102 LearnersLast updated on May 26th, 2025
Factors of 937
Factors are the numbers that divide any given number evenly without 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 937, how they are used in real life, and tips to learn them quickly.
What are the Factors of 937?
The numbers that divide 937 evenly are known as factors of 937.
A factor of 937 is a number that divides the number without remainder.
The factors of 937 are 1 and 937.
Negative factors of 937: -1 and -937.
Prime factorization of 937: 937 is a prime number, so it has no prime factors other than itself and 1.
The sum of factors of 937: 1 + 937 = 938
How to Find Factors of 937?
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 937.
However, since 937 is a prime number, the only multiplication that works is 937 × 1 = 937.
Therefore, the positive factor pairs of 937 are: (1, 937).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 937 by 1, 937 ÷ 1 = 937.
Step 2: Continue dividing 937 by numbers until the remainder becomes 0.
Since 937 is a prime number, no other divisions result in a whole number.
Therefore, the factors of 937 are: 1 and 937.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers.
However, 937 is a prime number itself, so the only prime factor is 937.
The prime factorization of 937 is simply 937 × 1.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 937 is a prime number, it cannot be broken down further.
The factor tree for 937 is simply: 937 | 1
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 937: (1, 937).
Negative factor pairs of 937: (-1, -937).
Common Mistakes and How to Avoid Them in Factors of 937
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 factors for every whole number. Always remember to include 1 and the number itself.
For example, in factors of 937, 1 and 937 are also factors.
Factors of 937 Examples
Problem 1
There are 937 students and 1 classroom. How will they all fit?
All 937 students will be in the classroom.
Explanation
To fit all students, we use the total number of students as the factor.
937/1 = 937
Problem 2
A book has 937 pages and is split into 1 volume. How many pages are in the volume?
The volume has 937 pages.
Explanation
To find the number of pages in the volume, we use the total pages.
937/1 = 937
Problem 3
A field is rectangular, and its total area is 937 square meters with a length of 1 meter. Find the width.
The width is 937 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
937 = 1 × width
Width = 937
Problem 4
There is 1 shelf for 937 books. How many books will go on the shelf?
All 937 books will go on the shelf.
Explanation
Divide total books by shelves.
937/1 = 937
Problem 5
937 apples need to be divided equally among 1 basket. How many apples will be in the basket?
All 937 apples will be in the basket.
Explanation
Divide total apples by baskets.
937/1 = 937
FAQs on Factors of 937
1.What are the factors of 937?
2.Is 937 a prime number?
3.Can 937 be divided by any number other than 1 and itself?
4.What are the negative factors of 937?
5.Is 937 a multiple of any other number?
Important Glossaries for Factors of 937
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 937 are 1 and 937.
- Prime Factors: The factors which are prime numbers. For example, 937 itself is a prime factor.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 937 is a prime number.
- Factor Pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 937 is (1, 937).
- Negative Factors: Factors that are negative numbers. For example, -1 and -937 are negative factors of 937.
Explore More numbers
Previous to Factors of 937
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.
