Factors of 37
2026-02-28 08:19 Diff
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Last updated on December 11, 2025

Factors are those numbers which divide 37 perfectly, or we can say that it is a number which, on multiplication with other integers, produces 37. You can observe that, Factors have a great impact on mathematical problem-solving starting from lower grades to high school.

What are the factors of 37

Factors of 37 include only 1 and 37 itself. 

Negative factors of 37: Negative Factors of 37 are -1 and -37.


Prime factors of 37: 1 and 37.


Prime Factorization of 37:  37×1.


Sum of Factors:  37+1 =38
 

How to Find the Factors of 37

We can find the factors of 7 through some methods given below:

  • Multiplication Method
  • Division Method
  • Prime Factor and Prime Factorization
  • Factor Tree

Finding Factors Using Multiplication Method

The multiplication method helps to find the pair of factors that give 37 as their product. We can obtain many pairs like this, but for 37, let us see how many we get.

 Multiply 1 and 37, 1×37 = 37.


So, 1 and 37 are the only factors of 37.
 

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Finding Factors Using Division Method

The division method finds the numbers that perfectly divides the given number 37. 


1 and 37 are the only factors that the number 37 has. So to verify the factors of 37 using the division method, we just need to divide 37 by 1→ 37/1 =37 and 37 by 37 → 37/37 =1

Prime Factors and Factorization

To get the 37 as their product, we multiply a set of prime numbers, and that set is called prime factors. Prime factorization is the method of factoring a number by prime numbers only.

  • Prime Factors of 37: 1, 37.
  • Prime Factorization of 37: 37×1

Factor tree

A factor tree is not needed to find the factors of 37. Since 37 is a prime number, the multiplication and division methods are enough to calculate the factors of 37. Factor trees are useful when you are finding factors of composite numbers.


Factor Pairs: Factors of 37 can be written in both positive pairs and negative pairs.


Positive pair : (1,37)


Negative Pair: (-1,-37)

The product of the factor pairs will be equal to the number 37. 1×37=37 and -1×(-37)=37.
 

Common Mistakes and How to Avoid Them in Factors of 37

Mistakes can occur while finding the factors. Learn about the common errors that can occur. Solutions to solve the common mistakes are given below.
 

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Problem 1

Check whether 37 is prime or not.

Okay, lets begin

Prime factorization of 37: 37×1
 

Explanation

no other numbers can factorize 37. Hence, 37 is a prime number.
 

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Problem 2

Is 37 divisible by 2?

Okay, lets begin

37/2=18.5, so, 37 is not perfectly divisible by 2, since, 2 is not a factor of 37


Answer: No.
 

Explanation

 Checked by dividing 37 by 2.
 

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Problem 3

Can 37 be a factor of 407?

Okay, lets begin

 let’s divide 407 by 37 and check. 


407/37 =11


Answer: 11
 

Explanation

We check whether a number is a factor of a given number by simply dividing it.
 

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Problem 4

Can 37 be a factor of 75?

Okay, lets begin

 37 cannot be a factor of 75, because 37 does not divide 75 perfectly. 


Answer: No.
 

Explanation

Tried dividing 75 by 37, it is not possible, because it got a remainder.

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FAQs on Factors of 37

1.Why is 37 a prime number?

37 is a prime number because it has no factors other than 1 and itself.
 

2.Is 7 a factor of 37?

 No, 7 is not a factor of 37, because 7 does not divide 37 exactly.
 

3.Why is 37 a factor of 888?

 37 is a factor of 888 because 37×24 = 888.
 

4. Is 3 a factor of 96?

Yes, 3 is a factor of 96 since, 96/3 =32.

Important Glossaries for Factors of 37

  • Factors - These are numbers that divide the given number perfectly, i.e., without leaving any remainder. 
  • Prime Factorization - This involves breaking the number into its prime factors.
  • Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.
  • Composite numbers - These are numbers having more than two factors.
  • Multiple - It is a product of the given number and any other integer.
     

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Hiralee Lalitkumar Makwana

About the Author

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.

Fun Fact

: She loves to read number jokes and games.