Factors Of 37 | Easy Factors Pairs and Prime Factorization
Contents
Factors Of 37
Numbers that multiply and result in 37 are called factors of 37. Here, you will learn about the factors of 37, how to find the prime factors of 37, and how to find 37’s factors.
What are the Factors of 37?
Since 37 is a prime number, it has only two factors, namely 1 and 37.
Factors of 37 : 1 and 37
Furthermore, we know that 37’s factors are its exact divisors. As a result, you can find the factors for any number with two different methods, namely the division method and the factor pair method.
Factor pairs of 37
You can find the pair factors of 37 by multiplying the two numbers in a pair.
Positive Pair Factors:
Here they are:
1 × 37 = 37; (1, 37)
37 × 1 = 37; (37, 1)
These are the positive pair factors for 37.
As a result, 37 has factors 1 and 37.
Negative Pair Factors:
It is also possible to write 37’s negative pair factors as follows:
(-1) × (-37) = 37
(-37) × (-1) = 37
Consequently, the negative pair factors of 37 are (-1, -37) and (-37, -1).
How to calculate Prime Factors of 37?
Here are the prime factors of 37 according to prime factorization.
Prime Factorization of 37 = 1 × 37
As you know, prime numbers have only 1 and the number itself as factors. Since 37 is a prime number, we cannot factor it further.
As a result, 37 is the only prime factor.
Link Related Factors | ||
Factors of 30 = 1,2,3,5,6,10,15 and 30. | 24-factor pairs = 1, 2, 3, 4, 6, 8, 12, and 24. | factorization of 26 = 1, 2, 13, and 26. |
Factors of 36 = 1,2,3,4,6,9,12,18, and 36. | Factors of 38= 1, 2, 19, 38. | Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42. |
Factors of 45 = 1, 3, 5, 9, 15, and 45. | Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. | 40 factor pairs = 1, 2, 4, 5, 8, 10, 20, and 40. |
Factors of 50 = 1, 2, 5, 10, 25, 50. | Factors of 54 = 1, 2, 3, 6, 9, 18, 27, and 54. | Factors of 56 = 1, 2, 4, 7, 8, 14, 28, and 56. |
Solved Examples
Example 1:
What are the common factors between 38 and 24?
Solution:
Factors of 38= 1, 2, 19, and 38.
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.
Hence, 38 and 24 have common factors of 1 and 2.
Example 2:
Calculate the common factors of 37 and 40.
Solution:
1, and 37 are the factors of 37.
Factors of 40 = 1, 2, 4, 5, 8, 10, 20, and 40.
Therefore, 37 and 40 have a common factor of 1.
FAQs
How many multiples of 37 are there?
Among the multiples of 37 are:
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, etc.
Does 37 have a prime or composite value?
As 37 has only two factors, like 1 and 37, it is considered a prime number. However, a number is considered composite if it has more than two factors.
What is a factor?
The factors are the numbers that are multiplied to get another number. Factors of a number are also known as exact divisors of that number.
What is the GCF of 37 and 67?
1 and 37 are the factors of 37.
67 has the factors 1 and 67.
Accordingly, the GCF (Greatest Common Factor) of 37 and 67 is 1.
What is the GCF between 37 and 100?
and 37 are the factors of 37.
Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
Consequently, the GCF (The Greatest Common Factor) of 37 and 100 is 1.
Get Factors Of More Numbers Here:
Factors of 20= 1, 2, 4, 5, 10, 20.
Factors of 21= 1, 3, 7, and 21.
Factors of 23= 1, 23
Factors of 24= 1, 2, 3, 4, 6, 12 and 24.
factorization of 26 = 1, 2, 13, and 26.
Factors of 25= 1, 5, and 25.
Factors of 27= 1, 3, 9, and 27.
Factors of 28= 1, 2, 4, 7, 14 and 28.
Factors of 30= 1, 2, 3, 5, 6, 10, 15 and 30.
Factors of 32= 1, 2, 4, 8, 16 and 32.
Factors of 35= 1, 5, 7, 35
Factors of 36= 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Factors of 40= 1, 2, 4, 5, 8, 10, 20 and 40.