# Factors of 37

Factors of 37 are 1 and 37

#### How to find factors of a number

 1.   Find factors of 37 using Division Method 2.   Find factors of 37 using Prime Factorization 3.   Find factors of 37 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 37

• Divide 37 by 1: 37 ÷ 1 : Remainder = 0
• Divide 37 by 37: 37 ÷ 37 : Remainder = 0

Hence, Factors of 37 are 1 and 37

#### 2. Steps to find factors of 37 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 37 using the division method, follow these steps:

• Step 1. Start dividing 37 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 37, which is 37. Divide 37 by 37 to obtain the quotient (1).
37 ÷ 37 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 37 is, 37 = 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 37 as shown below:

So, the prime factorization of 37 is, 37 = 37.

#### 3. Find factors of 37 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 37 would be the two numbers which, when multiplied, give 37 as the result.

The following table represents the calculation of factors of 37 in pairs:

Factor Pair Pair Factorization
1 and 37 1 x 37 = 37

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 37. They are called negative pair factors.

Hence, the negative pairs of 37 would be ( -1 , -37 ) , .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 37 are exact divisors of 37.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 37 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 37.

• What are the prime factors of 37?

The factors of 37 are 1, 37.
Prime factors of 37 are 37.

• What is the sum of all factors of 37?

The sum of all factors of 37 is 38.

• What are the pair factors of 37?

Pair factors of 37 are (1,37).

• What two numbers make 37?

Two numbers that make 37 are 37 and 1.

• What are multiples of 37?

First five multiples of 37 are 74, 111, 148, 185.

• Is 37 a perfect square?

No 37 is not a perfect square.

• Which is greatest factor of 37?

The greatest factor of 37 is 1.

• How do you factors of 37?

Factors of 37 are 1, 37.

• What are five multiples of 37?

First five multiples of 37 are 74, 111, 148, 185, 222.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 37?

Factors of 37 are 1, 37.
Even factors of 37 are 0.
Hence, product of even factors of 37 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 37? Help her in writing all the factors.

Positive factors are 1, 37.
Negative factors are -1, -37.

How many factors are there for 37?

Factors of 37 are 1, 37.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 37. Can you help him find them?

Factors of 37 are 1, 37.
Prime factors of 37 are 37

Joey wants to write all the prime factors of 37 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 37 are 37.
So in exponential form it can be written as 37.

What is prime factorization of 37?

Prime factorization of 37 is 37 = 37.

Can you help Rubel to find out the product of the even factors of 37?

Factors of 37 are 1, 37.
Even factors of 37 are 0.
Hence, product of even factors of 37 is; 0 = 0.