120 LearnersLast updated on May 26th, 2025
Factors of 1937
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 1937, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1937?
The numbers that divide 1937 evenly are known as factors of 1937.
A factor of 1937 is a number that divides the number without a remainder.
Since 1937 is a prime number, its only factors are 1 and 1937.
Negative factors of 1937: -1 and -1937.
Prime factors of 1937: 1937 itself, as it is a prime number.
Prime factorization of 1937: 1937.
The sum of factors of 1937: 1 + 1937 = 1938
How to Find Factors of 1937?
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 1937.
Since 1937 is a prime number, it cannot be expressed as a product of two different positive integers except for 1 and itself.
Therefore, the only positive factor pair of 1937 is: (1, 1937).
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 1937 by 1, 1937 ÷ 1 = 1937.
Step 2: Check divisibility by other numbers. Since it's prime, no other divisions will result in a whole number.
Therefore, the factors of 1937 are: 1 and 1937.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. For 1937, since it is a prime number, the number itself is its only prime factor.
Using Prime Factorization: Since 1937 is a prime number, it cannot be broken down further into smaller prime factors. The prime factorization of 1937 is: 1937.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1937 is a prime number, it does not break down further. It is represented as a single node in a factor tree.
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 1937: (1, 1937).
Negative factor pairs of 1937: (-1, -1937).
Common Mistakes and How to Avoid Them in Factors of 1937
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 any number. Always remember to include 1 and the number itself.
For example, for the factors of 1937, 1 and 1937 are factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1937 include -1 and -1937.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1937/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1937 are prime numbers. In this case, 1937 itself is the only prime factor.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing 1937 as a prime and trying to break it down further.
Factors of 1937 Examples
Problem 1
There are 1937 apples and 1 basket. How many apples will go into the basket?
All 1937 apples will go into the basket.
Explanation
Since there's only one basket, all the apples will be placed in that single basket.
1937/1 = 1937
Problem 2
A race track is 1937 meters long, and a runner completes 1 lap. How many meters did the runner run?
The runner ran 1937 meters.
Explanation
Since the runner completes 1 lap, they run the entire length of the track.
1937 meters.
Problem 3
There are 1937 beads and 1 string. How many beads will go on the string?
All 1937 beads will go on the string.
Explanation
Since there's only one string, all the beads will be placed on that single string.
1937/1 = 1937
Problem 4
A ribbon is 1937 cm long, and it’s cut into 1 piece. How long is the piece?
The piece is 1937 cm long.
Explanation
Since it is cut into 1 piece, the entire ribbon length is 1937 cm.
1937/1 = 1937
Problem 5
1937 stickers are distributed equally among 1 person. How many stickers does the person get?
The person gets all 1937 stickers.
Explanation
Since there is only one person, they receive all the stickers.
1937/1 = 1937
FAQs on Factors of 1937
1.What are the factors of 1937?
2.Mention the prime factors of 1937.
3.Is 1937 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 1937?
5.Is 1937 a prime number?
6.How can children in India use numbers in everyday life to understand Factors of 1937?
7.What are some fun ways kids in India can practice Factors of 1937 with numbers?
8.What role do numbers and Factors of 1937 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1937 skills?
Important Glossaries for Factors of 1937
- Factors: The numbers that divide a given number without leaving a remainder. For example, the factors of 1937 are 1 and 1937.
- Prime factors: The factors which are prime numbers. For example, 1937 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 1937 is (1, 1937).
- Prime number: A number that has no divisors other than 1 and itself. For example, 1937 is a prime number.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to a given number. For example, 1 and 1937 multiply to 1937.
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About BrightChamps in India
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.
