# Factors of 195

Factors of 195 are 1, 3, 5, 13, 15, 39, 65, and 195

#### How to find factors of a number

 1.   Find factors of 195 using Division Method 2.   Find factors of 195 using Prime Factorization 3.   Find factors of 195 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 195

• Divide 195 by 1: 195 ÷ 1 : Remainder = 0
• Divide 195 by 3: 195 ÷ 3 : Remainder = 0
• Divide 195 by 5: 195 ÷ 5 : Remainder = 0
• Divide 195 by 13: 195 ÷ 13 : Remainder = 0
• Divide 195 by 15: 195 ÷ 15 : Remainder = 0
• Divide 195 by 39: 195 ÷ 39 : Remainder = 0
• Divide 195 by 65: 195 ÷ 65 : Remainder = 0
• Divide 195 by 195: 195 ÷ 195 : Remainder = 0

Hence, Factors of 195 are 1, 3, 5, 13, 15, 39, 65, and 195

#### 2. Steps to find factors of 195 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 195 using the division method, follow these steps:

• Step 1. Start dividing 195 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 195, which is 3. Divide 195 by 3 to obtain the quotient (65).
195 ÷ 3 = 65
• Step 3. Repeat step 1 with the obtained quotient (65).
65 ÷ 5 = 13
13 ÷ 13 = 1

So, the prime factorization of 195 is, 195 = 3 x 5 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 195 as shown below:

So, the prime factorization of 195 is, 195 = 3 x 5 x 13.

#### 3. Find factors of 195 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 195 would be the two numbers which, when multiplied, give 195 as the result.

The following table represents the calculation of factors of 195 in pairs:

Factor Pair Pair Factorization
1 and 195 1 x 195 = 195
3 and 65 3 x 65 = 195
5 and 39 5 x 39 = 195
13 and 15 13 x 15 = 195

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 195. They are called negative pair factors.

Hence, the negative pairs of 195 would be ( -1 , -195 ) , ( -3 , -65 ) , ( -5 , -39 ) and ( -13 , -15 ) .

#### 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 number is a factor of zero (0), since 195 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 3, 5, 13, 15, 39, 65, 195 are exact divisors of 195.
• Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195. Each factor divides 195 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -195 )?

Factors of -195 are -1, -3, -5, -13, -15, -39, -65, -195.

• What is the sum of all factors of 195?

The sum of all factors of 195 is 336.

• What is prime factorization of 195?

Prime factorization of 195 is 3 x 5 x 13.

• What are the pair factors of 195?

Pair factors of 195 are (1,195), (3,65), (5,39), (13,15).

• What are six multiples of 195?

First five multiples of 195 are 390, 585, 780, 975, 1170, 1365.

• Is 195 a whole number?

Yes 195 is a whole number.

• Which is the smallest prime factor of 195?

Smallest prime factor of 195 is 3.

• What are five multiples of 195?

First five multiples of 195 are 390, 585, 780, 975, 1170.

• Write all factors of 195?

Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195.

#### Examples of Factors

Joey wants to write all the prime factors of 195 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 195 are 3, 5, 13.
So in exponential form it can be written as 3 x 5 x 13.

How many factors are there for 195?

Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 195. Can you predict the answer?

7 factor(s) of 195 are 1, 3, 5, 13, 15, 39, 65.

Sammy is puzzled while calculating the prime factors of 195. Can you help him find them?

Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195.
Prime factors of 195 are 3, 5, 13

What is prime factorization of 195?

Prime factorization of 195 is 3 x 5 x 13 = 3 x 5 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 195. Can you help her?

Prime factors of 195 are 3, 5, 13.
Hence, the product of prime factors of 195.

Can you help Rubel to find out the product of the even factors of 195?

Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195.
Even factors of 195 are 0.
Hence, product of even factors of 195 is; 0 = 0.