Last updated on May 28th, 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 1596, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1596 evenly are known as factors of 1596.
A factor of 1596 is a number that divides the number without a remainder.
The factors of 1596 are 1, 2, 3, 4, 6, 12, 133, 266, 399, 532, 798, and 1596.
Negative factors of 1596: -1, -2, -3, -4, -6, -12, -133, -266, -399, -532, -798, and -1596.
Prime factors of 1596: 2, 3, and 133.
Prime factorization of 1596: 2 × 2 × 3 × 133.
The sum of factors of 1596: 1 + 2 + 3 + 4 + 6 + 12 + 133 + 266 + 399 + 532 + 798 + 1596 = 3752
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1596. Identifying the numbers which are multiplied to get the number 1596 is the multiplication method.
Step 1: Multiply 1596 by 1, 1596 × 1 = 1596.
Step 2: Check for other numbers that give 1596 after multiplying
2 × 798 = 1596
3 × 532 = 1596
4 × 399 = 1596
6 × 266 = 1596
12 × 133 = 1596
Therefore, the positive factor pairs of 1596 are: (1, 1596), (2, 798), (3, 532), (4, 399), (6, 266), (12, 133).
For every positive factor, there is a negative factor.
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 simple division method -
Step 1: Divide 1596 by 1, 1596 ÷ 1 = 1596.
Step 2: Continue dividing 1596 by the numbers until the remainder becomes 0.
1596 ÷ 1 = 1596
1596 ÷ 2 = 798
1596 ÷ 3 = 532
1596 ÷ 4 = 399
1596 ÷ 6 = 266
1596 ÷ 12 = 133
Therefore, the factors of 1596 are: 1, 2, 3, 4, 6, 12, 133, 266, 399, 532, 798, 1596.
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1596 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1596 ÷ 2 = 798
798 ÷ 2 = 399
399 ÷ 3 = 133
133 ÷ 133 = 1
The prime factors of 1596 are 2, 3, and 133.
The prime factorization of 1596 is: 2 × 2 × 3 × 133.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1596 is divided by 2 to get 798.
Step 2: Now divide 798 by 2 to get 399.
Step 3: Then divide 399 by 3 to get 133.
Step 4: Divide 133 by 133 to get 1.
The prime factorization of 1596 is: 2 × 2 × 3 × 133.
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 1596: (1, 1596), (2, 798), (3, 532), (4, 399), (6, 266), and (12, 133).
Negative factor pairs of 1596: (-1, -1596), (-2, -798), (-3, -532), (-4, -399), (-6, -266), and (-12, -133).
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 6 teams and 1596 players. How will they divide the players equally?
They will get 266 players each.
To divide the players equally, we need to divide the total players with the number of teams.
1596/6 = 266
A rectangular garden has a length of 399 meters and a total area of 1596 square meters. Find the width.
4 meters.
To find the width of the garden, we use the formula,
Area = length × width
1596 = 399 × width
To find the value of width, we need to shift 399 to the left side.
1596/399 = width
Width = 4.
There are 12 gift boxes and 1596 candies. How many candies will be in each box?
Each box will have 133 candies.
To find the candies in each box, divide the total candies with the boxes.
1596/12 = 133
A company has 3 departments and 1596 employees. How many employees are there in each department?
There are 532 employees in each department.
Dividing the employees with the total departments, we will get the number of employees in each department.
1596/3 = 532
1596 books need to be arranged in 2 libraries. How many books will go in each library?
Each library will have 798 books.
Divide total books with libraries.
1596/2 = 798
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.