Factors of 37 are the numbers which get multiplied and produce the result as 37. In this article, the factors of 37, how to find the factors of a number 37 and prime factors of 37 along with steps are given.
What are the Factors of 37?
As we know, 37 is a prime number, it has only two factors, i.e. 1 and 37.
Factors of 37 |
1 and 37 |
Also, we know that the factors of 37 are the exact divisors of that number. Thus, we can find the factors for any number in two ways, namely division method and factor pair method.
Factor pairs of 37
To find the pair factors of 37, multiply the 2 numbers in a pair to have the original number as 37. Such numbers are as follows:
1 × 37 = 37; (1, 37)
37 × 1 = 37; (37, 1)
These are the positive pair factors for 37.
Therefore, the factors of 37 are: 1 and 37.
We can also write the negative pair factors of 37 such as:
(-1) × (-37) = 37
(-37) × (-1) = 37
Thus, the negative pair factors of 37 are (-1, -37) and (-37, -1).
How to calculate Prime Factors of 37?
By prime factorization method, we can write the prime factors of 37 as given below.
37 = 1 × 37
We know that 37 is a prime number, we cannot factor it further since the prime numbers do not have factors other than 1 and the number itself.
Therefore, there are no other prime factors other than 37 itself.
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Frequently Asked Questions on Factors of 37
What are multiples of 37?
The multiples of 37 include:
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, etc.
Is 37 a prime or composite number?
37 is a prime number as it has only two factors such as 1 and 37 but a number is said to be composite, if it has more than two factors.
How do you find a factor?
Factors are the numbers you multiply to get another number. We can also say that factors of a number are the exact divisors of that number.
What is the GCF of 37 and 67?
The factors of 37 are 1 and 37.
The factors of 67 are 1 and 67.
Therefore, the GCF (Greatest Common Factor) of 37 and 67 is 1.
What is the GCF of 37 and 100?
The factors of 37 are 1 and 37.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100.
Therefore, the GCF (Greatest Common Factor) of 37 and 100 is 1.