# Factors of 1095

Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, and 1095

#### How to find factors of a number

 1.   Find factors of 1095 using Division Method 2.   Find factors of 1095 using Prime Factorization 3.   Find factors of 1095 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1095

• Divide 1095 by 1: 1095 ÷ 1 : Remainder = 0
• Divide 1095 by 3: 1095 ÷ 3 : Remainder = 0
• Divide 1095 by 5: 1095 ÷ 5 : Remainder = 0
• Divide 1095 by 15: 1095 ÷ 15 : Remainder = 0
• Divide 1095 by 73: 1095 ÷ 73 : Remainder = 0
• Divide 1095 by 219: 1095 ÷ 219 : Remainder = 0
• Divide 1095 by 365: 1095 ÷ 365 : Remainder = 0
• Divide 1095 by 1095: 1095 ÷ 1095 : Remainder = 0

Hence, Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, and 1095

#### 2. Steps to find factors of 1095 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 1095 using the division method, follow these steps:

• Step 1. Start dividing 1095 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 1095, which is 3. Divide 1095 by 3 to obtain the quotient (365).
1095 ÷ 3 = 365
• Step 3. Repeat step 1 with the obtained quotient (365).
365 ÷ 5 = 73
73 ÷ 73 = 1

So, the prime factorization of 1095 is, 1095 = 3 x 5 x 73.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1095 as shown below:

So, the prime factorization of 1095 is, 1095 = 3 x 5 x 73.

#### 3. Find factors of 1095 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 1095 would be the two numbers which, when multiplied, give 1095 as the result.

The following table represents the calculation of factors of 1095 in pairs:

Factor Pair Pair Factorization
1 and 1095 1 x 1095 = 1095
3 and 365 3 x 365 = 1095
5 and 219 5 x 219 = 1095
15 and 73 15 x 73 = 1095

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 1095. They are called negative pair factors.

Hence, the negative pairs of 1095 would be ( -1 , -1095 ) , ( -3 , -365 ) , ( -5 , -219 ) and ( -15 , -73 ) .

#### 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 1095 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, 15, 73, 219, 365, 1095 are exact divisors of 1095.
• Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095. Each factor divides 1095 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -1095 )?

Factors of -1095 are -1, -3, -5, -15, -73, -219, -365, -1095.

• What is the sum of all factors of 1095?

The sum of all factors of 1095 is 1776.

• What is prime factorization of 1095?

Prime factorization of 1095 is 3 x 5 x 73.

• What are the pair factors of 1095?

Pair factors of 1095 are (1,1095), (3,365), (5,219), (15,73).

• What are six multiples of 1095?

First five multiples of 1095 are 2190, 3285, 4380, 5475, 6570, 7665.

• Is 1095 a whole number?

Yes 1095 is a whole number.

• Which is the smallest prime factor of 1095?

Smallest prime factor of 1095 is 3.

• What are five multiples of 1095?

First five multiples of 1095 are 2190, 3285, 4380, 5475, 6570.

• Write all factors of 1095?

Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095.

#### Examples of Factors

Joey wants to write all the prime factors of 1095 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1095 are 3, 5, 73.
So in exponential form it can be written as 3 x 5 x 73.

How many factors are there for 1095?

Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 1095. Can you predict the answer?

7 factor(s) of 1095 are 1, 3, 5, 15, 73, 219, 365.

Sammy is puzzled while calculating the prime factors of 1095. Can you help him find them?

Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095.
Prime factors of 1095 are 3, 5, 73

What is prime factorization of 1095?

Prime factorization of 1095 is 3 x 5 x 73 = 3 x 5 x 73.

Ariel has been assigned the task to find the product of all the prime factors of 1095. Can you help her?

Prime factors of 1095 are 3, 5, 73.
Hence, the product of prime factors of 1095.

Can you help Rubel to find out the product of the even factors of 1095?

Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095.
Even factors of 1095 are 0.
Hence, product of even factors of 1095 is; 0 = 0.