# Factors of 185

Factors of 185 are 1, 5, 37, and 185

#### How to find factors of a number

 1.   Find factors of 185 using Division Method 2.   Find factors of 185 using Prime Factorization 3.   Find factors of 185 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 185

• Divide 185 by 1: 185 ÷ 1 : Remainder = 0
• Divide 185 by 5: 185 ÷ 5 : Remainder = 0
• Divide 185 by 37: 185 ÷ 37 : Remainder = 0
• Divide 185 by 185: 185 ÷ 185 : Remainder = 0

Hence, Factors of 185 are 1, 5, 37, and 185

#### 2. Steps to find factors of 185 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 185 using the division method, follow these steps:

• Step 1. Start dividing 185 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 185, which is 5. Divide 185 by 5 to obtain the quotient (37).
185 ÷ 5 = 37
• Step 3. Repeat step 1 with the obtained quotient (37).
37 ÷ 37 = 1

So, the prime factorization of 185 is, 185 = 5 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 185 as shown below:

So, the prime factorization of 185 is, 185 = 5 x 37.

#### 3. Find factors of 185 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 185 would be the two numbers which, when multiplied, give 185 as the result.

The following table represents the calculation of factors of 185 in pairs:

Factor Pair Pair Factorization
1 and 185 1 x 185 = 185
5 and 37 5 x 37 = 185

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 185. They are called negative pair factors.

Hence, the negative pairs of 185 would be ( -1 , -185 ) , ( -5 , -37 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a 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, 5, 37, 185 are exact divisors of 185.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 185 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 185.

• What are the pair factors of 185?

Pair factors of 185 are (1,185), (5,37).

• What are five multiples of 185?

First five multiples of 185 are 370, 555, 740, 925, 1110.

• What two numbers make 185?

Two numbers that make 185 are 5 and 37.

• What is the sum of all factors of 185?

The sum of all factors of 185 is 228.

• What are factors of -185?

Factors of -185 are -1, -5, -37, -185.

• What are factors of 185?

Factors of 185 are 1, 5, 37, 185.

• Is 185 a perfect square?

No 185 is not a perfect square.

• Which is the smallest prime factor of 185?

Smallest prime factor of 185 is 5.

• Which is greatest factor of 185?

The greatest factor of 185 is 37.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 185?

Factors of 185 are 1, 5, 37, 185.
Odd factors of 185 are 1, 5, 37, 185.
Hence product of odd factors of 185 is; 1 x 5 x 37 x 185 = 34225.

Joey wants to write all the prime factors of 185 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 185 are 5, 37.
So in exponential form it can be written as 5 x 37.

How many factors are there for 185?

Factors of 185 are 1, 5, 37, 185.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 185. Can you predict the answer?

3 factor(s) of 185 are 1, 5, 37.

Sammy is puzzled while calculating the prime factors of 185. Can you help him find them?

Factors of 185 are 1, 5, 37, 185.
Prime factors of 185 are 5, 37

What is prime factorization of 185?

Prime factorization of 185 is 5 x 37 = 5 x 37.

Can you help Rubel to find out the product of the even factors of 185?

Factors of 185 are 1, 5, 37, 185.
Even factors of 185 are 0.
Hence, product of even factors of 185 is; 0 = 0.