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Factors

Factors of 37 | Prime Factorization of 37 | Factor Tree of 37

Written by Prerit Jain

Updated on: 18 Aug 2023

Contents

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Factors of 37 | Prime Factorization of 37 | Factor Tree of 37

Factors of 37 | Prime Factorization of 37 | Factor Tree of 37

Factors of 37:  The factors of a number are a set of numbers that divide a given number equally. The number 37 is a prime number. So, it can only be divided by 1 or by itself. This means, 37 has only two factors, i.e., 1 and 37.

The factors of a number can be written in pairs. They have both positive and negative factors. In this article, we will learn how to find the factors of 37, its prime factorization, and the factor tree. Keep reading to learn more.

What Are the Factors of 37?

The factors of 37 are the numbers that can divide 37 evenly and they do not leave any remainder. Factors of 37 have both positive and negative and they are given in the table below:

Factors of 37: 1 and 37
Negative Factors of 37: -1 and -37
Prime Factorization of 37: 1 X 37 or 371
Pair Factors of 37:  (1, 37) and (37, 1)
Prime Factors of 37: 37
Sum of Factors of 37: 38
Sum of Prime Factors of 37: 37
Factors of 37

What Are the Factors of 37 in Pairs?

A pair factor of 37 is a combination of two numbers when multiplied together giving the product 37. These pair factors are also written in positive and negative pairs as shown below:

Positive Pair Factors of 37

The positive pair factors of 37 are (1, 37)

Positive Pair Factors of 37

Negative Pair Factors of 37

The negative pair factors of 37 are (-1, -37)

Negative Pair Factors of 37

How To Find Factors of 37 Using the Division Method?

Let us find the factors of 37 using the division method. We must note that 37 is a prime number. So only two numbers will be completely divisible by it without leaving any remainder. These numbers are 1 and 37. The following steps show how to find the factors of 37 using the division method:

37 ÷ 1 = 37
37 ÷ 37 = 1

Hence, factors of 37 are 1 and 37.

What Is the Prime Factorization of 37?

First, we need to check whether the given number (37) is a prime number. If it is a prime number, it has only two factors: 1 and 37. If the number is a composite number, then it has more than two factors.

37 is a prime number so, its factors are 1 and 37. Thus, there is no need to employ the prime factorization method to find the factors of 37.

Here is a visual representation of the prime factorization of 37, to present a more precise idea.

Prime Factorization of 37

What Is the Factor Tree of 37?

We can also use the factor tree to find the prime factors of 37. In this method, we will place the number 37 on top. As part of the branches, we will write down any set of pair factors of 37. Since 37 is a prime number, it will end after one step- when we split its factors into 1 and 37.

  • Step 1: Let us place the number 37 at the top of the factor tree. Now, let’s write down 37 in pairs, 1 and 37.
  • Step 2: Since they are both prime numbers, we can no longer divide them. This brings us to the end of the factor tree.

There is only one way to write the factor tree of 37. Below is a pictorial representation of the factor tree of 37:

Factor tree of 37

 

Solved Examples on Factors of 37

Here are some solved examples of 37 factors:

What is the sum of all the factors of 37?
1 and 37 are the 37 factors.
1 + 37 = 38
Hence, 38 is the sum of all 37 factors.

What are the factors and prime factors of 37?
The factors of 37 are 1 and 37.
The prime factors of 37 are 37 X 1 or 371.

What’s the highest common factor between 47 and 37?
The factors of 47 are 1 and 47.
Factors of 37 are 1 and 37.
Hence, from the above, the common factors of 47 and 37 is 1.
The highest and only common factor between 47 and 37 is 1.

What’s the highest common factor between 45 and 37?
The factors of 45 are 1, 5, 9, and 45.
Factors of 37 are 1 and 37.
Hence, from the above, the common factor of 45 and 37 is 1.
The highest and only common factor between 45 and 37 is 1.

Is 296 a factor of 37?
No, 296 is not a factor of 37. But 37 is the factor of 296.
Since,
37 X 8 = 296

What are the factors of -37?
The factors of -37 are -1 and -37.

What are the common factors of 37 and 53?
To find the common factors of 37 and 53, we need to find the factors of both numbers.
Factors of 37: 1 and 37
Factors of 53: 1 and 53
Hence the common factor of 37 and 53 is 1.

What are all the factors of 37?
The factors of 37 are 1 and 37.

What are the factors of 37 that are composite numbers?
Factors 37 are 1, and 37. Any number which can be divided by 2 is known as a composite number. Since, 1, and 37, cannot be divided by 2, factors of 37 have no composite numbers.

How many 37 factors are odd?
All factors of 37 are odd numbers and they are 1 and 37. Hence, factors of 37 have two odd numbers.

What are the factors of 17 and 37?
The factors of 17 are 1 and 17.
The factors of 37 are 1 and 37.

What are the common factors of 94 and 37?
To list out the common factors of 94 and 37, we need to find the factors of both numbers.
Factors of 94: 1, 2, 47 and 94
Factors of 37: 1 and 37
From the above, the common factor of 94 and 37 is 1.

How many different factors are there for the number 37?
A total of 2 factors are there for the number 37 and they are 1 and 37.

How many pair factors are there in 37?
A total of 2 pairs are there in factors of 37 and they are:
1, 37
37, 1

What is the largest factor of 37?
The largest factor of 37 is 37.
The second largest factor of 37 is 1.

FAQs on Factors of 37

List all the factors of 37
1 and 37 are the factors of 37.

What are the composite factors of 37?
37 is a prime number and it does not have any composite factors.

What are the factors of 37 in pairs?
(1, 37) and (37, 1) are the factors of 37 in pairs.

What are the positive factors for 37?
1 and 37 are the positive factors for 37.

What are the negative factors of 37?
-1 and -37 are the negative factors of 37.

We, now, have all the necessary information regarding the factors of 37. We hope this blog has been useful and easy to understand.

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Prerit Jain

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