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Factors of 37

Factors of 37 are the list of integers that can be evenly divided into 37. It has a total of 2 factors of which 37 is the biggest factor and the positive factors of 37 are 1 and 37. The Prime Factor of 37 is 1, 37 and its Factors in Pairs are (1, 37).

Factors of 37: 1 and 37
Negative Factors of 37: -1 and -37
Prime Factors of 37: 37
Prime Factorization of 37: 37
Sum of Factors of 37: 38

1.	What Are the Factors of 37?
2.	How to Calculate the Factors of 37?
3.	Tips and Tricks
4.	Factors of 37 by Prime Factorization
5.	Factors of 37 in Pairs
6.	FAQs on Factors of 37
7.	Challenging Questions

What Are the Factors of 37?

Before we learn about the factors of 37, let us learn about factors. 37 is a prime number. Hence, the factors of 37 are 1 and 37 only.

Factors of 37

How to Calculate the Factors of 37?

Let's learn how to calculate the factors of 37.

Step 1: Write down the number to be factored. In this case, the number is 37.
Step 2: Find the two numbers whose product gives 37.

Let's say we consider 37 and 1 to be those two numbers. Hence, the factors of 37 can be given as 1 and 37.

Thus, the factors of 37 are 1 and 37.

Explore factors using illustrations and interactive examples

Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
Factors of 39 - The factors of 39 are 1, 3, 13, and 39.
Factors of 49 - The factors of 49 are 1, 7, and 49.
Factors of 38 - The factors of 38 are 1, 2, 19, and 38.
Factors of 81 - The factors of 81 are 1, 3, 9, 27, and 81.

Tips and Tricks:

37 is a prime number.
The common factor of 37 and any other prime number will always be 1.

Factors of 37 by Prime Factorization

Let's learn a bit about prime factorization before we learn how to find the factors of 37.

Let's learn how to find factors using prime factorization.

Step 1: Write the pair of factors that on multiplication gives the required number.
Step 2: Check the factors to see whether each one of them is prime or not.
Step 3: Follow the below criterion to differentiate between the factorization procedure.

The criterion to differentiate between the procedure of factorization is given as follows:

If both the numbers are prime, they can be multiplied as is.
If one among them is prime and the other is composite, then the composite number is dissociated into its factors.
If both the numbers are composite, they can be dissociated into factors.

Factors of 37 by prime factorization are given by using the following steps.

Step 1: Write the pairs of factors which on multiplication gives 37.

37 is not divisible by any number other than 1.

Hence, 37 can be factored as a product of 37 and 1.

Step 2: Check the factors 37 and 1 to see whether each one of them is prime or not.

37 is a prime number. Thus, it can only be written as the product of 37 and 1.

Step 3: As per the criterion, 37 can thereby be written as 37 = 37 × 1

Factors of 37 in Pairs

The pair factors of 37 can be given as below:

Product of Factors	Pair factors
1 × 37	1, 37
37 × 1	37, 1

The above given factors are positive pair factors. It is possible to have negative pair factors as well because the product of two negative numbers gives a positive number.
Let's look at the negative pair factors.

Product of Factors	Pair factors
-1 × -37	-1, -37
-37 × -1	-37, -1

Challenging Questions:

Oliver has 37 notebooks but only 12 subjects. If he uses 1 notebook per subject, how many notebooks will be left? How will he divide the remaining notebooks among his 5 friends?
Amber has to divide $37 into 2 parts equally, how will she do it?

Factors of 37 Solved Examples

Example 1: Stuart is a carpenter. He can build 1 wardrobe in 3 days. How long will it take him to make 37 wardrobes?

Solution:

Stuart makes 1 wardrobe in 3 days.
Time taken by Stuart to make 37 wardrobes is given by, 37 × 3 = 111

Hence, Stuart will need 111 days to make 37 wardrobes.
Example 2: Lucas owns a fruit shop. Three of his customers ordered 6 mangoes, 12 mangoes, and 18 mangoes respectively. Help Lucas find whether the mangoes in total can be grouped in 37s. If this cannot be done, then find how many more mangoes are required to be added to group them as 37s?

Solution:

Total number of mangoes ordered by all 3 customers is, 6 + 12 + 18 = 36
36 mangoes cannot be grouped in 37's as 36 is not divisible by 37.

Hence, 1 mango should be added to make it into a group of 37 mangoes.
Example 3: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 37 and 38.

Solution:

The factors of 37 are 1, 37, and factors of 38 are 1, 2, 19, 38.

Therefore, the Lowest Common Multiple (LCM) of 37 and 38 is 1406 and the Greatest Common Factor (GCF) of 37 and 38 is 1.

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FAQs on Factors of 37

What are the Factors of 37?

The factors of 37 are 1, 37 and its negative factors are -1, -37.

What is the Greatest Common Factor of 37 and 21?

The factors of 37 are 1, 37 and the factors of 21 are 1, 3, 7, 21. 37 and 21 have only one common factor which is 1. This implies that 37 and 21 are co-prime.

Hence, the Greatest Common Factor (GCF) of 37 and 21 is 1.

What is the Sum of the Factors of 37?

Factors of 37 are 1, 37 and, the sum of all these factors is 1 + 37 = 38

What are the Prime Factors of 37?

The prime factor of 37 is 37.

How Many Factors of 37 are also Factors of 20?

Since the factors of 37 are 1, 37 and factors of 20 are 1, 2, 4, 5, 10, 20. Hence, 37 and 20 have only one common factor which is 1. Therefore, 37 and 20 are co-prime.

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