 41 = 1
The prime factors of 1359 are 3, 11, and 41.
The prime factorization of 1359 is: 3 × 11 × 41.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1359 is divided by 3 to get 453.
Step 2: Now divide 453 by 3 to get 151. Step 3: Then divide 151 by 11 to get 41. Here, 41 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1359 is: 3 × 11 × 41.
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 1359: (1, 1359), (3, 453), (11, 123), and (33, 41).
Negative factor pairs of 1359: (-1, -1359), (-3, -453), (-11, -123), and (-33, -41).
Common Mistakes and How to Avoid Them in Factors of 1359
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1359, 1 and 1359 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1359 include -1, -3, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1359/1.5 = 906, 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 1359 are prime numbers. For instance, 3, 11, and 41 are the prime factors of 1359, but it has other factors like 33, 123.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1359 as 3 × 11 × 41 and missing all the key factors.
Factors of 1359 Examples
Problem 1
There are 3 teams and 1359 participants. How will they divide equally?
Each team will have 453 participants.
Explanation
To divide the participants equally, divide the total participants by the number of teams.
1359/3 = 453
Problem 2
A rectangular garden has a length of 11 meters and a total area of 1359 square meters. Find the width?
123 meters.
Explanation
To find the width of the garden, use the formula,
Area = length × width
1359 = 11 × width
To find the value of the width, shift 11 to the left side.
1359/11 = width
Width = 123.
Problem 3
A chocolate factory has 33 boxes and 1359 chocolates. How many chocolates will be in each box?
Each box will have 41 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the boxes.
1359/33 = 41
Problem 4
In a classroom, there are 1359 books, and 11 shelves. How many books are there on each shelf?
There are 123 books on each shelf.
Explanation
Dividing the books by the total shelves, you will get the number of books on each shelf.
1359/11 = 123
Problem 5
1359 apples need to be packed in 41 baskets. How many apples will go in each basket?
Each basket will have 33 apples.
Explanation
Divide the total apples by baskets.
1359/41 = 33
FAQs on Factors of 1359
1.What are the factors of 1359?
2.Mention the prime factors of 1359.
3.Is 1359 a multiple of 11?
4.Mention the factor pairs of 1359?
5.What is the square of 1359?
6.How can children in United States use numbers in everyday life to understand Factors of 1359?
7.What are some fun ways kids in United States can practice Factors of 1359 with numbers?
8.What role do numbers and Factors of 1359 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 1359 skills?
Important Glossaries for Factor of 1359
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1359 are 1, 3, 11, 33, 41, 123, 453, and 1359.
- Prime factors: The factors which are prime numbers. For example, 3, 11, and 41 are prime factors of 1359.
- 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 1359 are (1, 1359), (3, 453), etc.
- Prime factorization: Expressing a number as a product of its prime factors. For 1359, it is 3 × 11 × 41.
- Negative factors: Factors of a number that are negative. For example, -1, -3, -11, -33, -41, -123, -453, and -1359 are negative factors of 1359.
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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.
