101 LearnersLast updated on May 26th, 2025
Factors of 939
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 939, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 939?
The numbers that divide 939 evenly are known as factors of 939.
A factor of 939 is a number that divides the number without remainder.
The factors of 939 are 1, 3, 313, and 939.
Negative factors of 939: -1, -3, -313, and -939.
Prime factors of 939: 3 and 313.
Prime factorization of 939: 3 × 313.
The sum of factors of 939: 1 + 3 + 313 + 939 = 1256
How to Find Factors of 939?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 939. Identifying the numbers which are multiplied to get the number 939 is the multiplication method.
Step 1: Multiply 939 by 1, 939 × 1 = 939.
Step 2: Check for other numbers that give 939 after multiplying. 3 × 313 = 939
Therefore, the positive factor pairs of 939 are: (1, 939) and (3, 313).
All these factor pairs result in 939.
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 939 by 1, 939 ÷ 1 = 939.
Step 2: Continue dividing 939 by the numbers until the remainder becomes 0.
939 ÷ 1 = 939
939 ÷ 3 = 313
Therefore, the factors of 939 are: 1, 3, 313, 939.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 939 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
939 ÷ 3 = 313
313 ÷ 313 = 1
The prime factors of 939 are 3 and 313.
The prime factorization of 939 is: 3 × 313.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 939 is divided by 3 to get 313.
Step 2: Here, 313 is a prime number, that cannot be divided anymore.
So, the prime factorization of 939 is: 3 × 313.
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 939: (1, 939) and (3, 313).
Negative factor pairs of 939: (-1, -939) and (-3, -313).
Common Mistakes and How to Avoid Them in Factors of 939
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 number. Always remember to include 1 and the number itself.
For example, in factors of 939, 1 and 939 are also factors.
Factors of 939 Examples
Problem 1
There are 9 friends and 939 marbles. How will they divide it equally?
They will get 104 marbles each, with 3 marbles remaining.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
939 ÷ 9 = 104
Problem 2
A banner is rectangular, the length of the banner is 3 meters and the total area is 939 square meters. Find the width?
313 meters.
Explanation
To find the width of the banner, we use the formula,
Area = length × width
939 = 3 × width
To find the value of width, we need to shift 3 to the left side.
939 ÷ 3 = width
Width = 313.
Problem 3
There are 313 bags and 939 candies. How many candies will be in each bag?
Each bag will have 3 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
939 ÷ 313 = 3
Problem 4
In a class, there are 939 students, and 3 groups. How many students are there in each group?
There are 313 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
939 ÷ 3 = 313
Problem 5
939 books need to be arranged in 313 shelves. How many books will go on each shelf?
Each of the shelves has 3 books.
Explanation
Divide total books by shelves.
939 ÷ 313 = 3
FAQs on Factors of 939
1.What are the factors of 939?
2.Mention the prime factors of 939.
3.Is 939 a multiple of 3?
4.Mention the factor pairs of 939?
5.What is the square of 939?
Important Glossaries for Factor of 939
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 939 are 1, 3, 313, and 939.
- Prime factors: The factors which are prime numbers. For example, 3 and 313 are prime factors of 939.
- 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 939 are (1, 939) and (3, 313).
- Prime factorization: The process of expressing a number as a product of its prime factors. For instance, the prime factorization of 939 is 3 × 313.
- Negative factors: These are the negative counterparts of the factors of a number. For example, the negative factors of 939 are -1, -3, -313, and -939.
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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.
