Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 teams and 1359 participants. How will they divide equally?
Each team will have 453 participants.
To divide the participants equally, divide the total participants by the number of teams.
1359/3 = 453
A rectangular garden has a length of 11 meters and a total area of 1359 square meters. Find the width?
123 meters.
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.
A chocolate factory has 33 boxes and 1359 chocolates. How many chocolates will be in each box?
Each box will have 41 chocolates.
To find the chocolates in each box, divide the total chocolates by the boxes.
1359/33 = 41
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.
Dividing the books by the total shelves, you will get the number of books on each shelf.
1359/11 = 123
1359 apples need to be packed in 41 baskets. How many apples will go in each basket?
Each basket will have 33 apples.
Divide the total apples by baskets.
1359/41 = 33
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.
: She loves to read number jokes and games.