# Factors of 1105

Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, and 1105

#### How to find factors of a number

 1.   Find factors of 1105 using Division Method 2.   Find factors of 1105 using Prime Factorization 3.   Find factors of 1105 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1105

• Divide 1105 by 1: 1105 ÷ 1 : Remainder = 0
• Divide 1105 by 5: 1105 ÷ 5 : Remainder = 0
• Divide 1105 by 13: 1105 ÷ 13 : Remainder = 0
• Divide 1105 by 17: 1105 ÷ 17 : Remainder = 0
• Divide 1105 by 65: 1105 ÷ 65 : Remainder = 0
• Divide 1105 by 85: 1105 ÷ 85 : Remainder = 0
• Divide 1105 by 221: 1105 ÷ 221 : Remainder = 0
• Divide 1105 by 1105: 1105 ÷ 1105 : Remainder = 0

Hence, Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, and 1105

#### 2. Steps to find factors of 1105 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 1105 using the division method, follow these steps:

• Step 1. Start dividing 1105 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 1105, which is 5. Divide 1105 by 5 to obtain the quotient (221).
1105 ÷ 5 = 221
• Step 3. Repeat step 1 with the obtained quotient (221).
221 ÷ 13 = 17
17 ÷ 17 = 1

So, the prime factorization of 1105 is, 1105 = 5 x 13 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1105 as shown below:

So, the prime factorization of 1105 is, 1105 = 5 x 13 x 17.

#### 3. Find factors of 1105 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 1105 would be the two numbers which, when multiplied, give 1105 as the result.

The following table represents the calculation of factors of 1105 in pairs:

Factor Pair Pair Factorization
1 and 1105 1 x 1105 = 1105
5 and 221 5 x 221 = 1105
13 and 85 13 x 85 = 1105
17 and 65 17 x 65 = 1105

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 1105. They are called negative pair factors.

Hence, the negative pairs of 1105 would be ( -1 , -1105 ) , ( -5 , -221 ) , ( -13 , -85 ) and ( -17 , -65 ) .

#### 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, 13, 17, 65, 85, 221, 1105 are exact divisors of 1105.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1105 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1105.

• Which is the smallest prime factor of 1105?

The smallest prime factor of 1105 is 5.

• Is 1105 a whole number?

Yes 1105 is a whole number.

• What are the prime factors of 1105?

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105.
Prime factors of 1105 are 5, 13, 17.

• What two numbers make 1105?

Two numbers that make 1105 are 5 and 221.

• What are multiples of 1105?

First five multiples of 1105 are 2210, 3315, 4420, 5525.

• What is the sum of all factors of 1105?

The sum of all factors of 1105 is 1512.

• What are five multiples of 1105?

First five multiples of 1105 are 2210, 3315, 4420, 5525, 6630.

• Is 1105 a perfect square?

No 1105 is not a perfect square.

• What is the greatest prime factors of 1105?

The greatest prime factor of 1105 is 17.

#### Examples of Factors

How many factors are there for 1105?

Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 1105. Can you predict the answer?

7 factor(s) of 1105 are 1, 5, 13, 17, 65, 85, 221.

Sammy is puzzled while calculating the prime factors of 1105. Can you help him find them?

Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105.
Prime factors of 1105 are 5, 13, 17

What is prime factorization of 1105?

Prime factorization of 1105 is 5 x 13 x 17 = 5 x 13 x 17.

Ariel has been assigned the task to find the product of all the prime factors of 1105. Can you help her?

Prime factors of 1105 are 5, 13, 17.
Hence, the product of prime factors of 1105.

Can you help Rubel to find out the product of the even factors of 1105?

Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105.
Even factors of 1105 are 0.
Hence, product of even factors of 1105 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1105. Help him in finding the mean of 1105.

Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1105 is 1 + 5 + 13 + 17 + 65 + 85 + 221 + 1105 = 1512.
Hence, the mean of factors of 1105 is 1512 ÷ 8 = 189.00.