104 LearnersLast updated on May 26th, 2025
Factors of 936
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 936, how they are used in real life, and tips to learn them quickly.
What are the Factors of 936?
The numbers that divide 936 evenly are known as factors of 936.
A factor of 936 is a number that divides the number without a remainder.
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, and 936.
Negative factors of 936: -1, -2, -3, -4, -6, -8, -9, -12, -13, -18, -24, -26, -36, -39, -52, -72, -78, -104, -117, -156, -234, -312, -468, and -936.
Prime factors of 936: 2, 3, and 13.
Prime factorization of 936: 2³ × 3² × 13.
The sum of factors of 936: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 18 + 24 + 26 + 36 + 39 + 52 + 72 + 78 + 104 + 117 + 156 + 234 + 312 + 468 + 936 = 3072
How to Find Factors of 936?
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 936. Identifying the numbers which are multiplied to get the number 936 is the multiplication method.
Step 1: Multiply 936 by 1, 936 × 1 = 936.
Step 2: Check for other numbers that give 936 after multiplying
2 × 468 = 936
3 × 312 = 936
4 × 234 = 936
6 × 156 = 936
8 × 117 = 936
9 × 104 = 936
12 × 78 = 936
13 × 72 = 936
18 × 52 = 936
24 × 39 = 936
26 × 36 = 936
Therefore, the positive factor pairs of 936 are: (1, 936), (2, 468), (3, 312), (4, 234), (6, 156), (8, 117), (9, 104), (12, 78), (13, 72), (18, 52), (24, 39), (26, 36).
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 a simple division method -
Step 1: Divide 936 by 1, 936 ÷ 1 = 936.
Step 2: Continue dividing 936 by the numbers until the remainder becomes 0.
936 ÷ 1 = 936
936 ÷ 2 = 468
936 ÷ 3 = 312
936 ÷ 4 = 234
936 ÷ 6 = 156
936 ÷ 8 = 117
936 ÷ 9 = 104
936 ÷ 12 = 78
936 ÷ 13 = 72
936 ÷ 18 = 52
936 ÷ 24 = 39
936 ÷ 26 = 36
Therefore, the factors of 936 are: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.
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 936 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
936 ÷ 2 = 468
468 ÷ 2 = 234
234 ÷ 2 = 117
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
The prime factors of 936 are 2, 3, and 13.
The prime factorization of 936 is: 2³ × 3² × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 936 is divided by 2 to get 468.
Step 2: Now divide 468 by 2 to get 234.
Step 3: Then divide 234 by 2 to get 117.
Step 4: Divide 117 by 3 to get 39.
Step 5: Divide 39 by 3 to get 13.
Here, 13 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 936 is: 2³ × 3² × 13.
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 936: (1, 936), (2, 468), (3, 312), (4, 234), (6, 156), (8, 117), (9, 104), (12, 78), (13, 72), (18, 52), (24, 39), (26, 36).
Negative factor pairs of 936: (-1, -936), (-2, -468), (-3, -312), (-4, -234), (-6, -156), (-8, -117), (-9, -104), (-12, -78), (-13, -72), (-18, -52), (-24, -39), (-26, -36).
Common Mistakes and How to Avoid Them in Factors of 936
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 936, 1 and 936 are also factors.
Factors of 936 Examples
Problem 1
There are 9 teams and 936 tickets. How will they distribute them equally?
They will get 104 tickets each.
Explanation
To divide the tickets equally, we need to divide the total tickets by the number of teams.
936/9 = 104
Problem 2
A garden is rectangular, the length of the garden is 13 meters and the total area is 936 square meters. Find the width?
72 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
936 = 13 × width
To find the value of width, we need to shift 13 to the left side.
936/13 = width
Width = 72.
Problem 3
There are 26 students and 936 books. How many books will each student get?
Each student will get 36 books.
Explanation
To find the books for each student, divide the total books by the students.
936/26 = 36
Problem 4
In a factory, there are 234 workers and 936 machines. How many machines are there for each worker?
Each worker has 4 machines.
Explanation
Dividing the machines by the total workers, we will get the number of machines for each worker.
936/234 = 4
Problem 5
936 chairs need to be arranged in 13 rows. How many chairs will go in each row?
Each row has 72 chairs.
Explanation
Divide total chairs by rows.
936/13 = 72
FAQs on Factors of 936
1.What are the factors of 936?
2.Mention the prime factors of 936.
3.Is 936 a multiple of 13?
4.Mention the factor pairs of 936?
5.What is the square of 936?
Important Glossaries for Factor of 936
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, and 936.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 13 are prime factors of 936.
- 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 936 are (1, 936), (2, 468), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 936 is 2³ × 3² × 13.
- Multiples: A multiple of a number is the product of that number and an integer. For example, 936 is a multiple of 13.
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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.
