119 LearnersLast updated on May 28th, 2025
Factors of 1596
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.
What are the Factors of 1596?
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
How to Find Factors of 1596?
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 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.
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 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.
Prime Factors and Prime Factorization
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
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1596
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 1596, 1 and 1596 are also factors.
Factors of 1596 Examples
Problem 1
There are 6 teams and 1596 players. How will they divide the players equally?
They will get 266 players each.
Explanation
To divide the players equally, we need to divide the total players with the number of teams.
1596/6 = 266
Problem 2
A rectangular garden has a length of 399 meters and a total area of 1596 square meters. Find the width.
4 meters.
Explanation
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.
Problem 3
There are 12 gift boxes and 1596 candies. How many candies will be in each box?
Each box will have 133 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
1596/12 = 133
Problem 4
A company has 3 departments and 1596 employees. How many employees are there in each department?
There are 532 employees in each department.
Explanation
Dividing the employees with the total departments, we will get the number of employees in each department.
1596/3 = 532
Problem 5
1596 books need to be arranged in 2 libraries. How many books will go in each library?
Each library will have 798 books.
Explanation
Divide total books with libraries.
1596/2 = 798
FAQs on Factors of 1596
1.What are the factors of 1596?
2.Mention the prime factors of 1596.
3.Is 1596 a multiple of 4?
4.Mention the factor pairs of 1596?
5.What is the square of 1596?
6.How can children in United States use numbers in everyday life to understand Factors of 1596?
7.What are some fun ways kids in United States can practice Factors of 1596 with numbers?
8.What role do numbers and Factors of 1596 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 1596 skills?
Important Glossaries for Factors of 1596
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1596 are 1, 2, 3, 4, 6, 12, 133, 266, 399, 532, 798, and 1596.
- Prime Factors: The factors which are prime numbers. For example, 2, 3, and 133 are prime factors of 1596.
- 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 1596 are (1, 1596), (2, 798), etc.
- Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1596 is 2 × 2 × 3 × 133.
- Division Method: A method to find factors by dividing the number by whole numbers until the remainder is zero.
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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.
