Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 1937 apples and 1 basket. How many apples will go into the basket?
All 1937 apples will go into the basket.
Since there's only one basket, all the apples will be placed in that single basket.
1937/1 = 1937
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.
Since the runner completes 1 lap, they run the entire length of the track.
1937 meters.
There are 1937 beads and 1 string. How many beads will go on the string?
All 1937 beads will go on the string.
Since there's only one string, all the beads will be placed on that single string.
1937/1 = 1937
A ribbon is 1937 cm long, and it’s cut into 1 piece. How long is the piece?
The piece is 1937 cm long.
Since it is cut into 1 piece, the entire ribbon length is 1937 cm.
1937/1 = 1937
1937 stickers are distributed equally among 1 person. How many stickers does the person get?
The person gets all 1937 stickers.
Since there is only one person, they receive all the stickers.
1937/1 = 1937
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.
: She loves to read number jokes and games.